JEE MAIN - Physics (2011 - No. 1)
Statement - $$1$$ : A metallic surface is irradiated by a monochromatic light of frequency $$v > {v_0}$$ (the threshold frequency). The maximum kinetic energy and the stopping potential are $${K_{\max }}$$ and $${V_0}$$ respectively. If the frequency incident on the surface is doubled, both the $${K_{\max }}$$ anmd $${V_0}$$ are also doubled.
Statement - $$2$$ : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.
Statement - $$2$$ : The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.
Statement - $$1$$ is true, Statement - $$2$$ is true, Statement - $$2$$ is the correct explanation of Statement - $$1$$.
Statement - $$1$$ is true, Statement - $$2$$ is true, Statement - $$2$$ is not the correct explanation of Statement - $$1$$.
Statement - $$1$$ is false, Statement - $$2$$ is true.
Statement - $$1$$ is true, Statement - $$2$$ is false.
Explanation
By Einstein photoelectric equation,
$${K_{\max }} = e{V_0} = hv - h{v_0}$$
When $$v$$ is doubled, $${K_{\max }}$$ and $${V_0}$$ become more than double.
$${K_{\max }} = e{V_0} = hv - h{v_0}$$
When $$v$$ is doubled, $${K_{\max }}$$ and $${V_0}$$ become more than double.
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