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ICSE Class 10 Physics (Science Paper – 1) Solved Paper 2025

Complete ICSE Class X Physics 2025 question paper with accurate, step-by-step solutions.

ICSEClass XPhysics202580 Marks2 h43 Questions

Question 1 of 43

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Section A (40 Marks)

(Attempt all questions from this section)

Question 1 (i)

1 (i)ForceEasy1 Mark

A body is acted upon by two equal and opposite forces, that are NOT along the same straight line. The body will :

Answer

(b) have only rotational motion

Explanation:

Forces are equal and opposite, but not along the same straight line. Therefore, the forces form a couple and the body has rotational motion only.

Question 1 (ii)

1 (ii)ForceEasy1 Mark

Which among the following is a vector quantity?

Answer

(d) moment of couple

Explanation:

A couple has both magnitude and direction, making it a vector quantity. Its direction is perpendicular to the plane in which the two forces lie. Its magnitude is calculated by multiplying one of the forces by the perpendicular distance between their lines of action.

Question 1 (iii)

1 (iii)Work, Energy and PowerEasy1 Mark

What is the correct energy transformation during burning of a candle?

Answer

(c) chemical → heat + light

Explanation:

When a candle burns, chemical energy stored in the wax is transformed into heat and light energy through a combustion reaction.

Question 1 (iv)

1 (iv)Refraction of Light at Plane SurfacesEasy1 Mark

When a ray of light passes from one optical medium to another, which of the following physical quantities does NOT change?

Answer

(b) Frequency of the wave

Explanation:

Frequency of wave depends on the source and not on the medium through which it propagates.

Question 1 (v)

1 (v)SpectrumEasy1 Mark

Which one of the following combinations is the correct ascending order of electromagnetic waves in terms of wavelength?

Answer

(a) Gamma-rays, visible light, microwaves

Explanation:

Wavelength of gamma rays is less than 0.01 nm, wavelength of visible light ranges from 400 to 800 nm and of microwave ranges from 1 mm to 1 m.

Question 1 (vi)

1 (vi)MachinesEasy1 Mark

For a lever, a graph is plotted with load on Y-axis and effort on X-axis. Which of the following represents the slope of the graph?

Answer

(a) Mechanical advantage

Explanation:

Load vs effort graph is a straight line and slope of the graph = Load/effort = Mechanical advantage.

Question 1 (vii)

1 (vii)Refraction Through a LensEasy1 Mark

For a real image formed by a convex lens, the ratio of I : O = 2 : 5, then the object is :

(I is the height of the image and O is the height of the object)

Answer

(b) beyond 2F

Explanation:

Here, real image size < object size and this happens when the object is placed beyond 2F.

Convex lens forming image between f2 and 2f2

Question 1 (viii)

1 (viii)Refraction of Light at Plane SurfacesEasy1 Mark

A ray of light is incident normally on a face of an equilateral prism. The ray gets totally reflected at the second refracting surface. The total deviation produced in the path of the ray is:

Answer

(b) 60°

Explanation:

As, the ray is normally incident on face AB so it passes undeviated. Angle of incidence on face AC is 60°. The reflected ray is incident normally on face BC and passes undeviated.

Bending of light through equilateral prism

Now, from the above diagram,

∠NRS = 60°

∴ ∠SRC = 30°

∠ARQ = 30°

∴ ∠CRT = 30°

RT is the original path of the incident ray.

So, total deviation = ∠SRT = 30° + 30° = 60°

Question 1 (ix)

1 (ix)Current ElectricityEasy1 Mark

In a closed circuit containing a bulb and a cell, the electromotive force (ε) and the terminal voltage (V) is related as.
(Given I is current and r is internal resistance.)

Answer

(b) V = ε – Ir

Explanation:

The circuit is :

Emf in a circuit

When current flows,

ε = V + Ir

∴ V = ε – Ir

Question 1 (x)

1 (x)CalorimetryEasy1 Mark

A metal piece of mass 5 g has thermal capacity 2.5 J K⁻¹. If the mass of the metal is tripled, then its specific heat capacity will be :

Answer

(d) 0.5 J g⁻¹ K⁻¹

Explanation:

As,

Specific heat capacity = \frac{\text{Thermal capacity}}{\text{mass}}

= \frac{2.5}{5} = 0.5 J g⁻¹ K⁻¹

Question 1 (xi)

1 (xi)SoundEasy1 Mark

Assertion (A) : As the level of water in a tall measuring cylinder kept under running tap rises, the pitch of sound gradually increases.

