ISC Physical science 2017

ISC Paper 2017

Physics

Maximum Marks: 70

Time allowed: Three hours

• Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time
• Answer all questions in Part I and ten questions from Part 11, choosing four questions from
• Section A, three questions from Section B and three questions from Section C.
• All working, including rough work, should be done on the same sheet as, and adjacent to, the rest of the answer.
• The intended marks for questions or parts of questions are given in brackets [ ].
• Material to be supplied: Long tables including Trigonometric functions.
• A list of useful physical constants is given at the end of this paper.

Part – I (20 Marks)

(Answer all questions)

Question 1.

(a) Choose the correct alternative (a), (b), (c) or (d) for each of the questions given below: [5]

(i) The electrostatic potential energy of two point charges, 1 μC each, placed 1 metre apart in air is :

(a) 9 x 10³ J

(b) P x 10⁹ J

(c) 9 x 10^-3J

(d) 9 x 10^-3 eV

Solution

(ii) A wire of resistance R ’ is cut into ‘n ’ equal parts. These parts are then connected in parallel with each other. The equivalent resistance of the combination is :

(a) nR

(b) R/n

(c) n/R²

(d) R/n²

Solution

(iii) Magnetic susceptibility of platinum is 0.0001. Its relative permeability is :

(a) 1.0000

(b) 0.9999

(c) 1.0001

(d) 0

Solution

(iv) When a light wave travels from air to glass :

(a) its wavelength decreases

(b) its wavelength increases

(c) there is no change in wavelength

(d) its frequency decreases.

Solution

(v) A radioactive substance decays to 1/16th of its initial mass in 40 days. The half life of the substance, in days, is:

(a) 20

(b) 10

(c) 5

(d) 2.5

Solution

B. Answer all questions given below briefly and to the point: [15]

(i) Maximum torque acting on the electric dipole of moment 3 × 10^-29 Cm in a uniform electric field E is 6 × 10^-25 Nm. Find E.

Solution

(ii) What is meant by drift speed of free electrons ?

Solution

(iii) On which conservation principle is Kirchhoff’s Second Law of electrical networks based ?

Solution

(iv) Calculate magnetic flux density of the magnetic field at the center of a circular coil of 50 turns, having radius of 0.5 m and carrying a current of 5 A. .

Solution

(v) An a.c. generator generates an emf ‘s’ where e = 314 Sin (50 πt) volt. Calculate the frequency of the emf ∈.

Solution

(vi) With what type of source of light are cylindrical wave fronts associated ?

Solution

(vii) How is fringe width of an interference pattern in Young’s double slit experiment affected if the two slits are brought closer to each other ?

Solution

(viii) In a regular prism, what is the relation between angle of incidence and angle of emergence when it is in the minimum deviation position ?

Solution

(ix) A converging lens of focal length 40 cm is kept in contact with a diverging lens of focal length 30 cm. Find the focal length of the combination.

Solution

(x) How can the spherical aberration produced by a lens be minimised ?

Solution

(xi) Calculate the momentum of a photon of energy 6 x 10^-19 J.

Solution

(xii) According to Bohr, Angular momentum of an orbiting electron is quantised. ’ What is meant by this statement ?

Solution

(xiii) Why nuclear fusion reaction is also called thermo-nuclear reaction ?

Solution

(xiv) What is the minimum energy which a gamma ray photon must possess in order to produce electron-positron pair ?

Solution

(xv) Show the variation of voltage with time, for a digital signal.

Solution

Part – II (20 Marks)

Answer ten questions in this part, choosing four questions from Section A, three questions from Section B and three questions from Section C

Section-A

(Answer any four questions)

Question 2.

(a) Show that electric potential at a point P, at a distance ‘r’ from a fixed point charge Q, is given by: [4]

Solution

(b) Intensity of electric field at a perpendicular distance of 0.5 m from an infinitely long line charge having linear charge density (X) is 3.6 x 10³ Vm^-1 . Find the value of λ . [1]

Solution

Question 3.

(a) Three capacitors C₁= 3 μF, C₂= 6 μF and C₃= 10 μF are connected to a 50 V battery as shown in the Figure 1 below : [3]

Calculate :

(i) The equivalent capacitance of the circuit between points A and B.

(ii) The charge on C₁

Solution

(b) Two resistors R₁= 60 Ω and R₂=90 Ω are connected in parallel. If electric power consumed by the resistor R₁ is 15 W, calculate the power consumed by the resistor R₂. [2]

Solution

Question 4.

(a) Figure 2 below shows two resistors R₁ and R₂ connected to a battery having an emf of 40 V and negligible internal resistance. A voltmeter having a resistance of 300 Ω is used to measure potential difference across R₁. Find the reading of the voltmeter. [3]

Solution

(b) A moving coil galvanometer has a coil of resistance 59 Ω. It shows a full scale deflection for a current of 50 mA. How will you convert it to an ammeter having a range of 0 to 3A ? [2]

Solution

Question 5.

