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Question: The slope of graph drawn between stopping potential and frequency of incident light for a given surf...

The slope of graph drawn between stopping potential and frequency of incident light for a given surface will be :-

A

h

B

h/e

C

eh

D

e

Answer

h/e

Explanation

Solution

The photoelectric equation is hν=hν0+eV0h\nu = h\nu_0 + eV_0. Rearranging this to express stopping potential (V0V_0) as a function of frequency (ν\nu) gives V0=(he)ν(hν0e)V_0 = \left(\frac{h}{e}\right)\nu - \left(\frac{h\nu_0}{e}\right). Comparing this to the equation of a straight line y=mx+cy = mx + c, where y=V0y = V_0 and x=νx = \nu, the slope mm is clearly he\frac{h}{e}.