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Maharashtra HSC Physics Board Paper March 2024 with Solutions

Written board papers. Physics and Chemistry: 70 marks, 3 hours. Mathematics & Statistics: 80 marks, 3 hours.

2024, March 180 minutes 70 marks Save WhatsApp

Sections

Section A : Q.1 Multiple choice questions (10 marks) 10 questions
Section A : Q.2 Very short answer questions (8 marks) 8 questions
Section B : Attempt any eight, Q.3 to Q.14 (16 marks) 12 questions
Section C : Attempt any eight, Q.15 to Q.26 (24 marks) 12 questions
Section D : Attempt any three, Q.27 to Q.31 (12 marks) 5 questions

About this paper

This is the Maharashtra State Board (MSBSHSE) HSC (Class 12) Science Physics (54) board paper of the February–March 2024 examination (Day 06). The paper code printed on the question paper is J-837. The questions are transcribed from the board’s own printed question paper as published on its website; figures and diagrams asked for are described in words. The answers are original answers written by Doubtly, not the board’s official model answers.

Paper pattern

Maximum marks 70, time 3 hours, four sections. Section A: Q.1 has ten MCQs (1 mark each) and Q.2 has eight very short answer questions (1 mark each), 18 marks, all compulsory. Section B: Q.3 to Q.14, twelve 2-mark questions, attempt any eight (16 marks). Section C: Q.15 to Q.26, twelve 3-mark questions, attempt any eight (24 marks). Section D: Q.27 to Q.31, five 4-mark questions, attempt any three (12 marks). Log tables are allowed, calculators are not. The physical constants printed on the paper include \(m_e = 9.1\times10^{-31}\) kg, \(\varepsilon_0 = 8.85\times10^{-12}\) C\(^2\)/N m\(^2\), \(\pi = 3.142\), \(e = 1.6\times10^{-19}\) C, \(\mu_0 = 4\pi\times10^{-7}\) Wb/A m, \(h = 6.63\times10^{-34}\) J s, \(c = 3\times10^8\) m/s, \(g = 9.8\) m/s\(^2\), \(R_H = 1.097\times10^7\) m\(^{-1}\) and \(\sigma = 5.67\times10^{-8}\) J m\(^{-2}\) s\(^{-1}\) K\(^{-4}\).

How to use it

Attempt the paper in one 3-hour sitting without a calculator, choosing questions the way the board allows (any eight in B and C, any three in D). Then compare with the answers: check the formula, the substitution with units and the final answer for each numerical, and the steps and labelled diagram for each derivation.

Chapters covered

Instructions

Solve on paper with a timer, then check against the solutions. Sections: A (MCQ and very short answers), B (short answers, attempt any 8 of 12), C (attempt any 8 of 12), D (long answers with choice).

Section A : Q.1 Multiple choice questions (10 marks)

  1. Q.1 (i) The moment of inertia (MI) of a disc of radius R and mass M about its central axis is _____.

    1. (A) \(\dfrac{MR^2}{4}\)
    2. (B) \(\dfrac{MR^2}{2}\)
    3. (C) \(MR^2\)
    4. (D) \(\dfrac{3MR^2}{2}\)
    1 mark See answer →

  2. Q.1 (ii) The dimensional formula of surface tension is _____.

    1. (A) \([L^{-1}M^{1}T^{-2}]\)
    2. (B) \([L^{2}M^{1}T^{-2}]\)
    3. (C) \([L^{1}M^{1}T^{-1}]\)
    4. (D) \([L^{0}M^{1}T^{-2}]\)
    1 mark See answer →

  3. Q.1 (iii) Phase difference between a node and an adjacent antinode in a stationary wave is _____.

    1. (A) \(\dfrac{\pi}{4}\) rad
    2. (B) \(\dfrac{\pi}{2}\) rad
    3. (C) \(\dfrac{3\pi}{4}\) rad
    4. (D) \(\pi\) rad
    1 mark See answer →

  4. Q.1 (iv) The work done in bringing a unit positive charge from infinity to a given point against the direction of electric field is known as _____.

