Question 1

Which of the following correctly represents the formula for de Broglieorm wavelength?

Accepted Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Question 2

What happens to the de Broglie wavelength of a particle as its velocity increases?

Accepted Answer

The wavelength decreases.

Answer

The wavelength increases.

Answer

The wavelength doubles.

Answer

The wavelength stays the same.

Question 3

For which type of particles is de Broglies wavelength most significant?

Accepted Answer

Particles with very small mass, such as electrons.

Answer

Particles moving at the speed of light.

Answer

Particles that are at rest.

Answer

Particles with large mass, such as baseballs.

Question 4

In the context of de Broglie's wavelength, what does the symbol

h

represent?

Accepted Answer

Planck's constant

Answer

The velocity of the particle

Answer

The mass of the particle

Answer

The wavelength of the particle

Question 5

Which of the following would result in a longer de Broglie wavelength for a particle?

Accepted Answer

Reducing the particle's velocity.

Answer

Increasing the particle's mass.

Answer

Increasing the particle's velocity.

Answer

Doubling both the mass and velocity of the particle.

Question 6

A particle moves with a momentum of

h

. What is its de Broglie wavelength if Planck's constant

h

is

6.63 	imes 10^{-34} \, 	ext{Js}

?

Accepted Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Answer

\lambda = \frac{h}{mv}

Question 7

Which principle explains why particles have a de Broglie wavelength?

Accepted Answer

Wave-particle duality

Answer

Pauli exclusion principle

Answer

Conservation of energy

Answer

Heisenberg uncertainty principle

Question 8

According to de Broglie, the wavelength of a particle is inversely proportional to which quantity?

Accepted Answer

Momentum

Answer

Velocity

Answer

Mass

Answer

Energy

Question 9

Given a particle with mass

h

and velocity

h

, what happens to the de Broglie wavelength if the mass of the particle is doubled while keeping the velocity constant?

Accepted Answer

The wavelength is halved.

Answer

The wavelength remains the same.

Answer

The wavelength is doubled.

Answer

The wavelength increases fourfold.

Question 10

If a proton and an electron have the same de Broglie wavelength, which statement is true about their momenta?

Accepted Answer

They have the same momentum.

Answer

The proton has a greater momentum.

Answer

Their momenta cannot be compared without additional information.

Answer

The electron has a greater momentum.

Question 11

How does the de Broglie wavelength of a particle change if its velocity is doubled?

Accepted Answer

The wavelength is halved.

Answer

The wavelength increases fourfold.

Answer

The wavelength remains the same.

Answer

The wavelength is doubled.

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