The one which does not represent a force in any context is

  • Friction

  • Impulse

  • Tension 

  • Weight


B.

Impulse

Impulse is equal to the change in momentum. So, option (b) is the correct answer.


Water from a hose pipe of radius 5 cm strikes a wall normally at a speed of 5 ms-1. The force exerted on the wall in newton is

  • 13.5 π

  • 6.25 π

  • 62.5π

  • 27π


C.

62.5π

Given, Radius of hose pipe (r) = 5 cm

                                            = 5 × 10-2 m

Speed of water (v) = 5 ms-1

We know that,

       F = Av2ρF = πr2v2ρF = π (5 × 10-2)2 (5)2 × 1000F= 62.5 π


It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is pd; while for its similar collision with carbon nucleus at rest, fractional loss of energy is pc. The values of pd and pc are respectively :

  • (0,1)

  • (.89,.28)

  • (.28,.89)

  • (0,0)


B.

(.89,.28)

For collision of a neutron with deuterium:

Applying conservation of momentum:

mv + 0 = mv1 + 2mv2 .....(i)
v2 -v1 = v ...... (ii)

Therefore, Collision is elastic, e = 1

From equ (i) and equ (ii) v1 = -v/3

Pd = 12mv2 -12mv1212mv2 = 89 = 0.89

Now, for the collision of neutron with carbon nucleus

Applying conservation of momentum

mv + 0 = mv1 + 12mv2 ....; (iii)

v = v2-v1  ....(iv)

v1 = -1113 vPc = 12mv2 - 12m1113v212mv2 = 48169 0.28


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A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take g = 10 m/s2 )

  • 2.0

  • 4.0

  • 1.6 

  • 1.6 


A.

2.0

Let the mass of block be m.
Frictional force in rest position
F = mg sin 30



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Two masses m1 = 5 kg and m2 = 4.8 kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move?
(g = 9.8 m/s2 )

  • 0.2 m/s2

  • 9.8 m/s2

  • 5 m/s2

  • 5 m/s2


A.

0.2 m/s2


On release, the motion of the system will be according to the figure.
m1g - T = m1a ...... (i)  and
T - m2g = m2a ...... (ii)

On solving;

straight a space equals space open parentheses fraction numerator straight m subscript 1 minus straight m subscript 2 over denominator straight m subscript 1 plus straight m subscript 2 end fraction close parentheses space straight g space........ space left parenthesis iii right parenthesis

Here, m1 = 5 kg, m2 = 4.8 kg, g = 9.8 m/s2

straight a space equals space open parentheses fraction numerator 5 minus 4.8 over denominator 5 plus 4.8 end fraction close parentheses space straight x space 9.8
space equals space fraction numerator 0.2 over denominator 9.8 end fraction space straight x space 9.8
space equals space 0.2 space straight m divided by straight s squared

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