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 Page 1


  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-2 Solution 
 
 
1. 
(i) [ML
2
T
-2
]          
(ii) Dimensionless          
 
2.  
Reaction is the force applied by the block on the Earth.   
 
3.  
Two advantages of ‘I’ shape of iron beams are 
(i) minimizes sagging       
(ii) minimizes buckling        
 
4.  
Wire B.         
 
5.  
Natural Convection: Trade winds/Land and sea breeze  
Forced Convection: Human circulatory system   
 
6.  
 
 
7.  
Invar is used because of a very small coefficient of linear expansion.   
 
8.  
The frequency of free oscillations of a vibrating system.    
 
Page 2


  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-2 Solution 
 
 
1. 
(i) [ML
2
T
-2
]          
(ii) Dimensionless          
 
2.  
Reaction is the force applied by the block on the Earth.   
 
3.  
Two advantages of ‘I’ shape of iron beams are 
(i) minimizes sagging       
(ii) minimizes buckling        
 
4.  
Wire B.         
 
5.  
Natural Convection: Trade winds/Land and sea breeze  
Forced Convection: Human circulatory system   
 
6.  
 
 
7.  
Invar is used because of a very small coefficient of linear expansion.   
 
8.  
The frequency of free oscillations of a vibrating system.    
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
9.  
Absolute error is the magnitude of difference between the value of individual measurement 
and the true value of the quantity.    
 ? t = t 2 – t 1 
       = (50 ± 0.5) – (20 ± 0.5)      
      = 30°C ± 1°C       
 
10.  
(i) Velocity is negative as the slope of x-t graph is negative.   
(ii) Acceleration is negative. The increasing slope indicates speeding up, and hence the sign 
of acceleration and velocity are same.    
 
11. 
  
?
?
2usin
T
g
     
 ? ? ?
gT
usin
2
 
Max. Height 
?
?
22
u sin
H
2g
     
                        
?
?
2
(usin )
2g
 
                        
??
??
??
?
2
gT
2
2g
       
                        ?
2
gT
8
     
 
12.  
(i) A horse cannot pull a cart and run forward in space because no reaction from any 
surface underneath is available which can make the horse move forward.  
(ii) Due to inertia of motion, the upper part of the body continues to move along the 
tangent to the circular path of the bus and hence passengers are thrown outward when the 
bus takes a sudden turn.   
 
13.  
Concurrent forces are the forces whose lines of action intersect at a common point.    
Conditions: 
1.  ?
?
F0        
2.  ??
?
0       
 
 
 
Page 3


  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-2 Solution 
 
 
1. 
(i) [ML
2
T
-2
]          
(ii) Dimensionless          
 
2.  
Reaction is the force applied by the block on the Earth.   
 
3.  
Two advantages of ‘I’ shape of iron beams are 
(i) minimizes sagging       
(ii) minimizes buckling        
 
4.  
Wire B.         
 
5.  
Natural Convection: Trade winds/Land and sea breeze  
Forced Convection: Human circulatory system   
 
6.  
 
 
7.  
Invar is used because of a very small coefficient of linear expansion.   
 
8.  
The frequency of free oscillations of a vibrating system.    
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
9.  
Absolute error is the magnitude of difference between the value of individual measurement 
and the true value of the quantity.    
 ? t = t 2 – t 1 
       = (50 ± 0.5) – (20 ± 0.5)      
      = 30°C ± 1°C       
 
10.  
(i) Velocity is negative as the slope of x-t graph is negative.   
(ii) Acceleration is negative. The increasing slope indicates speeding up, and hence the sign 
of acceleration and velocity are same.    
 
11. 
  
?
?
2usin
T
g
     
 ? ? ?
gT
usin
2
 
Max. Height 
?
?
22
u sin
H
2g
     
                        
?
?
2
(usin )
2g
 
                        
??
??
??
?
2
gT
2
2g
       
                        ?
2
gT
8
     
 
12.  
(i) A horse cannot pull a cart and run forward in space because no reaction from any 
surface underneath is available which can make the horse move forward.  
(ii) Due to inertia of motion, the upper part of the body continues to move along the 
tangent to the circular path of the bus and hence passengers are thrown outward when the 
bus takes a sudden turn.   
 
