Maharashtra HSC Physics Board Paper July 2024 with Solutions

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

2024, July 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 July 2024 supplementary examination (Day 04). The paper code printed on the question paper is J-129. The questions are transcribed in full from the board’s own printed question paper, as published on the board’s official 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 are \(g = 9.8\) m/s\(^2\), \(\pi = 3.142\), \(\mu_0 = 4\pi\times10^{-7}\) Wb/A m and \(e = 1.6\times10^{-19}\) C.

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 model answers: check the formula, the substitution with units and the final answer for each numerical, and the steps and labelled diagram for each derivation.

FAQs

Is this the official board paper?

Yes, the questions are from the board’s July 2024 Physics paper (J-129). The solutions are Doubtly’s own model answers; the board does not publish a full answer key.

How many questions must I answer in Section D?

Any three of the five 4-mark questions (Q.27 to Q.31), for 12 marks.

Why is the banking angle in Q.27 about 51.9°?

The speed 216 km/h is 60 m/s, so \(\tan\theta = v^2/rg = 3600/(288\times9.8) \approx 1.276\), using the value \(g = 9.8\) m/s\(^2\) printed on the paper. With \(g = 10\) m/s\(^2\) the angle would come out as about 51.3°.

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)

Q.1 (i) Atoms having the same number of protons but different number of neutrons are called ____.
1. (A) isotopes
2. (B) isobars
3. (C) isotones
4. (D) isomers
1 mark See answer →
Q.1 (ii) The molecules on the surface of liquid have ____
1. (A) minimum kinetic energy.
2. (B) minimum potential energy.
3. (C) maximum kinetic energy.
4. (D) maximum potential energy.
1 mark See answer →
Q.1 (iii) If coefficient of emission is ‘e’ for a perfectly black body and coefficient of transmission is ‘t’ then ____.
1. (A) e = 0, t = 1
2. (B) e = 1, t = 1
3. (C) e = 0, t = 0
4. (D) e = 1, t = 0
1 mark See answer →
Q.1 (iv) An LED emits light when its ____
1. (A) junction is reverse biased.
2. (B) depletion region widens.
3. (C) holes and electrons recombine.
4. (D) junction becomes hot.
1 mark See answer →
Q.1 (v) An electron, a proton, an α-particle and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be the longest for ____.
1. (A) electron
2. (B) proton
3. (C) α-particle
4. (D) hydrogen atom
1 mark See answer →
Q.1 (vi) Cyclotron is used to accelerate ____.
1. (A) neutral particles
2. (B) negatively charged particles
3. (C) positively charged particles
4. (D) all types of particles
1 mark See answer →
Q.1 (vii) The unit henry is equal to ____.
1. (A) watt
2. (B) ohm-second
3. (C) dyne
4. (D) Wb/m²
1 mark See answer →
Q.1 (viii) The ratio of emissive power of a perfect black body at 927ºC and 327ºC is ____.
1. (A) 2 : 1
2. (B) 4 : 1
3. (C) 8 : 1
4. (D) 16 : 1
1 mark See answer →
Q.1 (ix) In a series LCR circuit the phase difference between the voltage and the current is 45º. Then the power factor will be ____.
1. (A) 0.6071
2. (B) 0.7071
3. (C) 0.8081
4. (D) 1.0
1 mark See answer →
Q.1 (x) When an air column in a pipe closed at one end vibrates such that two nodes are formed in it, the frequency of its vibrations is ____.
1. (A) two times the fundamental frequency
2. (B) three times the fundamental frequency
3. (C) four times the fundamental frequency
4. (D) five times the fundamental frequency
1 mark See answer →

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

Q.2 (i) What is the radius of gyration of a solid sphere of radius R about its diameter?

1 mark See answer →
Q.2 (ii) Write the differential equation for linear S.H.M.

1 mark See answer →
Q.2 (iii) State any one method of polarization of light.

1 mark See answer →
Q.2 (iv) What is the resistance of an ideal voltmeter?

1 mark See answer →
Q.2 (v) What are eddy currents?

1 mark See answer →
Q.2 (vi) What do you mean by logic gate?

1 mark See answer →
Q.2 (vii) A body of mass 0.2 kg performs linear S.H.M. It experiences a restoring force of 0.4N when its displacement from the mean position is 8 cm. Determine force constant.

1 mark See answer →
Q.2 (viii) Determine the work done in bringing a charge of 5µC from infinity to the point A. The potential at point A is 400 kV.

1 mark See answer →

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

Q.3 Show that average energy per molecule is directly proportional to the absolute temperature ‘T’ of the gas.

