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In an electron gun, emission current fro...

In an electron gun, emission current from the cathode is given by the equation,
`I=AT^(2)e^(-(B//(KT)))`[K=Boltzmann constant,A=constant]
The dimensional formula for `AB^(2)` is same as

A

KT

B

`IT^(2)`

C

`IK^(2)`

D

`(IK^(2))/(T)`

Text Solution

Verified by Experts

`(B)/(KT)` is dimensionless
`therefore [B]=[KT]`
Also `[I]=[AT^(2)]`
`therefore [A]=[T^(-2)]`
`therefore [AB^(2)]=[IK^(2)]`
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