Maharashtra HSC Class 12 Physics July 2024 question paper with answers

Section A

1 mark each

Q.1 (i)1 mark $Atoms having the same number of protons but different number of neutrons are called ____.$
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Q.1 (ii)1 mark $The molecules on the surface of liquid have ____$
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Q.1 (iii)1 mark $If coefficient of emission is 'e' for a perfectly black body and coefficient of transmission is 't' then ____.$
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Q.1 (iv)1 mark $An LED emits light when its ____$
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Q.1 (v)1 mark $\alpha$
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Q.1 (vi)1 mark $Cyclotron is used to accelerate ____.$
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Q.1 (vii)1 mark $The unit henry is equal to ____.$
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Q.1 (viii)1 mark $The ratio of emissive power of a perfect black body at 927ºC and 327ºC is ____.$
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Q.1 (ix)1 mark $In a series LCR circuit the phase difference between the voltage and the current is 45º. Then the power factor will be ____.$
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Q.1 (x)1 mark $When an air column in a pipe closed at one end vibrates such that two nodes are formed in it, the frequency of its vibrations is ____.$
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Answer the following questions :
Q.2 (i)1 mark $What is the radius of gyration of a solid sphere of radius R about its diameter?$
Q.2 (ii)1 mark $Write the differential equation for linear S.H.M.$
Q.2 (iii)1 mark $State any one method of polarization of light.$
Q.2 (iv)1 mark $What is the resistance of an ideal voltmeter?$
Q.2 (v)1 mark $What are eddy currents?$
Q.2 (vi)1 mark $What do you mean by logic gate?$
Q.2 (vii)1 mark $A body of mass 0.2 kg performs linear S.H.M. It experiences a restoring force of 0.4N when its displacement from the mean position is 8 cm. Determine force constant.$
Q.2 (viii)1 mark $5\mu C$

Section B

2 marks each · attempt any 8

Q.32 marks $Show that average energy per molecule is directly proportional to the absolute temperature 'T' of the gas.$
Q.42 marks $Explain cyclic process with the help of neat and labelled p-V diagram.$
Q.52 marks $Distinguish between progressive waves and stationary waves.$
Q.62 marks $Explain Biot and Savart's law with suitable diagram.$
Q.72 marks $Draw a neat and labelled diagram of van de Graaf generator.$
Q.82 marks $State the formula for the following : (a) Average power in LCR circuit (b) Q-factor$
Q.92 marks $Explain the working of a transformer with a neat, labelled diagram.$
Q.102 marks $100\Omega$
Q.112 marks $10^{-8}$
Q.122 marks $20\ \text{rad/s}^{2}$
Q.132 marks $500\ \text{gcm}^{2}$
Q.142 marks $A telescope has an objective of diameter 2.5m. What is its angular resolution when observed at 7500Å ?$

Section C

3 marks each · attempt any 8

Q.153 marks $Define surface tension. Obtain the relation between surface tension and surface energy.$
Q.163 marks $Show that all harmonics are present in case of a stretched string.$
Q.173 marks $Derive an expression for the impedance of a series LCR circuit connected to an AC power supply.$
Q.183 marks $What is Curie temperature? Distinguish between diamagnetic and paramagnetic substances.$
Q.193 marks $Obtain the balancing conditions in case of Wheatstone's bridge.$
Q.203 marks $What is ionization energy? Assuming expression for energy of electron, derive an expression for wavelength of spectral lines in hydrogen atom.$
Q.213 marks $What is voltage regulation? Explain the working of Zener diode as a voltage regulator.$
Q.223 marks $0.9013\ \text{g/cm}^{3}$
Q.233 marks $1.5\ \text{cm}^{2}$
Q.243 marks $At what distance from the mean position is the kinetic energy of a particle performing S.H.M. of amplitude 10 cm, three times its potential energy?$
Q.253 marks $2 \times 10^{10}$
Q.263 marks $6 \times 10^{-6}$

Section D

4 marks each · attempt any 3

Q.274 marks $Derive an expression for minimum speed to perform stunts in well of death. Part of a racing track is to be designed for a radius of curvature of 288 m. We are not recommending the vehicles to drive faster than 216 km/hr. With what angle should the road be tilted?$
Q.284 marks $Explain the concept of positive and negative work with varying pressure. Draw corresponding p-V diagrams.$
Q.294 marks $1.013 \times 10^{5}\ \text{N/m}^{2}$
Q.304 marks $What is photoelectric effect? Describe with neat circuit diagram an experimental setup of photoelectric effect.$
Q.314 marks $Derive the formula for Brewster's angle. Green light of wavelength 5100Å from a narrow slit is incident on a double slit. If the overall separation of 10 fringes on a screen 2 m away is 2 cm, find the slit separation.$