13.  
Concurrent forces are the forces whose lines of action intersect at a common point.    
Conditions: 
1.  ?
?
F0        
2.  ??
?
0       
 
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
14.  
Because the gravitational force between the satellite and the earth provides the necessary 
centripetal force required to keep it in its orbit.  
No, because New Delhi is not on the equatorial plane.    
 
15.  
(a) All have same average K.E. as K av depends only on temperature.  
(b) C, B and A as v rms ?
1
m
       
OR 
(i)  ??
2
rms
1 mn
P
3V
        
  ?
i
f
P 1
P2
        
(ii)  ?
2
PE
3
      
 ? ? ? ?
53
3
E P 3 10 J/m
2
  
 
16.  
(i) ?
11
22
QT
QT
        
 ? T 2 = 320 K         
(ii)  ? = 1 - 
2
1
T
T
   
 ? ? ? = 0.2 
 
17.  
x(t) = ? ? ? ?
??
dt ( 12t 12)dt   
        ? ? ? ?
2
t
12 12t c
2
 
         = -6t
2
 + 12t + c        
 
Since, at t = 0, x(0) = 5, therefore, c = 5  
Therefore, x(t) = -6t
2
 + 12t + 5 m  
Also,  ?
dv
a
dt
      
             ??
2
12 m/s   
 
 
 
 
 
Page 4


  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-2 Solution 
 
 
1. 
(i) [ML
2
T
-2
]          
(ii) Dimensionless          
 
2.  
Reaction is the force applied by the block on the Earth.   
 
3.  
Two advantages of ‘I’ shape of iron beams are 
(i) minimizes sagging       
(ii) minimizes buckling        
 
4.  
Wire B.         
 
5.  
Natural Convection: Trade winds/Land and sea breeze  
Forced Convection: Human circulatory system   
 
6.  
 
 
7.  
Invar is used because of a very small coefficient of linear expansion.   
 
8.  
The frequency of free oscillations of a vibrating system.    
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
9.  
Absolute error is the magnitude of difference between the value of individual measurement 
and the true value of the quantity.    
 ? t = t 2 – t 1 
       = (50 ± 0.5) – (20 ± 0.5)      
      = 30°C ± 1°C       
 
10.  
(i) Velocity is negative as the slope of x-t graph is negative.   
(ii) Acceleration is negative. The increasing slope indicates speeding up, and hence the sign 
of acceleration and velocity are same.    
 
11. 
  
?
?
2usin
T
g
     
 ? ? ?
gT
usin
2
 
Max. Height 
?
?
22
u sin
H
2g
     
                        
?
?
2
(usin )
2g
 
                        
??
??
??
?
2
gT
2
2g
       
                        ?
2
gT
8
     
 
12.  
(i) A horse cannot pull a cart and run forward in space because no reaction from any 
surface underneath is available which can make the horse move forward.  
(ii) Due to inertia of motion, the upper part of the body continues to move along the 
tangent to the circular path of the bus and hence passengers are thrown outward when the 
bus takes a sudden turn.   
 
13.  
Concurrent forces are the forces whose lines of action intersect at a common point.    
Conditions: 
1.  ?
?
F0        
2.  ??
?
0       
 
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
14.  
Because the gravitational force between the satellite and the earth provides the necessary 
centripetal force required to keep it in its orbit.  
No, because New Delhi is not on the equatorial plane.    
 
