Speed Equation of Waves

Q. A certain transverse sinusoidal wave of wavelength 20 cm is moving in the positive x direction. The transverse velocity of the particle at x = 0 as a function of time is shown. The amplitude of the motion is:

1. 
2. 
3. 
4. 

Q. If the medium changes, the frequency of the wave remains the same but its speed changes because apart from frequency, the wave speed also depends on:

1. Frequency
2. Wavelength
3. Amplitude
4. All of them

Q.

A wave pulse on a string moves a distance of $8m$ in $0.05s$.

(i) Find the velocity of the pulse.

(ii) What would be the wavelength of the wave on the string if its frequency is $200Hz$?

Q.

The wavelength of waves produced by a source is 50 cm. If wave velocity is 25 $\frac{m}{s}$, what is the time required for one wave?

1. 0.02 s

2. 0.04 s

3. 0.06 s

4. 0.03 s

Q.

If the wavelength of a sound wave is 40 cm and the time period T = 0.005 s, how many seconds will it take to travel 4 km?

1. 5 seconds

2. 10 seconds

3. 20 seconds

4. 50 seconds

Q.

The given graph shows the displacement versus time relation for a wave travelling with a velocity of $1500m{s}^{-1}$ . Calculate the wavelength of the disturbance.

1. 1 mm

2. 1.5 mm

3. 3 mm

4. 4.5 mm

Q.

A sound wave has a frequency of $1000Hz$ and a wavelength of $34cm$. How long will it take to travel $1km$?

1. $3.20s$

2. $2.94s$

3. $5.94s$

4. $3.10s$

Q. A sound source sends waves of 400 Hz. In a medium, this sound has a wavelength of 2.5 m. Find the speed of sound waves in the medium.

1. $100m{s}^{-1}$
2. $1000m{s}^{-1}$
3. $10000m{s}^{-1}$
4. $3000m{s}^{-1}$

Q.

The given graph shows the displacement versus time relation for a disturbance travelling with velocity of 1500 ms−1 . Calculate the wavelength of the disturbance.

Q. Wavelength ($\lambda$), frequency $\left(f\right)$ and velocity $\left(v\right)$ of a sound wave are related as:

1. $\frac{\lambda }{f}=v$
2. $\lambda \times v=f$
3. $f\times v=\frac{1}{\lambda }$
4. $\lambda =v\times \frac{1}{f}$

Q. A guitar produces a sound which has a frequency of $300Hz$ and a wavelength of $1.3m$. Calculate the speed with which this sound travels.

1. $300m{s}^{-1}$
2. $280m{s}^{-1}$
3. $400m{s}^{-1}$
4. $390m{s}^{-1}$

Q.

What is the relationship between wavelength and frequency of a wave, if its velocity is constant?

1. Wavelength is directly proportional to the frequency.

2. Wavelength is directly proportional to the square of the frequency.

3. Wavelength is twice the frequency.

4. Wavelength is inversely proportional to the frequency.