Question 1

Which of the following statements best distinguishes a wave from a particle?

Accepted Answer

A wave can interfere with other waves at the same location.

Question 2

A mechanical wave on a string transports:

Accepted Answer

Only energy.

Question 3

Which equation correctly gives the speed $$v of a $$wave on a stretched string with tension $$F$$ and mass per unit length $$\mu$$?

Accepted Answer

$$v = \sqrt{F / \mu}$$

Question 4

A sinusoidal wave is described by $$y(x, t) = A \cos(kx - \omega t). $$What is the transverse velocity $$v_y(x, t) of a $$particle at position $$x$$ and time $$t$$?

Accepted Answer

$$v_y(x, t) = -A \omega \sin(kx - \omega t)$$

Question 5

A primary (P) seismic wave is characterized by:

Accepted Answer

Longitudinal motion and a speed of 7–8 km/s.

Question 6

The mathematical form $$y(x, t) = f(x - vt)$$ describes:

Accepted Answer

A wave pulse moving to the right.

Question 7

For a standing wave on a string fixed at both ends, the distance between two adjacent nodes is:

Accepted Answer

$$\lambda / 2$$

Question 8

The average power transmitted by a harmonic wave on a string is given by:

Accepted Answer

$$P_{av} = \frac{1}{2} \mu \$$omega^2$$ v A^2$

Question 9

A wave pulse reflects from a fixed end. What happens to the pulse?

Accepted Answer

It is reflected with a phase shift of $$180^\circ ($$inverted).

Question 10

The superposition principle for waves states that:

Accepted Answer

The resultant wave is the sum of the individual waves.

Question 11

A string of length $$L$$ fixed at both ends vibrates in its third harmonic. What is the wavelength $$\lambda of $$the standing wave?

Accepted Answer

$$\lambda = 2L/3$$

Question 12

The intensity $$I of a $$spherical wave at a distance $$r$$ from a point source emitting power $$P is$$:

Accepted Answer

$$I = \frac{P}{4 \pi r^2$}$$

Question 13

A string under tension $$F$$ and mass per unit length $$\mu is $$vibrating in its fundamental mode. What is the frequency $$f_1$$?

Accepted Answer

$$f_1$$ = \frac{v}{2L}$$

Question 14

Which of the following is true for the acceleration $$a_y(x, t) of a $$particle in a sinusoidal wave $$y(x, t) = A \cos(kx - \omega t)$$?

Accepted Answer

$$a_y(x, t) = -\$$omega^2$$ y(x, t)$$

Question 15

If two waves of equal amplitude and frequency travel in opposite directions on a string, the resulting wave is:

Accepted Answer

A standing wave.

Question 16

A wave pulse on a string moves from a light string to a heavier string. What happens to the reflected pulse?

Accepted Answer

It is reflected with inversion (phase shift of $$180^\circ).$$

Question 17

The equation $$\frac{\$$partial^2$$ y(x, t)}{\partial x^2$} = \frac{1}{v^2$} \frac{\$$partial^2$$ y(x, t)}{\partial t^2$} is $$known as:

Accepted Answer

The linear wave equation.

Question 18

A string of length $$L is $$fixed at both ends. Which of the following is the correct expression for the wavelength $$\lambda_n of $$the $$nth $$normal mode?

Accepted Answer

$$\lambda_n = \frac{2L}{n}$$

Question 19

Which of the following is NOT a mechanical wave?

Accepted Answer

Radio wave.

Question 20

A wave generator produces a wave with frequency $$f$$ and wavelength $$\lambda on a $$string. What is the speed $$v of $$the wave?

Accepted Answer

$$v = f \lambda$$

Mechanische Golven: Eigenschappen, Beschrijving en Energieoverdracht

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