Reason (R) : Frequency of sound is inversely proportional to the length of the water column.

Answer

(c) (A) is true but (R) is false.

Explanation:

Assertion (A) is true because as the water column increases, air column decreases, frequency increases.

Reason (R) is false because the frequency is directly proportional to the length of water column.

Question 1 (xii)

1 (xii)Current ElectricityEasy1 Mark

In the given circuits Y and Z, the resistors, R₁ and R₂, are connected in :

In the given circuits Y and Z

(a) series in both the circuits

(b) parallel in both the circuits

(c) parallel in Y and series in Z

(d) series in Y and parallel in Z

Answer

(b) parallel in both the circuits

Explanation:

Circuit Y may be redrawn as :

Both the resistors are connected across points A and B. Hence, those are connected in parallel.

Circuit Z may be redrawn as :

Both the resistors are connected across points A and B. Hence, those are connected in parallel.

Question 1 (xiii)

1 (xiii)RadioactivityEasy1 Mark

A radioactive element P emits one α-particle and transforms to a new element Q. What will be the position of the element Q in the periodic table?

Answer

(d) Two groups to the left of P

Explanation:

The reaction is :

{}^{A}_{Z}\mathrm{P}\longrightarrow{}^{A-4}_{Z-2}\mathrm{Q}+{}^{4}_{2}\mathrm{He}

In periodic table elements are arranged in ascending order of atomic number and the atomic number of Q is 2 less than that of P. Hence, position of Q will 2 groups left of P.

Question 1 (xiv)

1 (xiv)CalorimetryEasy1 Mark

Each of the substances given below is supplied with same amount of heat. Which one will attain the highest temperature?

Substance Specific heat capacity (cal/g°C)
Lead 0.031
Aluminium 0.21
Copper 0.095
Iron 0.115
Answer

(d) Lead

Explanation:

The substance whose specific heat capacity is the lowest will attain the highest temperature.

Question 1 (xv)

1 (xv)Electro-magnetismEasy1 Mark

The following figure shows a small bar magnet falling freely through a copper ring. For the observer at A, the direction of the induced current will be :

Magnet passing through a copper ring

(a) clockwise when magnet is above and below the ring

(b) anticlockwise when magnet is above and below the ring

(c) anticlockwise when magnet is above the ring and clockwise when the magnet is below the ring

(d) clockwise when magnet is above the ring and anticlockwise when the magnet is below the ring

Answer

(c) anticlockwise when magnet is above the ring and clockwise when the magnet is below the ring

Explanation:

Magnet above the ring (approaching it)

  • Flux change — The north pole of the magnet faces the ring, so magnetic field lines enter the ring downwards. As the magnet falls closer, the downward flux through the ring increases.
  • Opposition required — To oppose this increase in downward flux, the ring must create an upward field (its own north pole must face the magnet).
  • Current direction — Using the right-hand rule, a coil whose top acts as a north pole carries anticlockwise current when viewed from above.

Result: Anticlockwise current while the magnet is above the ring.

Magnet inside and leaving the ring (moving away below it)

  • Flux change — Once the magnet has passed through, the same downward field lines are now moving away, so the downward flux decreases.
  • Opposition required — The ring tries to maintain the original flux by producing more downward field—i.e., its top must now behave like a south pole.
  • Current direction — A coil whose top is a south pole carries clockwise current when viewed from above.

Result: Clockwise current while the magnet is below the ring.

Question 2 (i)

2 (i)ForceEasy6 Marks

Complete the following by choosing the correct answers from the bracket:

(a) In uniform circular motion the centrifugal force acts …………… [towards the centre/away from the centre/along the tangential direction].

(b) Refractive index of a medium is independent of …………… [temperature/angle of incidence/wavelength of light].

(c) Heat absorbed during change of phase depends on …………… [mass/change in temperature/specific heat capacity] of the substance.

(d) Emf of a cell is …………… [greater than/less than/equal to] the terminal voltage when the cell is in open circuit.

(e) In a step-up transformer the turns ratio is …………… [more than 1/less than 1/equal to 1].

