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Question: According to special theory of relativity, the mass m of a particle moving with speed v is (Where \...

According to special theory of relativity, the mass m of a particle moving with speed v is

(Where m0m_{0}is the rest mass and c is the speed of light)

A

m=m0m = m_{0}

B

m=m01v2c2m = m_{0}\sqrt{1 - \frac{v^{2}}{c^{2}}}

C

m=m01v2c2m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}

D

m=[m01v2c21]m = \left\lbrack m_{0}\sqrt{1 - \frac{v^{2}}{c^{2}} - 1} \right\rbrack

Answer

m=m01v2c2m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}

Explanation

Solution

According to special theory of relativity, mass of a particle moving with speed v is given by

m=m01v2c2m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}