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 standing wave is produced on a string clamped at one end and free at the other. The length of the string:

In a stationary wave,

(a) all the particles of the medium vibrate in phase

(b) all the antinodes vibrate in phase

(c) the alternate antinodes vibrate in phase

(d) all the particles between consecutive nodes vibrate in phase

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. all of these

An open organ pipe of length \(L\) vibrates in its fundamental mode. The pressure variation is maximum:

An organ pipe, open at both ends, contains

1. longitudinal stationary waves

2. longitudinal travelling waves

3. transverse stationary waves

4. transverse travelling waves

A cylindrical tube, open at both ends, has a fundamental frequency v. The tube is dipped vertically in water so that half of its length is inside the water. The new fundamental frequency is

1. v/4

2. v/2

3. v

4. 2v