A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
        
1. \(2\sqrt2~\text{mm}\)
2. \(4~\text{mm}\)
3. \(\sqrt2~\text{mm}\)
4. \(2\sqrt3~\text{mm}\)

Subtopic:  Standing Waves |
 53%
From NCERT
NEET - 2022
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An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400\) Hz in its fundamental mode. If it is filled with the same gas at \(90^\circ \text{C},\) the resonance frequency at the same mode will be:
1. \(420\) Hz 2. \(440\) Hz
3. \(484\) Hz 4. \(512\) Hz
Subtopic:  Standing Waves |
 66%
From NCERT
NEET - 2022
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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is: 
1. \(1:2\)
2. \(1:1\)
3. \(\sqrt{2}:1\)
4. \(1:\sqrt{2}\)
Subtopic:  Travelling Wave on String |
 69%
From NCERT
NEET - 2022
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The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:
1. \(3:1\) 2. \(1:2\)
3. \(2:1\) 4. \(1:3\)
Subtopic:  Standing Waves |
 55%
From NCERT
NEET - 2023
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The \(4^\mathrm{th}\) overtone of a closed organ pipe is the same as that of the \(3^\mathrm{rd}\) overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:
1. \(8:9\)     2. \(9:7\)    
3. \(9:8\) 4. \(7:9\)
Subtopic:  Standing Waves |
 70%
From NCERT
NEET - 2023
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If the equation of a wave is represented by:

y = 10-4 sin(100t - x10)m, then the velocity of wave will be:
1.  100 m/s
2.  4 m/s
3.  1000 m/s
4.  0.00 m/s

Subtopic:  Wave Motion |
 89%
From NCERT
AIPMT - 2001
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Two waves have the following equations:

x1 = a sin (ωt + ϕ1)
x2 = a sin (ωt + ϕ2)

If in the resultant wave, the frequency and amplitude remain equal to the amplitude of superimposing waves, then the phase difference between them will be:

1.  π6

2. 2π3

3. π4

4. π3

Subtopic:  Standing Waves |
 74%
From NCERT
AIPMT - 2001
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If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved, then its fundamental frequency will become:

1. n4

2.  2 n 

3.  n 

4.  n2

Subtopic:  Standing Waves |
 65%
From NCERT
AIPMT - 2001
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If a wave is travelling in a positive X-direction with A = 0.2 m, velocity = 360 m/s, and λ = 60 m, then the correct expression for the wave will be:

1.  \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\)
2. \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\)
3. \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\)
4. \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\)
Subtopic:  Wave Motion |
 85%
From NCERT
AIPMT - 2002
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The phase difference between two waves, represented by
y1=106sin{100t+(x/50)+0.5}my2=106cos{100t+(x50)}m
where X is expressed in metres and t is expressed in seconds, is approximate:
1. 2.07 radians
2. 0.5 radians
3. 1.5 radians
4. 1.07 radians

Subtopic:  Wave Motion |
 59%
From NCERT
AIPMT - 2004
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