    1. (A) electric flux
    2. (B) magnetic potential
    3. (C) electric potential
    4. (D) gravitational potential
    1 mark See answer →

  5. Q.1 (v) To convert a moving coil galvanometer into an ammeter we need to connect a _____.

    1. (A) small resistance in parallel with it
    2. (B) large resistance in series with it
    3. (C) small resistance in series with it
    4. (D) large resistance in parallel with it
    1 mark See answer →

  6. Q.1 (vi) If the frequency of incident light falling on a photosensitive material is doubled, then kinetic energy of the emitted photoelectron will be _____.

    1. (A) the same as its initial value
    2. (B) two times its initial value
    3. (C) more than two times its initial value
    4. (D) less than two times its initial value
    1 mark See answer →

  7. Q.1 (vii) In a cyclic process, if \(\Delta U\) = internal energy, W = work done, Q = Heat supplied then

    1. (A) \(\Delta U = Q\)
    2. (B) \(Q = 0\)
    3. (C) \(W = 0\)
    4. (D) \(W = Q\)
    1 mark See answer →

  8. Q.1 (viii) The current in a coil changes from 50A to 10A in 0.1 second. The self inductance of the coil is 20H. The induced e.m.f. in the coil is _____.

    1. (A) 800V
    2. (B) 6000V
    3. (C) 7000V
    4. (D) 8000V
    1 mark See answer →

  9. Q.1 (ix) The velocity of bob of a second's pendulum when it is 6 cm from its mean position and amplitude of 10 cm, is _____.

    1. (A) \(8\pi\) cm/s
    2. (B) \(6\pi\) cm/s
    3. (C) \(4\pi\) cm/s
    4. (D) \(2\pi\) cm/s
    1 mark See answer →

  10. Q.1 (x) In biprism experiment, the distance of 20th bright band from the central bright band is 1.2 cm. Without changing the experimental set-up, the distance of 30th bright band from the central bright band will be _____.

    1. (A) 0.6 cm
    2. (B) 0.8 cm
    3. (C) 1.2 cm
    4. (D) 1.8 cm
    1 mark See answer →

Section A : Q.2 Very short answer questions (8 marks)

  1. Q.2 (i) Define centripetal force.

    1 mark See answer →

  2. Q.2 (ii) Why a detergent powder is mixed with water to wash clothes?

    1 mark See answer →

  3. Q.2 (iii) What is the resistance of an ideal voltmeter?

    1 mark See answer →

  4. Q.2 (iv) Write the formula for torque acting on rotating current carrying coil in terms of magnetic dipole moment, in vector form.

    1 mark See answer →

  5. Q.2 (v) What is binding energy of a hydrogen atom?

    1 mark See answer →

  6. Q.2 (vi) What is surroundings in thermodynamics?

    1 mark See answer →

  7. Q.2 (vii) In a photoelectric experiment, the stopping potential is 1.5V. What is the maximum kinetic energy of a photoelectron?

    1 mark See answer →

  8. Q.2 (viii) Two capacitors of capacities 5µF and 10µF respectively are connected in series. Calculate the resultant capacity of the combination.

    1 mark See answer →

Section B : Attempt any eight, Q.3 to Q.14 (16 marks)

  1. Q.3 Explain the change in internal energy of a thermodynamic system (the gas) by heating it.

    2 marks See answer →

  2. Q.4 Explain the construction of a spherical wavefront by using Huygens' principle.

    2 marks See answer →

  3. Q.5 Define magnetization. State its SI unit and dimensions.

    2 marks See answer →

  4. Q.6 Obtain the differential equation of linear simple harmonic motion.

    2 marks See answer →

  5. Q.7 A galvanometer has a resistance of 30 Ω and its full scale deflection current is 20 microampere (µA). What resistance should be added to it to have a range 0-10 volt?

    2 marks See answer →

  6. Q.8 Explain Biot-Savart law.

    2 marks See answer →

  7. Q.9 What is a Light Emitting Diode? Draw its circuit symbol.

    2 marks See answer →

  8. Q.10 An aircraft of wing span of 60 m flies horizontally in earth's magnetic field of \(6\times10^{-5}\) T at a speed of 500 m/s. Calculate the e.m.f. induced between the tips of wings of aircraft.

