Answer:

Explanation:
As we know that bullet strike the block and fix in it
so here if bullet and box is taken as a system then there is no external force on it
so here the initial momentum of bullet and block must be equal to final momentum of bullet and block
so here we have

now we have




now from above equation we have


Answer:
Velocity will be 
Explanation:
We have given mass of alpha particle m = 4 u 
Charge on alpha particle 
Charge on thorium particle 
Diameter is given as d = 15 fm
So radius 
Potential energy is given by 
From energy conservation 


Answer:
degree
Explanation:
given data:

accoding to the snell's law

where n1 is refracting index of air = 1
n2 is refracting index of glass = 1.55
putting all value to get angle mad by incident ray with normal

degree
Answer:
Explanation:
We shall apply the theory of
heat lost = heat gained .
heat lost by water = mass x specific heat x temperature diff
= .285 x 4190 x ( 75.2 - 32 ) = 51587.28 J
heat gained by ice to attain temperature of zero
= m x 2100 x 22.8 = 47880 m
heat gained by ice in melting = latent heat x mass
= 334000m
heat gained by water at zero to become warm at 32 degree
= m x 4190 x 32 = 134080 m
Total heat gained = 515960 m
So
515960 m = 51587.28
m = .1 kg
= 100 gm