(f) The nuclear radiation with lowest ionising power is …………… [α/β/γ].

Answer

(a) In uniform circular motion the centrifugal force acts away from the centre.

(b) Refractive index of a medium is independent of angle of incidence.

(c) Heat absorbed during change of phase depends on mass of the substance.

(d) Emf of a cell is equal to the terminal voltage when the cell is in open circuit.

(e) In a step-up transformer the turns ratio is more than 1.

(f) The nuclear radiation with lowest ionising power is γ.

Question 2 (ii)

2 (ii)ForceEasy2 Marks

A non-uniform kite is hanging freely from the branch of a tree as shown. Study the figure and answer the following:

A non-uniform kite is hanging freely from the branch of a tree as shown. Study the figure and answer the following

(a) Fill in the blank.

…………… [P, Q, R or S] is the most probable position of its centre of gravity.

(b) Support your answer to (a) with a reason.

Answer

(a) R is the most probable position of its centre of gravity.

Explanation:

When a body is freely suspended from a point, it comes to rest (i.e. stops oscillating) in such a position that its centre of gravity lies vertically below the point of suspension. So, in the figure, the string from the branch passes vertically through point R, hence R is the most probable position of the kite’s centre of gravity.

Question 2 (iii)

2 (iii)SoundEasy2 Marks

The displacement–time graph of a sound wave produced by a vibrating wire is shown below.

displacement time graph of a sound wave produced by a vibrating wire

(a) How will you adjust the tension in the wire, to reduce the length of PR?

(b) Which characteristic of sound is affected by the reduction in the length of PR?

Answer

(a) As PR is the time period of the vibration and reduction of time period means the increase of frequency. Also, frequency is proportional to square root of the tension.

So, tension is to be increased to increase the frequency i.e., to reduce the time period.

(b) Since pitch depends on frequency, pitch will be affected by reduction of PR.

Question 3 (i)

3 (i)Refraction of Light at Plane SurfacesEasy2 Marks

A ray of light enters a rectangular glass slab submerged in water at an angle of incidence 55°. Does this ray undergo total internal reflection when it moves from water to glass? Justify your answer. (The critical angle for glass–water interface is 54°)

Answer

This ray will not undergo total internal reflection because for total internal reflection, the light ray should travel from denser to rarer medium but in the given situation light ray travels from rarer to denser medium since refractive index of glass is more than that of water. So, there will be no total internal reflection.

Question 3 (ii)

3 (ii)Household CircuitsEasy2 Marks

According to the NEW colour convention which colour of wire is connected to:

(a) the metal body of the appliance

(b) the switch of the appliance?

Answer

(a) Earth wire is connected to the metal body of electrical appliances and according to new convention the colour of earth wire is green or yellow.

(b) Live wire is connected to the switch of an appliance and according to new convention the colour of live wire is brown.

Question 3 (iii)

3 (iii)Electro-magnetismEasy2 Marks

(a) Which of the two, alternating current or direct current, produces a varying magnetic field when it flows through a conductor?

(b) State the frequency of the alternating current supply in India.

Answer

(a) Alternating current produces a varying magnetic field when it flows through a conductor because alternating current changes its magnitude as well as direction periodically and thus, it provides a varying current and hence varying magnetic field as magnetic field is directly proportional to the applied current.

(b) 50 Hz.

Question 3 (iv)

3 (iv)CalorimetryEasy2 Marks

Calculate the amount of heat absorbed by 200 g of paraffin wax to melt completely at its melting point.

[Specific latent heat of fusion of paraffin wax = 146 J g⁻¹]

Answer

Given, Mass of paraffin (m) = 200 g

Specific latent of paraffin (L) = 146 J g⁻¹

Let, required heat be Q.

Then,

Q = mL

= 200 × 146

= 29200 J

= 29.2 kJ

Question 3 (v)

3 (v)Electro-magnetismEasy2 Marks

Copper wire is wound around a steel bar FT. Current is allowed to pass through the coil for some time and then the bar is removed.

Solenoid

(a) Draw only the magnetised bar FT and mark its poles.

(b) Trace two magnetic lines of force around FT clearly indicating the direction.

Answer

(a) Since, looking from the F side current is flowing in anti-clockwise direction and hence, north pole developed at that end and south pole at the T end.