(a) In a meter bridge circuit, resistance in the left hand gap is 2 Ω and an unknown resistance X is in the right hand gap as shown in Figure 3 below. The null point is found to be 40 cm from the left end of the wire. What resistance should be connected to X so that the new null point is 50 cm from the left end of the wire?

Solution

b) The horizontal component of earth’s magnetic field at a place is 1/√3 times the vertical component. Determine the angle of dip at that place.

Solution

Question 6.

(a) Using Ampere’s circuital law, obtain an expression for the magnetic flux density ‘B’ at a point X’ at a perpendicular distance ‘r from a long current carrying conductor. (Statement of the law is not required). [3]

Solution

(b) PQ is a long straight conductor carrying a current of 3A as shown in Figure 4 below. An electron moves with a velocity of 2 × 10⁷ ms^-1 parallel to it. Find the force acting on the electron.

Solution

Question 7.

(a) (i) AB and CD are two parallel conductors kept 1 m apart and connected by a resistance R of 6 Ω as shown in Figure 5 below. They are placed in a magnetic field B =3 × 10^-2 T which is perpendicular to the plane of the conductors and directed into the paper. A wire MN is placed over AB and CD and then made to slide with a velocity 2 ms^-1 . (Neglect the resistance of AB, CD. and MN). [3]

Calculate the induced current flowing through the resistor R.

(ii) In an ideal transformer, an output of 66 kV is required when an input voltage of 220 V is available. If the primary has 300 turns, how many turns should the secondary have ?

Solution

(b) In a series LCR circuit, obtain an expression for the resonant frequency. [2]

Solution

Section – B

(Answer any three questions)

Question 8.

(a) (i) State any one property which is common to all electromagnetic waves. [3]

(ii) Arrange the following electromagnetic waves in increasing order of their frequencies (i.e., begin with the lowest frequency) :

Visible light, γ-rays, X-rays, microwaves, radio waves, infrared radiations and ultraviolet radiations.

Solution

(b) (i) What is meant by diffraction of light ? [2]

(ii) In Fraunhofer diffraction, what kind of source of light is used and where is it situated?

Solution

Question 9.

(a) In Young’s double slit experiment using monochromatic light of wavelength 600 nm, 5th bright fringe is at a distance of 0.48 mm from the center of the pattern. If the screen is at a distance of 80 cm from the plane of the two slits, calculate : [3]

(i) Distance between the two slits.

(ii) Fringe width i.e., fringe separation.

Solution

(b) (i) State Brewster’s law.

(ii) Find Brewster’s [2]

Solution

Question 10.

(a) Find critical angle for glass and water pair, given refractive index of glass is 1.62 and that of water is 1.33. [2]

Solution

(b) Starting with an expression for refraction at a single spherical surface, obtain Lens Maker’s Formula. [3]

Solution

Question 11.

(a) A compound microscope consists of two convex lenses of focal length 2 cm and 5cm. When an object is kept at a distance of 2.1 cm from the objective, a virtual and magnified image is formed 25 cm from the eye piece. Calculate the magnifying power of the microscope. [3]

Solution

(b) (i) What is meant by resolving power of a telescope ?

(ii) State any one method of increasing the resolving power of an astronomical telescope. [2]

Solution

Section – C

(Answer any three questions)

Question 12.

(a) (i) Plot a labelled graph of /V_s/ where V_s is stopping potential versus frequency f of the incident radiation.

(ii) State how will you use this graph to determine the value of Planck’s constant. [3]

Solution

(b) (i) Find the de Broglie wavelength of electrons moving with a speed of 7 x 10⁶ ms^-1 . [2]

(ii) Describe in brief what is observed when moving electrons are allowed to fall on a thin graphite film and the emergent beam falls on a fluorescent screen.

Solution

Question 13.

(a) Draw energy level diagram for hydrogen atom, showing first four energy levels corresponding to n = 1, 2, 3 and 4. Show transitions responsible for : [3]

(i) Absorption spectrum of Lyman series.

(ii) Emission spectrum of Balmer series.

Solution

(b) (i) Find maximum frequency of X-rays produced by an X-ray tube operating at a tube potential of 66 kV. [2]

(ii) State any one difference between characteristic X-rays and continuous X-rays.

Solution

Question 14.

(a) Obtain a relation between half life of a radioactive substance and decay constant (λ). [2]

Solution

(b) Calculate mass defect and binding energy per nucleon of, {_{10}^{20}Ne} given [3]

Solution

Question 15.

(a) With reference to a semiconductor diode, what is meant by :

(i) Forward bias

(ii) Reverse bias

(iii) Depletion region

Solution

(b) Draw a diagram to show how NAND gates can be combined to obtain an OR gate (Truth table is not required). [2]

Solution