The rmoionic emission is the process in which electrons emit from solid surface, when it is heated up. According to Richardson current density through solid surface is given by J = AT 2 e –B/KT , Where, T = Temperature, K = Boltzman constant
(i) Calculate dimension of B –
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Ans.
(i)
Sol. Dimension of 
The exponent of an exponential function must be dimensionless:
Therefore, 
Now, 
Hence, 
(ii)
Sol. Dimension of 
Current density:
From
(since the exponential term is dimensionless),
(iii)
Sol. Dimension of 
Now compare with the options:
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