The labelled diagram is given below:

Bar magnet

(b) Two magnetic lines of force around FT clearly indicating the direction

Bar magnet with magnetic field

Question 3 (vi)

3 (vi)Current ElectricityEasy2 Marks

A current flows through a metallic conductor for a long period of time. State the change you would expect in its:

(a) Resistance

(b) Resistivity

Answer

(a) As current flows for a long period of time, heat is generated and temperature increases. So, the resistance of metallic wire increases as resistance is directly proportional to the temperature of a conductor.

(b) As temperature increases, resistivity of metallic wire increases.

Question 3 (vii)

3 (vii)RadioactivityEasy3 Marks

Curium is a radioactive element with the symbol {}^{247}_{96}\mathrm{Cm} named in honour of Madam Curie. The graph of number of protons vs number of neutrons for some elements is shown below:

The graph of number of protons vs number of neutrons

(a) Which point on the graph indicates the element Cm?

(b) Which point on the graph indicates daughter nucleus after Cm undergoes radioactive decay of 1α followed by 2β?

(c) State the mass number of the daughter nucleus.

Answer

(a) As Curium has 96 protons and 247 − 96 = 151 neutrons and point P represents 96 protons and 151 neutrons. Hence, point P indicates element Curium.

(b) After the radioactive decay of 1 α and 2 β particles, the atomic number and mass number of daughter nucleus will be 96 and 243 respectively. So, it will have 243 − 96 = 147 neutrons.

As point R represents 96 protons and 147 neutrons, point R indicates the daughter nucleus.

(c) Mass number of daughter nucleus = Mass number of Curium − Mass number of α particle = 247 − 4 = 243.

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Section B (40 Marks)

(Attempt any four questions)

Question 4 (i)

4 (i)Refraction of Light at Plane SurfacesEasy3 Marks

(a) Out of the three rays (I, J, H) shown in the diagram, which ray will suffer Total Internal Reflection while inside the prism? (Critical angle of the prism is 42°.)

which ray will suffer Total Internal Reflection while inside the prism

(b) Copy the diagram to complete the path of the ray which you have named in (a) till it comes out of the prism.

Answer

(a) From the diagram, it is visible that inside the prism, the angles of incidence of rays I, J and H are respectively 30°, 60° and 30°. Hence only the ray J will suffer total internal reflection.

From the above diagram it is visible that inside the prism the angles of incidence of rays I J and H

(b) Complete path

Copy the diagram to complete the path of the ray which you have named in (a) till it comes out of the prism

Question 4 (ii)

4 (ii)Easy3 Marks

A rectangular glass block of refractive index 1.5 has an air bubble trapped inside it as shown in the diagram. When seen from the surface AB, it appears to be 4 cm deep.

Glass block with air bubble

(a) Calculate the actual depth of the air bubble from the surface AB.

(b) For which colour of light, blue or yellow, the apparent depth will be greater?

(c) Turning the glass block upside down, DOES NOT change the apparent depth of the air bubble. State True or False.

Answer

(a) Given,

Refractive index of glass (μ) = 1.5

Apparent depth of air bubble = 4 cm

Refractive index of glass (μ) = \frac{ \text{Real depth of air bubble}}{ \text{Apparent depth of air bubble}}

Real depth of air bubble = 1.5 × 4 = 6 cm.

So, actual depth of the air bubble from the surface AB is 6 cm.

(b) Apparent depth will increase if refractive index decreases. As wavelength increases, refractive index decreases. The wavelength of yellow light is greater than that of blue light, so the apparent depth will be greater for yellow light.

(c) When the block is turned upside down,

the real depth of the bubble is 15 − 6 = 9 cm.

Apparent depth = 9 ÷ 1.5 = 6 cm.

So, the statement is False.

Question 4 (iii)

4 (iii)Refraction Through a LensEasy3 Marks

(a) An object is placed at 2F position of a convex lens. Draw a ray diagram showing the formation of the image.

(b) How will the size of the image change if we, ONLY replace the lens in the above arrangement with another lens of a greater focal length?

Answer

(a) Ray diagram showing the formation of the image when the object is placed at 2F position of a convex lens:

Ray diagram showing the formation of the image when the object is placed at 2F position of a convex lens

(b) If we ONLY replace the original lens with another lens of greater focal length then object distance (u), which was at 2F₁ earlier, now comes between F₁ and 2F₁.