15.  
(a) All have same average K.E. as K av depends only on temperature.  
(b) C, B and A as v rms ?
1
m
       
OR 
(i)  ??
2
rms
1 mn
P
3V
        
  ?
i
f
P 1
P2
        
(ii)  ?
2
PE
3
      
 ? ? ? ?
53
3
E P 3 10 J/m
2
  
 
16.  
(i) ?
11
22
QT
QT
        
 ? T 2 = 320 K         
(ii)  ? = 1 - 
2
1
T
T
   
 ? ? ? = 0.2 
 
17.  
x(t) = ? ? ? ?
??
dt ( 12t 12)dt   
        ? ? ? ?
2
t
12 12t c
2
 
         = -6t
2
 + 12t + c        
 
Since, at t = 0, x(0) = 5, therefore, c = 5  
Therefore, x(t) = -6t
2
 + 12t + 5 m  
Also,  ?
dv
a
dt
      
             ??
2
12 m/s   
 
 
 
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
18.  
 ?
1
ˆ
F 2j N 
 ??
00
2
ˆˆ
F 2cos60 i 2sin60 j 
      ??
ˆˆ
i 3j N  
 ? ? ?
00
3
ˆˆ
F 1sin60 i 1cos60 j  
      ? ? ?
31
ˆˆ
i j N
22
  
 
??
? ? ? ? ? ? ? ? ??
??
??
1 2 3
31
ˆ ˆ ˆ ˆ ˆ
F F F 2j (i 3j) i j
22
 
                      
??
??
? ? ? ? ??
??
??
??
??
33
ˆˆ
1 i 3 j N
22
  
 
19.  
(i) Conservative: spring force, gravitational force     
Non-conservative: Human push, viscous drag     
(ii)  ??
dU
F
dr
         
 
20. Coefficient of restitution: Ratio of relative speed of separation to relative speed of 
approach.        
 
No, not for each body separately. Total energy and total momentum of the whole isolated 
system will be conserved.    
 
Heavy water is chosen because collision between fast neutron and near stationary 
deuterons in heavy water results in maximum exchange of kinetic energy as their masses 
are comparable.  
OR 
(a)  ? ? ? ? ? ?
ˆˆ ˆ ˆ ˆ ˆ
F 7i 3j 5k, r i j k 
 ? ? ? rF         
    ??
?
ˆ ˆˆ
i j k
1 1 1
7 3 5
    
    ? ? ? ? ? ?
ˆ ˆˆ
(5 3)i (5 7)j (3 7)k    
 ? ? ? ?
ˆ ˆˆ
2i 12j 10k   
 
(b) Curl the fingers of right hand along the direction of rotation, the out stretched thumb 
points along the direction of angular velocity.  
 
 
Page 5


  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-2 Solution 
 
 
1. 
(i) [ML
2
T
-2
]          
(ii) Dimensionless          
 
2.  
Reaction is the force applied by the block on the Earth.   
 
3.  
Two advantages of ‘I’ shape of iron beams are 
(i) minimizes sagging       
(ii) minimizes buckling        
 
4.  
Wire B.         
 
5.  
Natural Convection: Trade winds/Land and sea breeze  
Forced Convection: Human circulatory system   
 
6.  
 
 
7.  
Invar is used because of a very small coefficient of linear expansion.   
 
8.  
The frequency of free oscillations of a vibrating system.    
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
9.  
Absolute error is the magnitude of difference between the value of individual measurement 
and the true value of the quantity.    
 ? t = t 2 – t 1 
       = (50 ± 0.5) – (20 ± 0.5)      
      = 30°C ± 1°C       
 
10.  
(i) Velocity is negative as the slope of x-t graph is negative.   
(ii) Acceleration is negative. The increasing slope indicates speeding up, and hence the sign 
of acceleration and velocity are same.    
 
11. 
  
?
?
2usin
T
g
     
 ? ? ?
gT
usin
2
 
Max. Height 
?
?
22
u sin
H
2g
     
                        
?
?
2
(usin )
2g
 
                        
??
??
??
?
2
gT
2
2g
       
                        ?
2
gT
8
     
 
12.  
(i) A horse cannot pull a cart and run forward in space because no reaction from any 
surface underneath is available which can make the horse move forward.  
(ii) Due to inertia of motion, the upper part of the body continues to move along the 
tangent to the circular path of the bus and hence passengers are thrown outward when the 
bus takes a sudden turn.   
 
13.  
Concurrent forces are the forces whose lines of action intersect at a common point.    
Conditions: 
1.  ?
?
F0        
2.  ??
?
0       
 
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
14.  
Because the gravitational force between the satellite and the earth provides the necessary 
centripetal force required to keep it in its orbit.  
No, because New Delhi is not on the equatorial plane.    
 
