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प्रश्न
When a rod moves at a relativistic speed v, its mass ________________ .
विकल्प
must increase by a factor of γ
may remain unchanged
may increase by a factor other than γ
may decrease
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उत्तर
must increase by a factor of γ
If a rod is moving at a relativistic speed v, its mass is given by
\[m = \gamma m_o = \frac{m_o}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Here,
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Thus, its mass must increase by a factor of `gamma.`
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संबंधित प्रश्न
The magnitude of linear momentum of a particle moving at a relativistic speed v is proportional to ______________ .
If the speed of a particle moving at a relativistic speed is doubled, its linear momentum will _____________ .
Mark the correct statements:-
(a) Equations of special relativity are not applicable for small speeds.
(b) Equations of special relativity are applicable for all speeds.
(c) Nonrelativistic equations give exact result for small speeds.
(d) Nonrelativistic equations never give exact result.
If the speed of a rod moving at a relativistic speed parallel to its length is doubled,
(a) the length will become half of the original value
(b) the mass will become double of the original value
(c) the length will decrease
(d) the mass will increase
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(a) must be equal to L'
(b) may be equal to L
(c) may be more than L' but less than L
(d) may be more than L
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Find the speed at which the kinetic energy of a particle will differ by 1% from its nonrelativistic value \[\frac{1}{2} m_o v^2 .\]
Choose the correct answer from given options
The graph showing the correct variation of linear momentum (p) of a charge particle with its de-Broglie wavelength (λ) is _____________.
