Two wave pulses travel in opposite directions on a string and approach each other. The shape of one pulse is inverted with respect to the other.

1. The pulses will collide with each other and vanish after collision

2. The pulses will reflect from each other, i.e., the pulse going towards right will finally move towards left and vice versa

3. The pulses will pass through each other but their shapes will be modified

4. The pulse will pass through each other without any change in their shapes

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