The rest mass of a body is $m_{0} .$ If it moves with a velocity of 0.6 m/s, then its relativistic mass is m, then :

m < m_{0}

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m = m_{0}

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m > m_{0}

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None of these.

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Solution

The correct option is D $m > m_{0}$
$m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$
$= \frac{m_{0}}{\sqrt{1 - \frac{(0.6 c)^{2}}{c^{2}}}} = \frac{m_{0}}{\sqrt{0.64}} = \frac{m_{0}}{0.8}$

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The rest mass of a body is m0. If it moves with a velocity of 0.6 m/s, then its relativistic mass is m, then :

The correct option is D m>m0m=m0√1−v2c2=m0√1−(0.6c)2c2=m0√0.64=m00.8

The rest mass of a body is $m_{0} .$ If it moves with a velocity of 0.6 m/s, then its relativistic mass is m, then :

The correct option is D $m > m_{0}$
$m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$
$= \frac{m_{0}}{\sqrt{1 - \frac{(0.6 c)^{2}}{c^{2}}}} = \frac{m_{0}}{\sqrt{0.64}} = \frac{m_{0}}{0.8}$