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uranium 238 nucleus initally at rest with emits an alpha particles with a speed of 1.4 x 7 m/s calculate the recoil speed of the residual nucleus thorium 234

uranium 238 nucleus initally at rest  with emits an alpha particles with a speed of 1.4 x 7 m/s calculate the recoil speed of the residual nucleus thorium 234

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1 Answers

Arun
25758 Points
2 years ago
Mass∝Mass number or mass=xA,where A is mass number
Thorium, m 
t
​ 
 =234x and mass of alpha particle, m 
a
​ 
 =4x
Velocity of alpha particle is v 
a
​ 
 =1.4×10 
7
 m/s and that of thorium is v 
t
​ 
 
Applying momentum conservation, m 
a
​ 
 v 
a
​ 
 +m 
t
​ 
 v 
t
​ 
 =0(rest)
so v 
t
​ 
 =− 
m 
t
​ 
 
m 
a
​ 
 v 
a
​ 
 
​ 
 , after putting values of masses we get 
v 
t
​ 
 =− 
117
2v 
a
​ 
 
​ 
 =−2.4×10 
5
 m/s
Magnitude of velocity of residue nucleus i.e. Thorium nuclei is found to be 2.4×10 
5
 m/s.

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