A closed pipe of length 10 cm has its fundamental frequency equal to half of that of the second overtone of an open pipe. The length of the open pipe:

(1) 10 cm

(2) 20 cm

(3) 30 cm

(4) 40 cm

The vibrations of four air columns under identical conditions are represented in the figure below. The ratio of frequencies $n_p : n_q : n_r : n_s$ will be:

(1) 12: 6: 3: 4

(2) 1: 2: 4: 3

(3) 4: 2: 3: 1

(4) 6: 2: 3: 4

In the resonance tube, two successive positions of resonance are obtained at 15 cm and 48 cm. If the frequency of the fork is 500 cps, the velocity of sound is:

(1) 330 m/s

(2) 300 m/s

(3) 1000 m/s

(4) 360 m/s

Select the correct statement about the reflection and refraction of a wave at the interface between the medium 1 and 2.

(1) Reflected wave has a phase change of $\mathrm{\pi }$ with the incident wave.

(2) Wavelength of the reflected wave is less than that of the incident wave.

(3) Frequency of the transmitted wave is the same as that of the incident wave.

(4) Frequency of wave changes as per nature of the boundary.

Water waves are:

1. Transverse

2. Longitudinal

3. Combination of longitudinal and transverse waves

3. Neither transverse nor longitudinal

The property of a medium necessary for wave propagation is its:

1. Inertia

2. Elasticity

3. Low resistance

4. All of above

By which of the following waves, energy is not carried?

1. Stationary waves

2. Longitudinal progressive waves

3. Transverse progressive waves

4. Electromagnetic waves

The wavelength of a sound wave in gas is:

1. The distance between compression and rarefaction propagating in the medium.

2. The distance traveled by the wave in one second.

3. The distance between two consecutive particles of the medium oscillating in the same phase.

4. None of the above

With propagation of longitudinal waves through a medium, the quantity transmitted is:

1. matter

2. energy

3. energy and matter

4. energy, matter, and momentum

Which of the following statements is true for wave motion?

1. Mechanical transverse waves can propagate through all mediums.

2. Longitudinal waves can propagate through solids only.

3. Mechanical transverse waves can propagate through solids only.

4. Longitudinal waves can propagate through vacuum.