A sinusoidal waveform is travelling along the \(x \)-axis. The phase difference between two particles separated by \(10\) cm is \(\frac\pi{2}{}.\) The wavelength of the wave is:
1. \(20\) cm
2. \(30\) cm
3. \(40\) cm
4. \(80\) cm

Subtopic:  Wave Motion |
 89%
From NCERT
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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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NEET 2023 - Target Batch - Aryan Raj Singh
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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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NEET 2023 - Target Batch - Aryan Raj Singh
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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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NEET 2023 - Target Batch - Aryan Raj Singh
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A waveform given by:    \(y=3A\sin(\omega t-kx)\)
is superposed with another waveform \(y=4A\cos(\omega t-kx).\) The amplitude of the resulting waveform will be:
1. \(7A\) 
2. \(A\)
3. \(3.5A\) 
4. \(5A\) 
Subtopic:  Wave Motion |
 85%
From NCERT
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The length of a wire between the two ends of a sonometer is \(100\) cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio \(1:3:5\)?
1. \(\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm} \)
2. \(\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm} \)
3. \(\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm} \)
4. \(\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}\)
Subtopic:  Standing Waves |
From NCERT
NEET - 2013
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Two sources \(\text{P}\) and \(\text{Q}\) produce notes of frequency \(660~\text{Hz}\) each. A listener moves from \(\text{P}\) to \(\text{Q}\) with a speed of \(1\) m/s. If The speed of sound is \(330\) m/s, then number of beats heard by the listener per second will be:
1. \(4\)
2. \(8\)
3. \(2\)
4. zero
Subtopic:  Doppler's Effect (OLD NCERT) |
From NCERT
NEET - 2013
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The equation of vibration of a taut string, fixed at both ends, is given by:    
\(y=(4~\text{mm})~\cos\Big(\frac{\pi x}{30~\text{cm}}\Big)~\sin\Big(400\pi~ \text{s}^{-1}t\Big) \)

The speed of waves on the string is:
1. \(30\) m/s
2. \(60\) m/s
3. \(90\) m/s
4. \(120\) m/s
Subtopic:  Standing Waves |
 86%
From NCERT
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The first overtone of a closed pipe has a frequency \(f_c.\) A frequency that is \(2f_c\) can be excited from an open pipe of the same length but vibrating in its: 
1. \(2^{\text{nd}}\) harmonic 2. \(3^{\text{rd}}\) harmonic
3. \(6^{\text{th}}\) harmonic 4. \(12^{\text{th}}\) harmonic
Subtopic:  Standing Waves |
 65%
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A string fixed at both ends is under tension \(T.\) It has a length \(L,\) and mass \(m.\) The fundamental frequency of the vibration is: 
1. \({ 1 \over 2L} \sqrt {T\over m}~~~~~~~~~~~~~~\) 2. \(\frac{1}{4 L} \sqrt{\frac{T}{m}}~~~~~~~~~~~~~~\)
3. \(\frac{1}{2} \sqrt{\frac{TL}{2m}}\) 4. \(\frac{1}{2} \sqrt{\frac{T}{m L}}\)
Subtopic:  Travelling Wave on String |
 56%
From NCERT
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