This question has Statement - 1 and Statement - 2. Of the four choices 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 `vgtv_(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 doubled, both the `K_(max)` and `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.

Options

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

Answer

C

Explanation

`(KE_("max"))_(1)=hv-hv_(0)`
`h_(v)-hv_(0)=exx DeltaV`
`V_(0)=(hv)/(e)-(hv_(0))/(e)`
.V. is doubled
`(KE_("max"))_(2)=hv-hv_(0)`
`V_(0).=(DeltaV).=(2hv)/(e)-(hv_(0))/(e)`
`((K_("max"))_(1))/((KE_("max"))_(2))` = may not be equal to 2.
`rArr (V_(0))/(V_(0))` my not equal to 2.
`KE_("max")=hv-hv_(0)`
`V=(hv)/(e)-(hv_(0))/(e)` so K.E. and v depend upon v only.