When an object is placed between F₁ and 2F₁ of the convex lens, it produces a real, inverted and magnified image beyond 2F₂ behind the lens.

Hence, the size of the image increases.

Question 5 (i)

5 (i)Refraction Through a LensEasy3 Marks

An object is placed in front of a concave lens at a distance of 45 cm from it. If its image is formed at a distance of 30 cm from the lens, calculate the focal length of the lens.

Answer

Given,

Object distance (u) = −45 cm

Image distance (v) = −30 cm

From lens formula,

\frac{1}{\mathrm{f}}=\frac{1}{\mathrm{v}}-\frac{1}{\mathrm{u}}

or, \frac{1}{\mathrm{f}}=\frac{1}{-30}-\frac{1}{-45}

or, \frac{1}{\mathrm{f}}=-\frac{1}{30}+\frac{1}{45}=-\frac{1}{90}

or, f = − 90 cm

Question 5 (ii)

5 (ii)Refraction of Light at Plane SurfacesEasy4 Marks

Two rays PQ and RS are incident on a rectangular glass block as shown in the diagram. Observe the diagram and answer the questions that follow.

Two rays PQ and RS are incident on a rectangular glass block

Which of these two rays will:

(a) have greater lateral displacement on emerging out of the block?

(b) travel with greater speed in the block?

(c) scatter more in the atmosphere?

Answer

(a) Angle of incidence for both the rays being same, the directions of both the rays remain same. As the refracted ray corresponding to RS bends towards the normal more than that corresponding to ray PQ, the lateral displacement of the emergent ray corresponding to incident ray RS will also be more.

Two rays PQ and RS are incident on a rectangular glass block

Here, x₂ > x₁.

(b) Since the refracted ray corresponding to incident ray PQ bends less towards the normal, PQ travels with greater speed.

(c) The speed and wavelength corresponding to incident ray PQ are greater than those corresponding to incident ray RS. So, RS will scatter more in the atmosphere.

Question 5 (iii)

5 (iii)SpectrumEasy3 Marks

(a) Name the radiations:

(1) for which a quartz prism is used to study the spectrum.

(2) which are used in remote sensing devices.

(3) which are used in traffic signals in India.

(b) Name one property common to all electromagnetic radiations.

Answer

(a) (1) Ultraviolet radiation. A quartz prism is used since ordinary glass absorbs UV radiation.

(2) Infrared radiation.

(3) Visible light radiation (red, yellow and green).

(b) All electromagnetic radiations travel with the same speed, i.e. 3 × 10⁸ m s⁻¹ in vacuum.

Question 6 (i)

6 (i)ForceEasy3 Marks

Akash takes a uniform metre scale and suspends a weight of 2 N at one end ‘X’, and a weight of 5 N on the other end ‘Y’. He then balances the ruler horizontally on a knife edge placed at 70 cm from X. Draw a diagram of the arrangement and calculate the weight of the ruler.

Answer

The diagram of the arrangement is shown below.

Akash takes a uniform metre scale and suspends a weight of 2 N at one end

Given,

Weight at end X = 2 N

Weight at end Y = 5 N

Distance of X from the knife edge = 70 cm

Distance of Y from the knife edge = 100 − 70 = 30 cm

Let the weight of the scale be W. Its weight acts at the 50 cm mark, 20 cm from the knife edge.

For equilibrium,

Anticlockwise moment = Clockwise moment

2 × 70 + W × 20 = 5 × 30

140 + 20W = 150

20W = 10

W = 0.5 N

Therefore, the weight of the ruler is 0.5 N.

Question 6 (ii)

6 (ii)MachinesEasy3 Marks

Three levers X, Y and Z of equal lengths are shown in the diagram.

Three levers X Y Z of equal lengths are shown in the diagram

(a) Which class of lever do these belong to?

(b) Among these (X, Y or Z), which one will give the maximum mechanical advantage? Justify your answer.

Answer

(a) All are class I levers since the fulcrum is between the load and the effort.

(b) Mechanical advantage = \text{Effort arm} \over \text{Load arm}

For X, the effort arm is greater than the load arm. Hence, X has the maximum mechanical advantage.

