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JEE Advanced

IMPORTANT

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Light of wavelength $λ_{p h}$ falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $ϕ$ and the anode is a wire mesh of conducting material kept at a distance $d$ from the cathode. A potential difference $V$ is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is $λ_{e},$ which of the following statement(s) is(are) true ?

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Important Questions on Dual Nature of Matter and Radiation

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 2 - 2018>Q 2

In a photoelectric experiment, a parallel beam of monochromatic light with the power of

200 W

is incident on a perfectly absorbing cathode of work function

6.25 eV

. The frequency of light is just above the threshold frequency so that the photoelectrons are emitted with negligible kinetic energy. Assume that the photoelectron emission efficiency is 100%. A potential difference of

500 V

is applied between the cathode and the anode. All the emitted electrons are incident normally on the anode and are absorbed. The anode experiences a force

F = n \times 10^{- 4} N

due to the impact of the electrons. The value of

n

is __________. Mass of the electron

m_{e} = 9 \times 10^{- 31} kg a n d 1.0 eV = 1.6 \times 10^{- 19} J

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 2 - 2017>Q 3

A photoelectric material having work-function

ϕ_{0}

is illuminated with a light of wavelength

λ (λ < \frac{h c}{ϕ_{0}})

. The fastest photoelectron has a de Broglie wavelength

λ_{d}

. A change in wavelength of the incident light by

Δ λ

results in a change

Δ λ_{d}

λ_{d}

. The ratio

\frac{Δ λ_{d}}{Δ λ}

is proportional to

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 2 - 2014>Q 6

A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u₁ and u₂, respectively. If the ratio

u_{1} : u_{2} = 2 : 1

and

h c = 1240 eV nm

, the work function of the metal is nearly

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 1 - 2016>Q 7

In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wavelengths. The emitted photoelectron energies were measured by applying a stopping potential. The relevant data for the wavelength

(λ)

of incident light and the corresponding stopping potential

(V_{0})

are given below:

$λ (μ m)$	$V_{0} (v o l t)$
0.3	2.0
0.4	1.0
0.5	0.4

Given that

c = 3 \times 10^{8} m s^{- 1} and e = 1.6 \times 10^{- 19} C,

Planck's constant (in units of

J s

) found from such an experiment is :

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 1 - 2015>Q 8

For photo-electric effect with incident photon wavelength

λ

, the stopping potential is

V_{0}

. Identify the correct variation(s) of

V_{0}

with

λ

and

\frac{1}{λ}

EASY

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 1 - 2013>Q 9

A pulse of light of duration

100 ns

is absorbed completely by a small object initially at rest. Power of the pulse is

30 mW

and the speed of light is

3 \times 10^{8} m s^{- 1}

. The final momentum of the object is

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 2 - 2021>Q 1

In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals

P, Q

and

R

are

E_{P}, E_{Q}

and

E_{R}

, respectively, and they are related by

E_{P} = 2 E_{Q} = 2 E_{R}

. In this experiment, the same source of monochromatic light is used for metals

P

and

Q

while a different source of monochromatic light is used for the metal

R

. The work functions for metals

P, Q

and

R

are

4.0 eV, 4.5 eV

and

5.5 eV

, respectively. The energy of the incident photon used for metal

R

, in

e V

is ___.

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Advanced Paper 2 - 2016>Q 4

Light of wavelength $λ_{p h}$ falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $ϕ$ and the anode is a wire mesh of conducting material kept at a distance $d$ from the cathode. A potential difference $V$ is maintained between the electrodes. If the minimum de Broglie wavelength of the electrons passing through the anode is $λ_{e},$ which of the following statement(s) is(are) true ?
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Important Questions on Dual Nature of Matter and Radiation

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