Two periodic waves of amplitudes \(A_1\) and \(A_2\) pass through a region. If \(A_1>A_2​​\), the difference in the maximum and minimum resultant amplitude possible is: 
1. \(2A_1\) 
2. \(2A_2\) 
3. \(A_1+A_2​​\) 
4. \(A_1-A_2​​\)

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 supports a \(4~\text{kg}\) load and vibrates in fundamental mode with a tuning fork of frequency \(416~\text{Hz}.\) The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to:
1. \(1~\text{kg}\)
2. \(2~\text{kg}\)
3. \(8~\text{kg}\)
4. \(16~\text{kg}\)

A mechanical wave propagates in a medium along the \(\mathrm{X}\)-axis. The particles of the medium:

Choose the correct option from the given ones:

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