JEE Advance - Physics (2015 - Paper 1 Offline - No. 17)
For photo-electric effect with incident photon wavelength $$\lambda$$, the stopping potential is V0. Identify the correct variation(s) of V0 with $$\lambda$$ and $${1 \over \lambda }$$.




Explanation
Stopping potential (V0) is given by
$$e{V_0} = {{hc} \over \lambda } - \phi $$
Graph between V0 and $$\lambda$$ :
$$e{V_0} + \phi = {{hc} \over \lambda }$$
$$(e{V_0} + \phi )\lambda = hc$$
$$(e{V_0} + \phi )\lambda $$ = constant
Here, both e and $$\phi$$ are also constant. It represents a hyperbola.
For, V0 = 0, $$\lambda = {{constant} \over \phi } = $$ constant
So correct option is (a).
Graph between V0 and $${1 \over \lambda }$$ :
$${V_0} = \left( {{{hc} \over e}} \right)\left( {{1 \over \lambda }} \right) - \left( {{\phi \over e}} \right)$$
It represents a straight line with slope $$\left( {{{hc} \over e}} \right)$$ and intercept $$\left( { - {\phi \over e}} \right)$$ on V0 axis.
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