Maharashtra 12th Std Model Question Paper Physics

Maharashtra State Board Sample Paper 2026

DAY — 04 SEAT NUMBER

2025 VI 28 1100 (E)
J-339
PHYSICS (54)

Time : 3 Hrs. ( 8 Pages ) Max. Marks : 70

General Instructions :
The question paper is divided into four sections :
(1) Section A : Q. No. 1 contains Ten multiple choice type
of questions carrying One mark each.
Q. No. 2 contains Eight very short answer
type of questions carrying One mark each.
(2) Section B : Q. No. 3 to Q. No. 14 contain Twelve short
answer type of questions carrying Two marks
each. (Attempt any Eight).
(3) Section C : Q. No. 15 to Q. No. 26 contain Twelve short
answer type of questions carrying Three
marks each. (Attempt any Eight).
(4) Section D : Q. No. 27 to Q. No. 31 contain Five long
answer type of questions carrying Four
marks each.(Attempt any Three).
(5) Use of the log table is allowed. Use of calculator is not allowed.
(6) Figures to the right indicate full marks.
(7) For multiple choice type questions, only the first attempt will
be considered for evaluation.

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(8) Physical Constants :

(i) h = 6.63 × 10–34 Js

(ii) c = 3 × 108 m/s

(iii) S = 3.142

(iv) g = 9.8 m/s2

(v) H0= 8.85 × 10–12 C2/Nm2

(vi) µ0 = 4S ×10–7 Wb/Am

(vii) mass of electron me = 9.11 × 10–31 kg

(viii) mass of proton mp = 1.672 × 10–27 kg

(ix) Stefan’s constant, V = 5.67 × 10–8 Jm–2s–1k–4

(x) Rydberg’s constant, RH = 1.097 × 107m–1

SECTION – A

Q. 1. Select and write the correct answers for the following
multiple choice type of questions : [10]

(i) For which of the following bodies, the principle of
perpendicular axes is applicable?
(a) Spherical (b) Conical
(c) Cylindrical (d) Laminar

(ii) Which of the following equation represents a simple
harmonic progressive wave travelling along the
negative X-direction?
(a) Y = a sin (kx–Zt)
(b) Y = a sin (kx+Zt)
(c) Y = a sin (ky–Zt)
(d) Y = a sin (ky+Zt)

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(iii) In a cyclotron final kinetic energy of a particle
revolving in a circular path of radius ‘R’exit is :
(a) K.E.

(b) K.E. exit
1
(c)
exit

1
(d) 2
R exit

(iv) For which of the following metals, photoelectric effect
is possible for visible radiation?
(a) Zinc (b) Cadmium
(c) Magnesium (d) Sodium

(v) The gyromagnetic ratio of electron is _______.

2me 2me
(a) (b)
e e2

e e2
(c) (d)
2me 2me

(vi) Two capillary tubes of radii 0.3 cm and 0.6 cm are
dipped in the same liquid, the ratio of heights to which
the liquid will rise in the tubes is _____.
(a) 1:2 (b) 2:1
(c) 1:4 (d) 4:1

(vii) Kirchhoff ’s Voltage Law applied to a loop deals with
the conservation of _____.
(a) momentum (b) mass
(c) energy (d) charge

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(viii) How many times the intensity of an unpolarized light
wave reduces after passing through a polarizer?
1 1
(a) (b)
2 4
1 1
(c) (d)
6 8
(ix) If pressure of gas contained in a closed vessel is
increased by 0.4% when heated by 1°C, its initial
temperature must be _____.
(a) 200°C (b) 250°C
(c) 300°C (d) 350°C

(x) The wavelength and power of the incident light is
4000 Å and 0.1W respectively. The number of incident
photons is _____.
(a) 2.011 × 1017 (b) 3.011 × 1017
(c) 4.011 × 1017 (d) 5.011 × 1017

Q. 2. Answer the following questions : [8]

(i) What is the velocity of a particle performing linear
SHM, at extreme position?

(ii) What happens to the ferromagnetic substance when it
is heated above Curie temperature?

(iii) What is the coefficient of transmission for athermanous
materials?

(iv) In a photodiode, on which property the dark current
depends?

