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 $${1 \over \lambda }$$.
JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Option 1
JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Option 2
JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Option 3
JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Option 4

Explanation

JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Explanation 1

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).

JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Explanation 2

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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