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Board Of School Education Haryana
मॉडल पेपर
उत्तर
2025
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Class XI (Session 2024-25)
Marking Scheme
Subject - Physics
SECTION - A
1. I) 10m 1
2. ii) ZERO 1
3. ii) 60º 1
4. iv) ZERO 1
5. iii) 10N 1
6. ii) 9J 1
7. ii) decreases 1
8. ii) decreases 1
3/2
9. iv) Ta R 1
10. ZERO 1
11. Bulk Modules 1
12. Hooke's law 1
13. 8:1 1
14. Joule / kg 1
15. g = 3a 1
16. (d) 1
17. (d) 1
18. (d) 1
SECTION - B
19. By PRINCIPLE OF HOMOGENEITY 2
a = [L] (1+1)
–1
b = [LT ]
20. ½
½
½
½
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21. W = F.S. 1
= (3i + 4j + 5k) . (5i + 4j + 3k)
= 15 + 16 + 13
= 46 Joule 1
OR
Recation between K.E. and linear Momentum. 1
P= 2mE
1
KE of Lighter body will be greater because KE a 1
mass
22. Coefficient of restitution is defined as the ratio of the magnitude of velocity of separation and
magnitude of velocity of approach. 1+1
For Elastic Collision e = 1
23. Maximum mass that can be lifted, m = 3000 kg
Area of cross-section of the load-carrying piston, A = 425 cm2 = 425 × 10-4m2 ½
The maximum force exerted by the load,F = mg = 3000 x 9.8 = 29400 N ½
The maximum pressure on the load-carrying piston, P = F / A ½
P= 6.917 x 105 Pa ½
24. At room temperature, T = 270 C = 300 K ½
Average thermal energy = (3 / 2) kT ½
Where,
k is the Boltzmann constant = 1.38 × 10-23 m2 kg s-2 K-1
Hence,
(3 / 2) kT = (3 / 2) × 1.38 × 10-23 × 300 ½
On calculation, we get
= 6.21 x 10-21 J ½
25. T = 80N
l= .50 metre
m = 4 × 10–3kg
T
v= 1
μ
Where
4 Î10 –3
u = mass per unit length = = 8 × 10–3 kg/metre ½
.50
80
u= = 10 m/s ½
8 Î10 –3
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SECTION - C
26. 1
1
1
27. Expression for centre of Mass 3
m1 r1 + m 2 r2 + m3 r3
r=
m1 + m 2 + m3
28. Moment of inertia is the sum of the product of the mass of every particle with its square of the
distance from the axis of rotation. We know, kinetic energy 1
1
(E) = mv2 ½
2
As v = wr
So
1
E = m (r2 w2) ½
2
1
⇒ E= Iw² 1
2
[∴I=mr²]
which is required relationship between kinetic energy of rotation and moment of inertia.
29. Kepler's Laws of Planetary MotionThey describe how 1+1+1
1) planets move in elliptical orbits with the Sun as a focus,
2) a planet covers the same area of space in the same amount of time no matter where it is
in its orbit, and
3) a planet's orbital period is proportional to the size of its orbit.
OR
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1
1
1
1
30. An adiabatic process is defined as. The thermodynamic process in which there is no
exchange of heat from the system to its surrounding neither during expansion nor during
compression. 1+2
u 2sinθ2
H=
2g
OR
Isothermal process is a thermodynamic process in which the temperature of a system
remains constant. The transfer of heat into or out of the system happens so slowly that
thermal equilibrium is maintained. 1+2
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31. (I) Let H be the maximum height reached by the projectile in time t1 For vertical motion, 2½
The initial velocity = u sin q
The final velocity = 0
Acceleration = – g
\ using, v2 = uw2 + 2as
0 = u2 sin2q -2gH
2gH = u2 sin2q
u 2sin 2 s
H=
2g
(ii) Let t1 be the time taken by the projectile to reach the maximum height H. For vertical
motion, 2½
initial velocity = u sin q
Final velocity at the maximum height = 0
Acceleration a = –g
Using the equation v = u+ at1
0 = u sin q – gt1
gt1 =u sin q
u sin θ
t1 =
g
Let t2 be the time of descent.
But t1 = t2
i.e. time of ascent = time of descent.
\ Time of flight T = t1 +t2 = 2t1
2u sin s
\ T=
g
OR
The triangle law for vector addition states that if two vectors are represented by two sides of a
triangle taken in order, then their vector sum is represented by the third side of the triangle
taken in the opposite direction. 1
4
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32. 1
R
Q 1
1
1
1
OR
Newton's law of cooling states that the rate at which an object cools is proportional to the
difference in temperature between the object and the object's surroundings,
Proof / Derivation 1+4
33. Limiting friction is described as the friction created when two static surfaces come into
contact with each other 1
LAWS :
1) The direction of limiting friction force is always opposite the direction of motion. 1
2) It always acts tangential to the two surfaces. 1
3) It is dependent on the material and the nature of the surfaces in contact. 1
4) It is independent of the shape and area. 1
OR
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2
2
1
Coefficient of static friction: μ = tan(θ), where μ is the coefficient of friction and θ is the angle
34. i) (d) 5 1
ii) (a) He 1
iii) The number of independent ways in which a molecule of gas can move is called the
degree of freedom. 2
OR
The law of equipartition of energy states that “For a system which is in thermal equilibrium,
its total energy is divided equally among the degree of freedom.” 2
35. I) (d) Restoring Force 1
ii) (a) Periodic Motion 1
iii) Simple harmonic motion is defined as a periodic motion of a point along a straight line,
such that its acceleration is always towards a fixed point in that line and is proportional
to its distance from that point. 2
OR
Seconds pendulum: a pendulum requiring exactly one second for each swing in either
direction or two seconds for a complete vibration and having a length between centres of
suspension and oscillation of 99.353 centimetre 2
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