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Figure shows the graph of stopping poten...

Figure shows the graph of stopping potential verus that frequency of a photosensitive metal. The plank's constant and work funcation of the metal are

A

`((V_(2)+V_(1))/(v_(2)+v_(2)))e,((V_(2)v_(1)+V_(1)v_(2))/(v_(2) + v_(1)))e`

B

`((V_(2)+V_(1))/(v_(2)-v_(1)))e,((V_(2)v_(1)+V_(1)v_(2))/(v_(2)-v_(1)))e`

C

`((V_(2)-V_(1))/(v_(2)+v_(1)))e,((V_(2)v_(1)-V_(1)v_(2))/(v_(2) + v_(1)))e`

D

`((V_(2)-V_(1))/(v_(2)-v_(1)))e,((V_(2)v_(1)-V_(1)v_(2))/(v_(2)-v_(1)))e`

Text Solution

Verified by Experts

The correct Answer is:
D
Equation of straight line `(V - V_(1))/(v - v_(1)) = (V_(2) - V_(1))/(v_(2) - v_(1)) rArr V = ((V_(2) - V_(1))/(v_(2) - v_(1))) v - ((V_(2)v_(1) - V_(1)v_(2))/(v_(2) - v_(1)))`
But `V = (h/e)v - (phi)/(e) rArr h = ((V_(2) - V_(1))/(v_(2) - v_(1)))e` and `phi_(0) = ((V_(2)v_(1) - V_(1)v_(2))/(v_(2) - v_(1)))e`
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