A particular particle created in a nuclear reactor leaves a 1 cm track before decaying. Assuming that the particle moved at 0.995c, calculate the life of the particle

Question

Philoid · Accepted Answer

a)We know time taken =

b)In the frame of particle there will be length contraction or we can say time dilation we can solve the question with anyone of the approach.

As the Lorentz transformation suggests there will be time dilation for a moving object with respect to rest frame which is given by

Where , V is velocity of moving object and C is speed of light in vacuum i.e.

And is time in rest frame.

was found in previous case as

A particular particle created in a nuclear reactor leaves a 1 cm track before decaying. Assuming that the particle moved at 0.995c, calculate the life of the particle(a) in the lab frame and(b) in the frame of the particle.

A particular particle created in a nuclear reactor leaves a 1 cm track before decaying. Assuming that the particle moved at 0.995c, calculate the life of the particle
(a) in the lab frame and

(b) in the frame of the particle.