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A free ^238U nucleus kept in a train emi...

A free `^238U` nucleus kept in a train emits an alpha particle. When the train is stationary, a nucleus decays and a passenger measures that the separation between the alpha particle and the recoiling nucleus becomes x at time t after the decay. If the decay takes place while the train is moving at a uniform velocity v, the distance betwen the alpha particle and the recoiling nucleus at a time t after the decay as measured by the passenger is

A

`x + upsilont`

B

`x -upsilon t`

C

`x`

D

depends on the direction of the train

Text Solution

Verified by Experts

The correct Answer is:
C

The decay law will remain same even in the train. The velocities of the `alpha` - partilce and the recoiling nucleus will be same on the ground and in the train with respect to train.
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