This question has statement - 1 and statement - 2 of the four choice given after the statements choose the one that best describes the two statements
statement - 1 : A metallic surface is irradiated by a monochromatic light of frequency ` v gt 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) and V_(0)` are also doubled
statement - 2 : The maximum kinetic energy and the stopping potential of photoelectron emitted from a surface are linearly dependent on the frequency of incident light

Options

A. Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation of Statement-1.
B. Statement-1 is true, Statement-2 is true, but Statement-2 is not a correct explanation of Statement-1.
C. Statement-1 is true, but Statement-2 is false
D. Statement-1 is false, but Statement-2 is true.

Answer

d

Explanation

`K.E._(max)=hv-hv_(0)=eV_(0)`......(i)
So `V_(0)=(hv)/e-(hv_(0))/e`.......(ii)
When `v` is doubled, `K.E'_(max)=2hv-hv_(0)=eV'_(0)`
and `V'_(0)=(2hv)/e-(hv_(0))/e :. (K.E.'_(max))/(K.E._(max))ne2`
and `(V'_(0))/(V_(0))ne2`
From (i) and (ii) `K.E._(max) propv` and `V_(0)propv`
Thus, statement-1 is false, but statement-2 is true.