Dual nature of matter and de Broglie relation - One Line Questions
1.
What is the momentum of a photon with a wavelength of 500 nm? (h = 6.626 x 10^-34 J s, c = 3 x 10^8 m/s) —
1.325 x 10^-27 kg m/s
2.
What is the de Broglie wavelength of a proton (mass = 1.67 x 10^-27 kg) moving at a velocity of 1.0 x 10^5 m/s? —
3.96 x 10^-12 m
3.
Calculate the de Broglie wavelength of a tennis ball (mass = 58 g) hit with a velocity of 25 m/s. —
4.57 x 10^-34 m
4.
What is the de Broglie wavelength of a 1 kg object moving at 1 m/s? —
6.626 x 10^-34 m
5.
Calculate the de Broglie wavelength of an electron (mass = 9.11 x 10^-31 kg) moving at a velocity of 1.0 x 10^6 m/s. (h = 6.626 x 10^-34 J s) —
7.27 x 10^-10 m
6.
What is the de Broglie wavelength of a helium atom (mass ≈ 4 amu, 1 amu ≈ 1.66 x 10^-27 kg) moving at 1000 m/s? —
9.94 x 10^-11 m
7.
Who proposed the dual nature of matter, suggesting that particles like electrons can exhibit wave-like properties? —
Louis de Broglie
8.
Which of the following has the longest de Broglie wavelength, assuming they all have the same kinetic energy? —
A helium atom
9.
Which of the following particles will have the smallest de Broglie wavelength if they all possess the same momentum? —
A hydrogen molecule (H2)
10.
If the momentum of a particle is decreased by half, its de Broglie wavelength will: —
Be doubled
11.
If the velocity of a particle is reduced to one-third, its de Broglie wavelength will: —
Be tripled
12.
Which statement best explains why we don't observe the wave nature of everyday objects like cars? —
The de Broglie wavelength of cars is immeasurably small due to their large mass.
13.
The de Broglie hypothesis is a cornerstone of which quantum mechanical concept? —
Quantum Mechanics
14.
If a particle's velocity is doubled, its de Broglie wavelength will be: —
Halved
15.
For a photon, which equation relates its energy (E) and its frequency (ν)? —
E = hν
16.
Which phenomenon cannot be explained by the wave nature of matter? —
Photoelectric effect
17.
The de Broglie wavelength of a particle is inversely proportional to its: —
Momentum
18.
The de Broglie hypothesis helped in developing the model of the atom by: —
Introducing the concept of electron shells and quantized energy levels
19.
The de Broglie wavelength of a particle of mass 'm' and kinetic energy 'KE' is given by: —
h / sqrt(2*m*KE)
20.
The wave nature of matter is significant for particles that have: —
Low mass and low velocity
21.
If the momentum of a particle increases, its de Broglie wavelength will: —
Decrease
22.
If the mass of a particle increases by a factor of 4, and its velocity remains constant, the de Broglie wavelength will: —
Decrease by a factor of 4
23.
Which of the following statements is INCORRECT regarding the de Broglie wavelength? —
It is directly proportional to mass.
24.
The de Broglie wavelength of a particle is independent of: —
Its charge
25.
What is the de Broglie wavelength of a particle directly proportional to? —
Its momentum
26.
What is the unit of Planck's constant (h)? —
Joule-second (J s)
27.
The kinetic energy (KE) of a particle is related to its momentum (p) and mass (m) by the equation: —
KE = p^2 / (2m)
28.
What is the unit of momentum in SI units? —
Both A and C
29.
The concept of wave-particle duality was first experimentally verified for: —
Light
30.
The de Broglie hypothesis suggests that: —
Particles can exhibit wave-like behavior.
31.
The wave-particle duality means that matter exhibits both: —
Wave and particle properties
32.
The wave associated with a moving particle is called a: —
Matter wave
33.
The wave nature of matter is primarily described by the: —
De Broglie relation
34.
The de Broglie relation is applicable to: —
All matter particles
35.
The momentum of a photon can be expressed in terms of its energy (E) and the speed of light (c) as: —
p = E/c
36.
Which experimental evidence strongly supports the wave nature of electrons? —
Davisson-Germer experiment
37.
In the de Broglie equation, 'p' represents: —
The momentum of the particle
38.
Which of the following is NOT a fundamental constant used in the de Broglie relation? —
Speed of light (c)
39.
Which physical quantity is conserved in both wave and particle descriptions of matter? —
Momentum
40.
In the context of wave-particle duality, a particle's wave is often referred to as a: —
Probability wave
41.
The Davisson-Germer experiment demonstrated the wave nature of: —
Electrons
42.
If the kinetic energy of a particle is doubled, its de Broglie wavelength will change by a factor of: —
1/sqrt(2)
43.
In the de Broglie equation, 'h' represents: —
Planck's constant
44.
The square of the amplitude of the matter wave is proportional to: —
The probability density of finding the particle
45.
The uncertainty principle, formulated by Heisenberg, is a direct consequence of: —
The wave nature of matter
46.
The wave nature of macroscopic objects (like a baseball) is generally not observed because: —
They have very large mass, making their de Broglie wavelength extremely small.
47.
The de Broglie wavelength of an electron moving with a velocity 'v' is given by: —
λ = h / (m*v)
48.
Using the relationship between KE and momentum, the de Broglie wavelength can also be expressed as: —
λ = h / sqrt(2m*KE)
49.
The de Broglie wavelength (λ) of a particle is given by the equation: —
λ = h/p
50.
Combining E=hν and p=E/c, the de Broglie wavelength of a photon is given by: —
λ = h/p