Which one of the following statements is true?

1.	Both light and sound waves in the air are transverse.
2.	The sound waves in the air are longitudinal while the light waves are transverse.
3.	Both light and sound waves in the air are longitudinal.
4.	Both light and sound waves can travel in a vacuum.

The speed of sound in nitrogen gas compared to that in helium gas at 300 K is:

1. $\sqrt{\frac{2}{7}}$

2. $\sqrt{\frac{1}{7}}$

3. $\frac{\sqrt{3}}{5}$

4. $\frac{\sqrt{6}}{5}$

A triangular transverse wave is propagating in the positive X-direction. The velocity of P at this instant will be:

1. vertically upward.
2. vertically downward.
3. at rest.
4. cannot be determined.

The mathematical forms for three sinusoidal traveling waves are given by: 

Wave 1 : y(x,t) = (2cm) sin(3x–6t)
Wave 2 : y(x,t) = (3cm) sin(4x–12t)
Wave 3 : y(x,t) = (4cm) sin(5x–11t)


where x is in meters and t is in seconds. Of these waves :

A string of length 3 m and a linear mass density of 0.0025 kg/m is fixed at both ends. One of its resonance frequencies is 252 Hz. The next higher resonance frequency is 336 Hz. Then the fundamental frequency will be:
1. 84 Hz 

2. 63 Hz

3. 126 Hz 

4. 168 Hz

A transverse wave propagating along the x-axis is represented by:
\(y=(x,t)=8.0\mathrm{sin}(0.5\pi x-4\pi t-\frac{\pi}{4})\) where \(x\) is in meters and \(t\) in seconds. The speed of wave is: 
1. \(4\pi\) m/s
2. \(0.5\) m/s
3. \(\frac{\pi}{4}\) m/s
4. \(8\) m/s

Two sound waves with wavelengths 5.0 m and 5.5 m, respectively, propagate in gas with a velocity of 330 m/s. How many beats per second can we expect?

1. 12

2. 0

3. 1

4. 6

Each of the two strings of lengths 51.6 cm and 49.1 cm is tensioned separately by 20 N of force. The mass per unit length of both strings is the same and equals 1 g/m. When both the strings vibrate simultaneously, the number of beats is:

A wave in a string has an amplitude of 2 cm. The wave travels in the positive direction of the x-axis with a speed of 128 m/s and it is noted that 5 complete waves fit in the 4 m length of the string. The equation describing the wave is:

A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. $\pi$A/2

2. $\pi$A

3. 2$\pi$A

4. A