Question 6 (iii)

6 (iii)Work, Energy and PowerEasy4 Marks

Richa weighing 40 kgf leaves point P on her skateboard and reaches point Q on the ground with velocity 10 m s⁻¹. Calculate:

Richa weighing 40 kgf leaves point P on her skateboard and reaches point Q on the ground

(a) the kinetic energy of Richa at point Q

(b) the vertical height of point P above the ground. (Use g as 10 m s⁻² and neglect friction.)

(c) the kinetic energy of Richa at point R. (While moving from Q to R, she loses 500 J of energy against friction.)

Answer

(a) Given, speed at Q (v) = 10 m s⁻¹

Kinetic energy at Q = \frac{1}{2} \times40 \times10^2 = 2000 J

(b) If the height of P is H, then potential energy at P = 40 × 10 × H = 400H.

As friction is negligible, total mechanical energy is conserved.

400H = 2000

H = 5 m

(c) Height of point R = 3 m and energy lost from Q to R = 500 J.

Potential energy at R = 40 × 10 × 3 = 1200 J.

Kinetic energy at R = 2000 − 1200 − 500 = 300 J.

Question 7 (i)

7 (i)MachinesEasy3 Marks

Draw a block and tackle system of pulleys with velocity ratio equal to 3.

Answer

The block and tackle system of pulleys with velocity ratio equal to 3 is shown below:

Draw a block and tackle system of pulleys with velocity ratio equal to 3

Question 7 (ii)

7 (ii)SoundEasy3 Marks

A submarine in the sea, sends an ultrasonic ping and a stopwatch is started simultaneously. The stopwatch stops on receiving the reflected wave from an obstacle and reads 1 minute 40 seconds. Calculate the distance of the obstacle from the submarine.

(Speed of sound in water = 1500 m s⁻¹)

Answer

Given,

Time taken = 1 minute 40 seconds = 100 s

Speed of sound = 1500 m s⁻¹

Distance of the obstacle = \frac{\text{Speed of sound}\times\text{Time taken}}{2}

= \frac{1500\times100}{2}

= 75,000 m

= 75 km

Question 7 (iii)

7 (iii)SoundEasy4 Marks

The diagrams given below show two sound boxes A and B with wires of the same length (l) and tension (10 kgf) but different cross-sectional areas. Simultaneously, vibrating tuning forks of frequency 300 Hz are placed on boxes A and B. The paper rider falls off in case of B but not in case of A.

Sonometer with paper rider

(a) Name and explain the phenomenon responsible for the falling off of the paper rider in B.

(b) The wire A resonates with a tuning fork of frequency ‘f’. Is ‘f’ greater than, less than or equal to 300 Hz? Justify your answer.

Answer

(a) The phenomenon is resonance. Resonance is a special case of forced vibrations. When the frequency of an externally applied periodic force equals the natural frequency of a body, the body vibrates with a large amplitude.

(b) The frequency f is less than 300 Hz. A thicker wire has greater mass per unit length and therefore a lower natural frequency when its length, tension and material remain unchanged.

Question 8 (i)

8 (i)Household CircuitsEasy3 Marks

The diagram shows wiring in a meter room of a building.

The diagram shows wiring in a meter room of a building

(a) What is the current rating of device X?

(b) What is the difference between switch Z shown in the diagram and the switches used to operate different appliances at home?

(c) What is the unit of the physical quantity displayed in Y?

Answer

(a) X is a company fuse or pole fuse. It does not have a fixed current rating; its rating depends on the load capacity of the connection.

(b) Z connects and disconnects the live and neutral lines simultaneously, whereas a switch used for a domestic appliance connects and disconnects only the live line.

(c) The unit is kWh.

Question 8 (ii)

8 (ii)RadioactivityEasy3 Marks

Study the reaction given below and answer the questions that follow:

Nuclear Fission

(a) Name the process depicted in the reaction.

(b) What is the value of X represented by the mass number of the intermediate uranium nucleus?

(c) Identify Y, the missing product of the reaction.

Answer

(a) Nuclear fission.

(b) X = 236.

(c) Conservation of mass number gives:

1 + 235 = 89 + 144 + 3y

236 = 233 + 3y, so y = 1.

Conservation of atomic number gives:

0 + 92 = 36 + 56 + z, so z = 0.

Therefore, Y has mass number 1 and atomic number 0. Hence, Y is a neutron.

