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The dimensions of \sigmab^{4} (\sigma = Stefan's constant and b = Wein's constant) are :

Option: 1

\left [ M^{0}L^{0}T^{0} \right ]

 

 


Option: 2

\left [ ML^{4}T^{-3} \right ]


Option: 3

\left [ ML^{-2}T^ \right ]


Option: 4

\left [ ML^{6}T^{^{-3}} \right ]


Answers (1)

best_answer

 

Dimention of Work, Potential Energy, Kinetic Energy, Torque -  \dpi{100} ML^{2}T^{-2}

As   \lambda _{m}T= b\, \, or\, \, b^{4}= \lambda _{m}^{4}T^{4}\, \, and\, \, \frac{energy}{area\,* \, time}= \sigma T^{4}

or\, \, \sigma = \frac{energy}{area\, *\, timeT^{4}}\, \, \therefore \sigma b^{4}=\left ( \frac{energy}{area\, *\, time} \right )\lambda _{m}^{4}

or\, \, \left [ \sigma b^{4} \right ]= \frac{\left [ ML^{2} T^{-2}\right ]}{\left [ L^{2} \right ]\left [ T \right ]}\left [ L^{4} \right ]= \left [ ML^{4}T^{-3} \right ]

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jitender.kumar

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