    2 marks See answer →

  9. Q.11 Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.

    2 marks See answer →

  10. Q.12 A horizontal force of 0.5N is required to move a metal plate of area \(10^{-2}\,\text{m}^2\) with a velocity of \(3\times10^{-2}\) m/s, when it rests on \(0.5\times10^{-3}\) m thick layer of glycerin. Find the coefficient of viscosity of glycerin.

    2 marks See answer →

  11. Q.13 Two tuning forks having frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 340 m/s. Find the difference in wavelength of these waves.

    2 marks See answer →

  12. Q.14 Calculate the change in angular momentum of electron when it jumps from third orbit to first orbit in hydrogen atom.

    2 marks See answer →

Section C : Attempt any eight, Q.15 to Q.26 (24 marks)

  1. Q.15 A circular coil of wire is made up of 200 turns, each of radius 10 cm. If a current of 0.5A passes through it, what will be the magnetic field at the centre of the coil?

    3 marks See answer →

  2. Q.16 Define photoelectric effect and explain the experimental set-up of photoelectric effect.

    3 marks See answer →

  3. Q.17 Define the current gain \(\alpha_{DC}\) and \(\beta_{DC}\) for a transistor. Obtain the relation between them.

    3 marks See answer →

  4. Q.18 Define surface energy of the liquid. Obtain the relation between the surface energy and surface tension.

    3 marks See answer →

  5. Q.19 What is an isothermal process? Obtain an expression for work done by a gas in an isothermal process.

    3 marks See answer →

  6. Q.20 Derive an expression for equation of stationary wave on a stretched string. Show that the distance between two successive nodes or antinodes is \(\lambda/2\).

    3 marks See answer →

  7. Q.21 Derive an expression for the impedance of an LCR circuit connected to an AC power supply. Draw phasor diagram.

    3 marks See answer →

  8. Q.22 Calculate the wavelength of the first two lines in Balmer series of hydrogen atom.

    3 marks See answer →

  9. Q.23 A current carrying toroid winding is internally filled with lithium having susceptibility \(\chi = 2.1\times10^{-5}\). What is the percentage increase in the magnetic field in the presence of lithium over that without it?

    3 marks See answer →

  10. Q.24 The radius of a circular track is 200 m. Find the angle of banking of the track, if the maximum speed at which a car can be driven safely along it is 25 m/sec.

    3 marks See answer →

  11. Q.25 Prove the Mayer's relation : \(C_p - C_v = \dfrac{R}{J}\)

    3 marks See answer →

  12. Q.26 An alternating voltage is given by \(e = 8\sin 628.4t\). Find
    (i) peak value of e.m.f.
    (ii) frequency of e.m.f.
    (iii) instantaneous value of e.m.f. at time t = 10 ms.

    3 marks See answer →

Section D : Attempt any three, Q.27 to Q.31 (12 marks)

  1. Q.27 What is a transformer? Explain construction and working of a transformer. Derive the equation for a transformer.

    4 marks See answer →

  2. Q.28 Using the geometry of the double slit experiment, derive the expression for fringe width of interference bands.

    4 marks See answer →

  3. Q.29 Distinguish between an ammeter and a voltmeter. (Two points each).

    The displacement of a particle performing simple harmonic motion is \(\dfrac{1}{3}\)rd of its amplitude. What fraction of total energy will be its kinetic energy?

    4 marks See answer →

  4. Q.30 Draw a neat labelled diagram of Ferry's perfectly black body.

    Compare the rms speed of hydrogen molecules at 227ºC with rms speed of oxygen molecule at 127ºC. Given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.

    4 marks See answer →

  5. Q.31 Derive an expression for energy stored in a charged capacitor.

    A spherical metal ball of radius 15 cm carries a charge of 2µC. Calculate the electric field at a distance of 20 cm from the center of the sphere.

    4 marks See answer →