15.  
(a) All have same average K.E. as K av depends only on temperature.  
(b) C, B and A as v rms ?
1
m
       
OR 
(i)  ??
2
rms
1 mn
P
3V
        
  ?
i
f
P 1
P2
        
(ii)  ?
2
PE
3
      
 ? ? ? ?
53
3
E P 3 10 J/m
2
  
 
16.  
(i) ?
11
22
QT
QT
        
 ? T 2 = 320 K         
(ii)  ? = 1 - 
2
1
T
T
   
 ? ? ? = 0.2 
 
17.  
x(t) = ? ? ? ?
??
dt ( 12t 12)dt   
        ? ? ? ?
2
t
12 12t c
2
 
         = -6t
2
 + 12t + c        
 
Since, at t = 0, x(0) = 5, therefore, c = 5  
Therefore, x(t) = -6t
2
 + 12t + 5 m  
Also,  ?
dv
a
dt
      
             ??
2
12 m/s   
 
 
 
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
18.  
 ?
1
ˆ
F 2j N 
 ??
00
2
ˆˆ
F 2cos60 i 2sin60 j 
      ??
ˆˆ
i 3j N  
 ? ? ?
00
3
ˆˆ
F 1sin60 i 1cos60 j  
      ? ? ?
31
ˆˆ
i j N
22
  
 
??
? ? ? ? ? ? ? ? ??
??
??
1 2 3
31
ˆ ˆ ˆ ˆ ˆ
F F F 2j (i 3j) i j
22
 
                      
??
??
? ? ? ? ??
??
??
??
??
33
ˆˆ
1 i 3 j N
22
  
 
19.  
(i) Conservative: spring force, gravitational force     
Non-conservative: Human push, viscous drag     
(ii)  ??
dU
F
dr
         
 
20. Coefficient of restitution: Ratio of relative speed of separation to relative speed of 
approach.        
 
No, not for each body separately. Total energy and total momentum of the whole isolated 
system will be conserved.    
 
Heavy water is chosen because collision between fast neutron and near stationary 
deuterons in heavy water results in maximum exchange of kinetic energy as their masses 
are comparable.  
OR 
(a)  ? ? ? ? ? ?
ˆˆ ˆ ˆ ˆ ˆ
F 7i 3j 5k, r i j k 
 ? ? ? rF         
    ??
?
ˆ ˆˆ
i j k
1 1 1
7 3 5
    
    ? ? ? ? ? ?
ˆ ˆˆ
(5 3)i (5 7)j (3 7)k    
 ? ? ? ?
ˆ ˆˆ
2i 12j 10k   
 
(b) Curl the fingers of right hand along the direction of rotation, the out stretched thumb 
points along the direction of angular velocity.  
 
 
  
 
CBSE  | Physics  
Sample Paper 2 Solution 
 
     
21.  
If we define perpendicular axes X, Y, and Z (which meet at origin O) so that the body lies in 
the XY plane, and the Z axis is perpendicular to the plane of the body and  
 (i) I X be the moment of inertia of the body about the X axis;  
 (ii) I Y be the moment of inertia of the body about the Y axis; and  
 (iii) I Z be the moment of inertia of the body about the Z axis.  
The perpendicular axis theorem states that 
 I Z = I X + I Y         
  
 I = MR
2    
 
   = 2 × (.50)
 2
 = 0.5 kg m
2  
 
 
 I’ = MR
2
 + MR
2
   
   = 2MR
2
 = 2 × 0.5  
   = 1kg m
2    
 
 
22.  
 
 
 U(r) = ?
12
12
Gm m
r
 
Therefore,  
 Total U = ??
22
Gm Gm
42
a
a2
      
                          
??
? ? ?
??
??
2
2Gm 1
2
a
2
  
                          ??
2
Gm
5.41
a
 
Potential V(r) = ?
1
1
Gm
r
 
Total V = ? ? ?
??
??
??
??
Gm Gm
4 4 2
a
a2
2
 
 
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