2 marks See answer →
Q.4 Explain cyclic process with the help of neat and labelled p-V diagram.

2 marks See answer →
Q.5 Distinguish between progressive waves and stationary waves.

2 marks See answer →
Q.6 Explain Biot and Savart’s law with suitable diagram.

2 marks See answer →
Q.7 Draw a neat and labelled diagram of van de Graaf generator.

2 marks See answer →
Q.8 State the formula for the following :
(a) Average power in LCR circuit
(b) Q-factor

2 marks See answer →
Q.9 Explain the working of a transformer with a neat, labelled diagram.

2 marks See answer →
Q.10 A galvanometer has a resistance of 100 Ω and its full scale deflection current is 0.2 mA, what resistance should be added to it to have a range of 0-10V?

2 marks See answer →
Q.11 An electron in hydrogen atom stays in its second orbit for 10^–8 s. How many revolutions will it make around the nucleus in that time?
[ Velocity of electron in second orbit = 1.07 × 10⁶ m/s, radius of electron in second orbit = 2.14 × 10^–10 m]

2 marks See answer →
Q.12 A torque of magnitude 400 Nm acting on a body of mass 40 kg produces an angular acceleration of 20 rad/s². Calculate the moment of inertia of the body.

2 marks See answer →
Q.13 A bar magnet of moment of inertia of 500 gcm² oscillates with a time period of 3.142 seconds in a horizontal plane. What is its magnetic moment if the horizontal component of earth’s magnetic field is 4 × 10^–5 T ?

2 marks See answer →
Q.14 A telescope has an objective of diameter 2.5m. What is its angular resolution when observed at 7500Å ?

2 marks See answer →

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

Q.15 Define surface tension. Obtain the relation between surface tension and surface energy.

3 marks See answer →
Q.16 Show that all harmonics are present in case of a stretched string.

3 marks See answer →
Q.17 Derive an expression for the impedance of a series LCR circuit connected to an AC power supply.

3 marks See answer →
Q.18 What is Curie temperature? Distinguish between diamagnetic and paramagnetic substances.

3 marks See answer →
Q.19 Obtain the balancing conditions in case of Wheatstone’s bridge.

3 marks See answer →
Q.20 What is ionization energy? Assuming expression for energy of electron, derive an expression for wavelength of spectral lines in hydrogen atom.

3 marks See answer →
Q.21 What is voltage regulation? Explain the working of Zener diode as a voltage regulator.

3 marks See answer →
Q.22 A spherical drop of oil falls at a constant speed of 9.8 cm/s in steady air. Calculate the radius of the drop. The density of oil is 0.9013 g/cm³, density of air is 0.0013 g/cm³ and the coefficient of viscosity of air is 1.8 × 10^–4 poise.

3 marks See answer →
Q.23 A search coil having 2000 turns with area 1.5 cm² is placed in a magnetic field of 0.6T. The coil is moved rapidly out of the field in a time of 0.2 second. Calculate the induced emf across the search coil.

3 marks See answer →
Q.24 At what distance from the mean position is the kinetic energy of a particle performing S.H.M. of amplitude 10 cm, three times its potential energy?

3 marks See answer →
Q.25 When 2 × 10¹⁰ electrons are transferred from one conductor to another, a potential difference of 20V appears between the conductors. Find the capacitance of the two conductors.

3 marks See answer →
Q.26 The magnetic field at the centre of a circular current carrying loop of radius 12 cm is 6 × 10^–6 T. What will be the magnetic moment of the loop?

3 marks See answer →

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

Q.27
Derive an expression for minimum speed to perform stunts in well of death.
Part of a racing track is to be designed for a radius of curvature of 288 m. We are not recommending the vehicles to drive faster than 216 km/hr. With what angle should the road be tilted?

4 marks See answer →
Q.28
Explain the concept of positive and negative work with varying pressure. Draw corresponding p-V diagrams.

4 marks See answer →
Q.29
Deduce an expression for molar specific heat of a monoatomic gas at constant volume.
Find kinetic energy of 4000 cc of a gas at S.T.P.
[ Given : Standard pressure is 1.013 × 10⁵ N/m² ]

4 marks See answer →
Q.30
What is photoelectric effect?
Describe with neat circuit diagram an experimental setup of photoelectric effect.

4 marks See answer →
Q.31
Derive the formula for Brewster’s angle.
Green light of wavelength 5100Å from a narrow slit is incident on a double slit. If the overall separation of 10 fringes on a screen 2 m away is 2 cm, find the slit separation.

4 marks See answer →