Dual Nature of Radiation and Matter Test

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Dual Nature of Radiation and Matter Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

The mass of a photon electron is

A
$$9.1\times 10^{-27}kg$$

B
$$9.1\times 10^{-29}kg$$

C
$$9.1\times 10^{-31}kg$$

D
$$9.1\times 10^{-34}kg$$

Solution

The mass of a photon electron is $$9.1\times 10^{-31}\ \ kg$$.
Question 2
1 / -0

Photon and electron are given energy $$\left( {{{10}^{ - 2}}J} \right).$$ Wavelengths associated with photon and electeon are $${\lambda _{ph}}$$ and $${\lambda _{el}},$$ then correct statement will be

A
$${\lambda _{ph}} > {\lambda _{el}}$$

B
$${\lambda _{ph}} < {\lambda _{el}}$$

C
$${\lambda _{ph}} = {\lambda _{el}}$$

D
$$\dfrac{{{\lambda _{el}}}}{{{\lambda _{ph}}}} = c$$

Solution

The wavelength of the photon will be greater than that of the electron because the mass of a photon is less than that of an electron.
$$\Rightarrow \lambda_{ph} > \lambda_el$$
Question 3
1 / -0

Mark the correct option of source which is associated with a line emission spectrum :

A
Electric Fire

B
Neon street sign

C
Red traffic light

D
Sun
Solution
- Neon lighting consists of brightly glowing, electrified glass tubes or bulbs that contain rarefied neon or other gases.
- Neon lights are a type of cold cathode gas-discharge light.
- Hence neon street sign are associated with line emission spectrum
- Option B is the right answer
Question 4
1 / -0

A particle at rest decays into two particles of masses 2 m and
3 m having non-zero velocities. The ratio of DE-Imbroglio wavelength of the particle is

A
$$3 : 2$$

B
$$1 : 1$$

C
$$1 : 3$$

D
$$\sqrt{2} : 1$$

Solution

$$\lambda \propto {1 \over m}$$

$${{{\lambda _1}} \over {{\lambda _2}}} = {{{m_2}} \over {{m_1}}} = {{3m} \over {2m}}$$

$$ = 3:2$$
Question 5
1 / -0

Photoelectric effect was successfully explained first by

A
Planck

B
Hallwash

C
Hertz

D
Einsterin

Solution

Photoelectric effect was successfully explained first by Einstein.
Question 6
1 / -0

Einstein got Nobel prize on which of the following works

A
Mass energy relation

B
Special theory equation

C
Photoelectric equation

D
(a) and (b) both

Solution

Albert Einstein was awarded Nobel prize in $$1921$$ for discovering the photoelectric effect.
Question 7
1 / -0

Kinetic energy with the electrons are emitted from the metal surface due to photoelectric effect is

A
Independent of the intensity of illumination

B
Independent of the frequency of light

C
inversely proportional to the intensity of illumination

D
Directly proportional to the intensity of illumination

Solution

Kinetic energy of photoelectrons depends on the frequency of incident radiation and and is independent of the intensity of illumination.
Question 8
1 / -0

The work function of aluminium is $$4.2\ eV$$.If two photons each of energy $$3.5\ eV$$ strike an electron of aluminium, then emission of electrons will be

A
Possible

B
Not possible

C
Data is incomplete

D
Depend upon the density of the surface

Solution

For the emission of electrons incident energy of each photon must be greater than the work function (thresholds energy). soo, in this case, the emission of electrons will be not possible.
Question 9
1 / -0

With the decrease in the wave length of the incident radiation the velocity of the photoelectrons emitted from a given metal

A
Remains same

B
Increases

C
Decreases

D
Increases first and then decreases

Solution

As wavelength decrease , frequency increases and hence K.E of photoelectrons increases , thereby increasing the velocity.
Question 10
1 / -0

The deBroglie wavelength associated with a particle of mass m, moving with a velocity $$'v\ '$$ and energy E is given by

A
$$\dfrac{h}{mv^{2}}$$

B
$$\dfrac{mv}{h^{2}}$$

C
$$\dfrac{h}{\sqrt{2mE}}$$

D
$$\sqrt{2mE}/h$$

Solution

We know,
$$\dfrac{1}{2}mv^{2}=E$$
$$mv=\sqrt{2Em}$$
so debroglie wavelength $$(\lambda)=\dfrac{h}{mv}$$
$$=\dfrac{h}{\sqrt{{2E}m}}$$

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Dual Nature of Radiation and Matter Test - 22

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Dual Nature of Radiation and Matter Test - 22

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Question 1

$$9.1\times 10^{-27}kg$$

$$9.1\times 10^{-29}kg$$

$$9.1\times 10^{-31}kg$$

$$9.1\times 10^{-34}kg$$

Solution

Question 2

$${\lambda _{ph}} > {\lambda _{el}}$$

$${\lambda _{ph}} < {\lambda _{el}}$$

$${\lambda _{ph}} = {\lambda _{el}}$$

$$\dfrac{{{\lambda _{el}}}}{{{\lambda _{ph}}}} = c$$

Solution

Question 3

Electric Fire

Neon street sign

Red traffic light

Sun

Solution

Question 4

$$3 : 2$$

$$1 : 1$$

$$1 : 3$$

$$\sqrt{2} : 1$$

Solution

Question 5

Planck

Hallwash

Hertz

Einsterin

Solution

Question 6

Mass energy relation

Special theory equation

Photoelectric equation

(a) and (b) both

Solution

Question 7

Independent of the intensity of illumination

Independent of the frequency of light

inversely proportional to the intensity of illumination

Directly proportional to the intensity of illumination

Solution

Question 8

Possible

Not possible

Data is incomplete

Depend upon the density of the surface

Solution

Question 9

Remains same

Increases

Decreases

Increases first and then decreases

Solution

Question 10

$$\dfrac{h}{mv^{2}}$$

$$\dfrac{mv}{h^{2}}$$

$$\dfrac{h}{\sqrt{2mE}}$$

$$\sqrt{2mE}/h$$

Solution

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