The work functions of Aluminium and Gold are 4.1 eV and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is
Text Solution
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The data given is
= 4.1 eV
= 5.1 eV
The energy is given by
hv = 
+ KE
hv = 
+ eV 0
where V 0 is the stopping potential and K = eV 0
Thus, the above equation can be written as
The equation is of the form of y = mx + c. The slope is
Since the Planck constant h and charge of an electron is a constant e, the slope does not depend on the work function. Hence the ratio of the slope of the plot of stopping potential and frequency for both the given metals is 1.
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