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(v) Define mutual inductance.

(vi) What is magnetization?

(vii) A metal ring of radius 20 cm is rotating about a
transverse axis passing through its centre. What will
be its radius of gyration about the same axis?

(viii) In a hydraulic lift, area of pistons are A1 and A2
respectively (A2 >> A1). If force F1 is applied on
piston 1, then what is the force exerted on piston 2?

SECTION – B
Attempt any EIGHT questions of the following : [16]

Q. 3. Obtain an expression for moment of inertia of a uniform disc
of mass ‘M’ and radius ‘R’ rotating about an axis passing
through its centre and perpendicular to its plane.

Q. 4. What is the effect of impurities on surface tension of a liquid?

Q. 5. Explain the thermodynamics of adiabatic process to obtain
adiabatic constant for rigid diatomic molecule of a gas?

Q. 6. Draw a neat labelled diagram of variation of kinetic energy
and potential energy with displacement in S.H.M.

Q. 7. Assuming an equation of magnetic force due to arbitrarily
shaped wire, obtain an expression for force on a closed circuit
in a uniform magnetic field.

Q. 8. Distinguish between diamagnetic and paramagnetic
substances.

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Q. 9. State Faraday’s laws in electromagnetic induction.

Q. 10. In a purely resistive circuit a source of e.m.f. having e =

140sin(3142t) is connected across a pure resistor. If value of

rms current is 1.98A, calculate the value of resistance.

Q. 11. The differential equation of linear S.H.M. in SI units is

d2 x
. Calculate its frequency and periodic time.
dt 2
Q. 12. Two tuning forks having frequencies 160 Hz and 170 Hz are
sounded together to produce sound waves. The velocity of
sound in air is 326.4 ms–1. Calculate the difference between
wavelengths of these waves.

Q. 13. What must be the ratio of the slit width to the wavelength for
a single slit to have the first diffraction minimum at 45°?

Q. 14. A potential gradient of a wire is 0.5V/m. If the e.m.f. of a cell
balances against 216 cm of this potentiometer wire, calculate
e.m.f. of the cell.

SECTION – C
Attempt any EIGHT questions of the following : [24]

Q. 15. Obtain an expression for torque acting on a rigid body rotating
with constant angular acceleration.

Q. 16. Define the terms –
(a) Cohesive force
(b) Range of molecular force
(c) Sphere of influence

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Q. 17. Show that only odd harmonics are present in the vibrations of
air column in a pipe closed at one end.

Q. 18. Obtain an expression for the electric intensity at a point
outside a uniformly charged spherical shell.

Q. 19. With the help of neat labelled circuit diagram explain the use
of metre bridge to determine unknown resistance.

Q. 20. Derive an expression for the magnetic field produced at the
centre of a circular arc of a wire carrying current I.

Q. 21. Derive the decay law of radioactivity and state SI unit of
‘activity.’

Q. 22. Find the shortest and longest wavelengths in the Lyman series
of hydrogen atom.

Q. 23. The de-Broglie wavelengths associated with an electron and
proton are same. Calculate the ratio of their momentum and
kinetic energies.

Q. 24. A parallel plate capacitor is maintained at potential of 400V.
If area of plates is 40 cm2 and separation between plates is
40 mm, calculate displacement current in 1Ps.

Q. 25. A 120 watt filament lamp loses all its energy by radiation from
its surface. The emissivity of the surface is 0.6. The area of
the surface is 3.53 × 10–3m2. Calculate the temperature of the
filament.

Q. 26. A Carnot engine receives 4000J of heat from a reservoir at
500K, does some work, rejects 2000J heat to reservoir at 200K.
(a) How much work does it do?
(b) What is its efficiency?

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SECTION – D
Attempt any THREE questions of the following : [12]

Q. 27. Define isothermal process. Obtain an expression for work done
during isothermal process. Draw P–V diagram.

Q. 28. Using phasor diagram for a series LCR circuit, obtain an
expression for impedance. Define admittance.

Q. 29. Obtain an expression for motional e.m.f. in a rotating bar with
constant angular velocity ‘Z’ in uniform magnetic field
perpendicular to plane of rotation.
The mutual inductance (M) of the two coils is 1.5H. The self
inductances of the coils are 5H and 4H. Calculate the coefficient
of coupling between the coils.

