Two periodic waves of amplitudes A₁ and A₂ pass through a region. If A₁ > A₂, the difference in the maximum and minimum resultant amplitude possible is

1. 2A₁

2. 2A₂

3. A₁ + A₂

4. A₁ - A₂

Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is

1. 0

2. A

3. 2A

4. between 0 and 2A

Two sine waves travel in the same direction in a medium. The amplitude of each wave is \(A\) and the phase difference between the two waves is \(120^\circ.\) The resultant amplitude will be:
1. \(A\)
2. \(2A\)
3. \(4A\)
4. \(\sqrt2 A\)

The fundamental frequency of a string is proportional to:

A tuning fork of frequency 480 Hz is used to vibrate a sonometer wire having natural frequency 240 Hz. The wire will vibrate with a frequency of

1. 240 Hz

2. 480 Hz

3. 720 Hz

4. will not vibrate

A tuning fork of frequency \(480\) Hz is used to vibrate a sonometer wire having natural frequency \(410\) Hz. The wire will vibrate with a frequency:

A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416 Hz. If the length is doubled keeping other things same, the string will

1. vibrate with a frequency of 416 Hz

2. vibrate with a frequency of 208 Hz

3. vibrate with a frequency of 832 Hz

4. stop vibrating

A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 Hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

1. 1 kg

2. 2 kg

3. 8 kg

4. 16 kg

A mechanical wave propagates in a medium along the X-axis. The particles of the medium

(a) must move on the X-axis

(b) must move on the Y-axis

(c) may move on the X-axis

(d) may move on the Y-axis

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. All of these

A transverse wave travels along the Z-axis. The particles of the medium must move: