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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

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
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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
Please attempt this question first.
Hints
Please attempt this question first.

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
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

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%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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
Please attempt this question first.
Hints
Please attempt this question first.

The fundamental frequencies of a closed pipe and an open pipe are identical. The first overtone for the closed pipe is \(f_c\) and for the open pipe is \(f_o.\) Their ratio \(\frac{f_c}{f_o}\) is:
1. \(1\) 2. \(\dfrac12\)
3. \(\dfrac23\) 4. \(\dfrac32\)
Subtopic:  Standing Waves |
 68%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

advertisementadvertisement

Sinusoidal sound waves of the same frequency travelling in air along the \(x\)-axis and the \(y\)-axis arrive in phase with each other at the origin. Their amplitudes are equal to \(A\) (each). The amplitude of the vibration at the origin is:
             

1. \(A\)
2. \(\sqrt 2A\)
3. \(2A\)
4. \((2+\sqrt2)A\)
Subtopic:  Wave Motion |
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.