Q. 30. Define logic gate and explain why NOT gate is called an
inverter.
The transistor is in the common emitter configuration. Its DC
current gain is 50. If collector current is 3mA, calculate the
base current.

Q. 31. State the four conditions for obtaining well defined and steady
interference pattern.
Light incident at angle 52.5° on a bucket filled with water be
completely polarised after reflection. Calculate the refractive
index of the water.

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Maharashtra State Board Sample Paper 2026

DAY — 04 SEAT NUMBER

2025 VI 28 1100 (M)
J-340
PHYSICS (54)

Time : 3 Hrs. ( 8 Pages ) Max. Marks : 70

(1)

(2)

(3)

(4)

(5)

(6)

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(7)

(8) (Physical Constants) :

(i) h = 6.63 × 10–34 Js
(ii) c = 3 × 108 m/s
(iii) S = 3.142
(iv) g = 9.8 m/s2

(v) H0= 8.85 × 10–12 C2/Nm2

(vi) µ0 = 4S ×10–7 Wb/Am
(vii) me = 9.11 × 10–31 kg
(viii) mp = 1.672 × 10–27 kg
(ix) V = 5.67 × 10–8 Jm–2s–1k–4
(x) RH = 1.097 × 107m–1

(i)
(spherical)
(conical)
(cylindrical)
(laminar)

(ii) X
(simple harmonic progressive)
Y = a sin (kx–Zt) Y = a sin (kx+Zt)
Y = a sin (ky–Zt) Y = a sin (ky+Zt)

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(iii) Rexit

exit

1 1
2
exit R exit

(iv) (visible radiation)

(zinc) (cadmium)

(magnesium) (sodium)

(v) (gyromagnetic ratio)

2me 2me
e e2

e e2
2me 2me

(vi) 0.3 cm 0.6 cm
(capillary rise)
1:2 2:1
1:4 4:1

(vii) (Kirchhoff ’s voltage law) (loop)

(conservation

law)

(momentum) (mass)

(energy) (charge)

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(viii) (polarizer)

1 1
2 4
1 1
6 8

(ix) 0.4% 1ºC

200ºC 250ºC
300ºC 350ºC

(x) 4000 Å 0.1W
(incident photon)
2.011 × 1017 3.011 × 1017
4.011 × 1017 5.011 × 1017

(i) (extreme position)

(ii)

(iii) (athermanous substance)
(coefficient of transmission)

(iv) (dark current)

(v) (mutual inductance)

(vi) (magnetization)

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(vii) 20 cm (metal ring)

(radius of gyration)

(viii) (hydraulic lift) (piston)
A1 A2 (A2 >> A1) 1 F1
2

‘M’ ‘R’

(impurities)

. (rigid diatomic molecule)
(adiabatic constant) (adiabatic
process)

(closed circuit)

(diamagnetic) (paramagnetic)

(electromagnetic induction)

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e = 140 sin (3142t), (purely
resistive) (across) (r.m.s. current)
1.98A

d2 x
SI
dt 2
(frequency and periodic time)

160 Hz 170 Hz
326.4 ms–1

45º

(potential gradient) 0.5 V/m
216 cm

(torque)

(a) (Cohesive force)

(b) (Range of molecular force)

(c) (Sphere of influence)

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(unknown resistance)

(circular arc) I

(decay law of radioactivity)
(activity) (S.I.)

(longest)

400 V
40 cm2 40 mm 1Ps
(displacement current)

120watt (filament lamp)
0.6
3.53 × 10–3m2

(carnot engine) 500 K (reservoir)
4000J 2000J 200K

(a)
(b) (efficiency)

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PV

LCR (phasor diagram)
(impedance) (admittance)

. ‘Z’
(motional e.m.f.)

(M) (coefficient of mutual
induction) 1.5 H (self inductance)
5H 4H (coefficient of coupling)

. (logic gate) NOT (inverter)

(common emitter)
DC (DC current gain) 50 (collector
current) 3 mA (base current)

.

52.5º (polarized)
(refractive index)

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