The fundamental frequency of a string is proportional to:

1. the inverse of its length
2. the diameter
3. the tension
4. the density

Subtopic:  Standing Waves |
 73%
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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

Subtopic:  Standing Waves |
 56%
From NCERT
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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:

1. \(410\) Hz 2. \(480\) Hz
3. \(820\) Hz 4. \(960\) Hz
Subtopic:  Standing Waves |
 53%
From NCERT
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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

Subtopic:  Standing Waves |
From NCERT
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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

Subtopic:  Standing Waves |
 54%
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A standing wave is produced on a string clamped at one end and free at the other. The length of the string:

1.  must be an integral multiple of \(\frac{\lambda}{4}\)
2.  must be an integral multiple of \(\frac{\lambda}{2}\)
3.  must be an integral multiple of \(\lambda\)
4. may be an integral multiple of \(\frac{\lambda}{2}\)
Subtopic:  Standing Waves |
 65%
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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

Subtopic:  Standing Waves |
 58%
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An open organ pipe of length \(L\) vibrates in its fundamental mode. The pressure variation is maximum:

1. at the two ends
2. at the middle of the pipe
3. at a distance \(\dfrac{L}{4}\) inside the ends
4. at a distance \(\dfrac{L}{8}\) inside the ends
Subtopic:  Standing Waves |
 58%
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An organ pipe, open at both ends, contains

1. longitudinal stationary waves

2. longitudinal travelling waves

3. transverse stationary waves

4. transverse travelling waves

Subtopic:  Standing Waves |
 57%
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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

Subtopic:  Standing Waves |
 71%
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