An electron (mass m ) with initial velocity v → = v 0 i ^ + v 0 j ^ is in an electric filed E → = - E 0 k ^ . If λ 0 is initial de-Broglie wavelength of electron, its de-Broglie wave length at time t is given by:

λ 0 1 + e 2 E 0 2 t 2 2 m 2 v 0 2

λ 0 2 1 + e 2 E 0 2 t 2 m 2 v 0 2

λ 0 1 + e 2 E 0 2 t 2 m 2 v 0 2

λ 0 2 + e 2 E 0 2 t 2 m 2 v 0 2

If the two metals A and B are exposed to radiation of wavelength 350 nm . The work functions of metals A and B are 4 . 8 eV and 2 . 2 eV . Then choose the correct option

Metal A will not emit photo-electrons

Metal B will not emit photo-electrons

Both metals A and B will emit photo-electrons

Both metals A and B will not emit photoelectrons

EASY

JEE Main

IMPORTANT

Earn 100

An electron (of mass $m$ ) and a photon have the same energy $E$ in the range of a few $e V$ . The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ( $c =$ speed of light in vacuum)

46.67% studentsanswered this correctly

Important Questions on Dual Nature of Matter and Radiation

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 8th January 2020 Shift 1>Q 41

When photon of energy

4.0 e V

strikes the surface of a metal

A,

the ejected photoelectrons have maximum kinetic energy

T_{A} e V

and de-Broglie wavelength

λ_{A} .

The maximum kinetic energy of photoelectrons liberated from another metal

B

by photon of energy

4.50 e V

T_{B} = (T_{A} - 1.5) e V .

If the de-Broglie wavelength of these photoelectrons

λ_{B} = 2 λ_{A},

then the work function of metal

B

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 8th January 2020 Shift 2>Q 42

An electron (mass

m

) with initial velocity

\vec{v} = v_{0} \hat{i} + v_{0} \hat{j}

is in an electric filed

\vec{E} = - E_{0} \hat{k} .

λ_{0}

is initial de-Broglie wavelength of electron, its de-Broglie wave length at time

t

is given by:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 9th January 2020 Shift 1>Q 43

Radiation, with wavelength

6561 Å

falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of

3 \times 10^{- 4} T

. If the radius of the largest circular path followed by the electrons is

10 m m

, the work function of the metal is close to:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 9th January 2020 Shift 1>Q 44

A particle moving with kinetic energy

E

has de-Broglie wavelength

λ

. If energy

Δ E

is added to its energy, the wavelength becomes

\frac{λ}{2}

. Value of

Δ E,

is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 9th January 2020 Shift 2>Q 45

An electron of mass

m

and magnitude of charge

e

at rest, gets accelerated by a constant electric field

E

. The rate of change of de-Broglie wavelength of this electron at a time

t

is (ignore relativistic effects)

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 9th April 2019 Shift 2>Q 47

A particle

' P'

is formed due to a completely inelastic collision of particles

' x'

and

' y'

having de-Broglie wavelengths

' λ_{x}'

and

' λ_{y}'

respectively. If

x

and

y

were moving in opposite directions, then the de-Broglie wavelength of

' P'

is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 8th April 2019 Shift 1>Q 50

Two particles move at right angle to each other. Their de Broglie wavelengths are

λ_{1}

and

λ_{2}

respectively. The particles suffer perfectly inelastic collision. The de Broglie wavelength

λ

of the final particle, is given by:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 20 - Dual Nature of Matter and Radiation>JEE Main - 8th April 2019 Shift 2>Q 51

A nucleus

A,

with a finite de-broglie wavelength

λ_{A},

undergoes spontaneous fission into two nuclei

B

and

C

of equal mass.

B

flies in the same direction as that of

A,

while

C

flies in the opposite direction with a velocity equal to half of that of

B .

The de-Broglie wavelengths

λ_{B}

and

λ_{C}

of B and C are respectively:

An electron (of mass m ) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ( c= speed of light in vacuum)

Important Questions on Dual Nature of Matter and Radiation

Learn and Prepare for any exam you want !

An electron (of mass $m$ ) and a photon have the same energy $E$ in the range of a few $e V$ . The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ( $c =$ speed of light in vacuum)