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JEE PHYSICS MCQ: DUAL NATURE OF RADIATION AND MATTER

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A small piece of cesium metal

(\varphi=1.9 \mathrm{~eV})

is kept at a distance of

20 \mathrm{~cm}

from a large metal plate having a charge density of

1.0 \times 10^{-9} \mathrm{C} \mathrm{~m}^{-2}

on the surface facing the cesium piece. A monochromatic light of wavelength

400 \mathrm{~nm}

is incident on the cesium piece. Find the minimum and the maximum kinetic energy of the photoelectrons reaching the large metal plate. Neglect any change in electric field due to the small piece of cesium present.

View answer and explanation

Correct option: A

22 .6 \mathrm{~eV}, 23 .8 \mathrm{~eV}

Option A (

22.6 \mathrm{~eV}, 23.8 \mathrm{~eV}

) is correct because it calculates the minimum and maximum kinetic energies of photoelectrons reaching the metal plate by considering the potential difference and the work function.

More Questions from DUAL NATURE OF RADIATION AND MATTER

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The electrons are emitted in the photoelectric effect from a metal surface What is the de Broglie wavelength of a bullet of mass 0.04 kg travelling at the speed of 1 km/s? Photoelectrons are emitted from a metal surface when UV light of wavelength

\lambda=300 \mathrm{~nm}

is incident on it. The minimum negative potential required to stop the emission of electrons is

0.54 \mathrm{~V}

. Calculate:
(i) the energy of the incident photons
(ii) the maximum kinetic energy of the photoelectrons emitted. An electron is accelerated by a potential difference of V volt to acquire kinetic energy equal to maximum kinetic energy of ejected photoelectron from a metal of work function 3.2 eV, using a light of wavelength

2000\,\mathop \mathrm{A}\limits^ \circ \,

Value of V is Two monochromatic beams

A

B

of equal intensity

I

, hit a screen. The number of photons hitting the screen by beam

A

is twice that by beam

B

. Then, what can inference you about their frequencies? A 5 W source emits monochromatic light of wavelength

5000\mathop A\limits^ \circ

. When placed 0.5 m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0m, the number of photoelectrons liberated will be reduced by a factor of