Question

A heavy nucleus at rest breaks into two fragments which fly off with velocity in the ratio 27:1

Answer 1

Answer:

The answer is 1/3

Explanation:

According the problem the ratio of the velocity is 27:1

From the momentum conservation theory

m1v1= m2v

=>v1/v2= 27/`1 = m2/m1

=> m1/m2= 1/27

Now we know that mass can be written as m = v/d [ where v is the volume and d is the density]

But the particle breaks into fragments

therefore,

v a m

v1/v2= m1/m2

a1^3/a2^3= 1/27

a1/a2= 1/3