Question 8 (iii)

8 (iii)Current ElectricityEasy4 Marks

Three identical bulbs B1, B2 and B3, each of power rating 18 W, 12 V, are connected to a battery of 12 V as shown.

Circuit containing bulbs B1, B2 and B3

(a) Calculate:

(i) the resistance of each bulb

(ii) the current drawn from the cell

(b) If bulb B3 is removed from the circuit, will the brightness of bulb B1 increase, decrease or remain the same?

Answer

Given,

Battery emf (ε) = 12 V

Voltage rating of each bulb (V) = 12 V

Power rating of each bulb (P) = 18 W

(a) 1. Let the resistance of each bulb be R.

Then, \mathrm{P}=\frac{\mathrm{V}^2}{\mathrm{R}}

⇒ \mathrm{R}=\frac{\mathrm{V}^2}{\mathrm{P}}=\frac{12^2}{18}=\frac{144}{18}

⇒ R = 8 Ω

2. Since B2 and B3 are connected in parallel:

\frac{1}{\mathrm{R_P}}=\frac{1}{\mathrm{R_1}}+\frac{1}{\mathrm{R_2}}

Here, R1 = R2 = 8 Ω

⇒ \frac{1}{\mathrm{R_P}}=\frac{1}{8}+\frac{1}{8}=\frac{2}{8}

⇒ RP = 4 Ω

This parallel combination is in series with B1.

Total resistance, RS = RP + R = 4 + 8 = 12 Ω

Therefore,

Current drawn = \frac{\text{Battery emf}}{\text{Total resistance}}=\frac{12}{12} = 1 A

Hence, the current drawn from the battery is 1 A.

(b) When B3 is removed, B1 and B2 remain in series.

Circuit with two bulbs

Equivalent resistance = 8 + 8 = 16 Ω

Since the resistance increases, the current in the circuit decreases.

Hence, the brightness of B1 decreases.

Question 9 (i)

9 (i)CalorimetryEasy3 Marks

30 g of ice at 0°C is used to bring down the temperature of a certain mass of water at 70°C to 20°C. Find the mass of water.

Specific heat capacity of water = 4.2 J g⁻¹ °C⁻¹ and specific latent heat of ice = 336 J g⁻¹.

Answer

Given, mass of ice = 30 g.

Heat gained by ice = heat required to melt the ice + heat required to raise the temperature of the melted ice to 20°C.

= 30 × 336 + 30 × 4.2 × 20

= 10080 + 2520 = 12600 J

Let the mass of water be m g.

Heat lost by water = m × 4.2 × (70 − 20) = 210m J

By the principle of calorimetry:

210m = 12600

m = 60 g

Therefore, the required mass of water is 60 g.

Question 9 (ii)

9 (ii)CalorimetryEasy3 Marks

(a) A certain amount of heat will warm 1 g of material X by 10°C and 1 g of material Y by 40°C. Which material has higher specific heat capacity?

(b) Which material, X or Y, would you select to make a calorimeter?

(c) The specific heat capacity of a substance remains the same when it changes its state from solid to liquid. State True or False.

Answer

(a) For the same heat supplied to equal masses:

Q = mcΔT

For X, Q = 1 × cX × 10 = 10cX.

For Y, Q = 1 × cY × 40 = 40cY.

Therefore, 10cX = 40cY, so cX = 4cY. Material X has the higher specific heat capacity.

(b) Material Y should be used to make a calorimeter because a calorimeter should have low specific heat capacity.

(c) False. Specific heat capacity generally changes with the physical state of a substance.

Question 9 (iii)

9 (iii)Electro-magnetismEasy4 Marks

A copper rod PQ carrying current is kept in a magnetic field as shown in the diagram.

Magnet and Copper wire

(a) The copper rod PQ will move towards C. State True or False.

(b) Name the law used to determine the direction of motion of PQ.

(c) What will be the effect on the force experienced if rod PQ is replaced by another copper rod of the same length but greater cross-sectional area?

(d) Justify your answer in (c).

Answer

(a) True. The magnetic field is directed downwards and the current is from left to right, so rod PQ experiences a force towards C.

(b) Fleming’s left-hand rule.

(c) The force experienced by the rod will increase.

(d) A rod with a greater cross-sectional area has lower resistance. Therefore, a larger current flows through it. Since magnetic force is directly proportional to current, the force increases.