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Question

A uranium-238 nucleus,initially at rest,emits an alpha particle with a speed of 1.4×107 m/s.Calculate the recoil speed of the residual nucleus thorium-234.Assume that the mass of a nucleus is proportional to the mass number.+

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Solution

As uranium 238 nucleus emits,α-particle with a speed of 1.4×107 m/s.

Let v2 be the speed of the residual nucleus throium 234.

m1v1=m2v2

4×1.4×107=234×v2

v2=4×1.4×107234

=2.4×105msec


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