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How long would the measured lifetime be if the neutron were moving at 0. 936c?

Sagot :

shubhamchouhanvrVT

The lifetime of the neutron will be t=40 minutes when the neutron is moving at a speed of 936 c.

What will be life of neutron?

when neutrons are free and floating alone outside of an atom, they start to decay into protons and other particles.The formula for the life of the neutron will be given by:

[tex]t=\dfrac{\Delta t_o}{\sqrt{1-\dfrac{v^2}{c^2}}}[/tex]

Here

t= Lifetime

to=Average life

v= velocity

c=speed of light

Since the average life of the neutron is about 14 minutes or 840 seconds.

Velocity =0.936c

By putting the values in the question

[tex]t=\dfrac{840}{\sqrt{1-\dfrac{(0.936c)^2}{c^2}}}[/tex]

[tex]t=\dfrac{840}{\sqrt{0.123}}[/tex]

[tex]t=\dfrac{840}{0.35}=2400\ \ sec\\\\[/tex]

Hence the lifetime of the neutron will be t=40 minutes when the neutron is moving at a speed of 936 c.

To know more about neutron follow

https://brainly.com/question/26952570

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