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The dimensions of stefan 's constant are...

The dimensions of stefan 's constant are

A

`[M^(0)LT^(-3)K^(-4)]`

B

`[MLT^(-3)K^(-3)]`

C

`[ML^(2)T^(-3)K^(-4)]`

D

`[ML^(0)T^(-3)K^(-4)]`

Text Solution

Verified by Experts

The correct Answer is:
a

Stefan's constant is given by `sigma =(E)/(at theta^(4)`
where E is energy radiated A is surface area of body ti is time and `theta` is the absolute temperature
`therefore` Dimensions of stefan 's constant
` =[ML^(2)T^(-2)]/(L^(2)xxTxxK^(4)`
`=[ML^(0)T^(-3)K^(-4)]`
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