Dual Nature of Matter

JEE Main level, single correct, medium

191 of 200

Question 191 of 200

Statement-1 : When ultraviolet light is incident on a photocell, its stopping potential is V0V_0 and the maximum kinetic energy of the photoelectrons is Kmax⁡\mathrm{K}_{\max }. When the ultraviolet light is replaced by X−\mathrm{X}- rays, both V0\mathrm{V}_0 and Kmax⁡\mathrm{K}_{\max } increase.
Statement-2 : Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light.

Of the four choices given after the statements, choose the one that best describes the two statements.

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Answer: (D) Statement-1 is true, Statement- 2 is false.

Since the frequency of ultraviolet light is less than the frequency of XX-rays, the energy of each incident photon will be more for X-rays
K.Ephotoelectron=hv−φK.E_{photoelectron} =h v-\varphi
Stopping potential is to stop the fastest photoelectron

V0=\mathrm{V}_0=
so,
KEEmax⁡\mathrm{K}_{\mathrm{E}} \mathrm{E}_{\max } and V0\mathrm{V}_0 both increases.
But K.E ranges from zero to K.E
Emax⁡E_{\max } because of loss of energy due to subsequent collisions before getting ejected and not due to range of frequencies in the incident light.

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