Dual Nature of Radiation and Matter Test

Result

Dual Nature of Radiation and Matter Test - 9

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Weekly Quiz Competition

Question 1
4 / -1

The de-Broglie wavelength of an electron moving with a velocity c / 2 (c = velocity of light in vacuum) is equal to the wavelength of a photon. The ratio of the kinetic energies of electron and photon is

A
1 : 4

B
1 : 2

C
1 : 1

D
2 : 1
Question 2
4 / -1

An electron and a proton are moving in the same direction with same kinetic energy. The ratio of the de-Broglie wavelength associated with these particles is

A

B

C

D

Solution
Question 3
4 / -1

An electron is accelerated under a potential difference of 182 V. The maximum velocity of electron will be (charge of an electron is 1.6 × 10^-19 C and its mass is 9.1 × 10^-31 kg)

A
5.65 × 10⁶ m/s

B
4 × 10⁶ m/s

C
8 × 10⁶ m/s

D
16 × 10⁶ m/s

Solution
Question 4
4 / -1

A
3

B
4

C
2

D
4.5
Question 5
4 / -1

The de-Broglie wavelength of the electron in the ground state of the hydrogen atom is (radius of the first orbit of hydrogen atom = 0.53 Å)

A
1.67 Å

B
3.33 Å

C
1.06 Å

D
0.53 Å
Question 6
4 / -1

If an electron and a photon propagates in the form of waves having the same wavelength, it implies that they have the same

A
energy

B
momentum

C
velocity

D
angular momentum
Question 7
4 / -1

If the linear momentum of a particle is 2.2 × 10 ⁴ kg-ms^-1, then what will be its de-Broglie wavelength ?
(take, h = 6.6 × 10 ^-34 J-s)

A
3 × 10 ^-29 m

B
3 × 10 ^-29 nm

C
6 × 10 ^-29 m

D
6 × 10 ^-29 nm

Solution
Question 8
4 / -1

Which of the following figures represents the variation of particle momentum and associated de-Broglie wavelength ?

A

B

C

D
Question 9
4 / -1

Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is

A

B

C

D
λ₀ = λ
Question 10
4 / -1

Monochromatic light of wavelength 3000 Å is incident on a surface area 4 cm². If intensity of light is 150 mW m^-2 then, rate at which photons strike the target is

A
3 × 10¹⁰ s^-1

B
9 × 10¹³ s^-1

C
7 × 10¹⁵ s^-1

D
6 × 10¹⁹ s^-1