A string with a mass \(2.50~\text{kg}\) is under a tension of \(200~\text{N}\). The length of the stretched string is \(20.0~\text{m}\). If the transverse jerk is struck at one end of the string, how long does it take for the disturbance to reach the other end?
1. \(0.5~\text{s}\)
2. \(0.6~\text{s}\)
3. \(0.4~\text{s}\)
4. \(0.1~\text{s}\)

Subtopic:  Travelling Wave on String |
 66%
From NCERT
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A stone dropped from the top of a tower of height \(300\) m splashes into the water of a pond near the base of the tower. When is the splash heard at the top?
(Given that the speed of sound in air is \(340\) m/s and \(g=9.8\) m/s2)
1. \(7.7\)
2. \(8.7\)
3. \(6.7\)
4. \(7.8\)

Subtopic:  Speed of Sound |
 64%
From NCERT
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A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air at \(20^{\circ}\mathrm{C}\) (which is  343 m/sec)?
1. 4.3×103 N

2. 3.2×104 N

3. 2.06×104 N

4. 1.2×104 N
 

Subtopic:  Travelling Wave on String |
 74%
From NCERT
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The speed of sound in air is:

1. dependent on pressure.
2. decreases with temperature.
3. independent of temperature.
4. increases with humidity.
Subtopic:  Speed of Sound |
 61%
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A bat emits an ultrasonic sound of frequency 1000 kHz in the air. If the sound meets a water surface, what is the wavelength of the reflected sound? (The speed of sound in air is 340 m/sec and in water is 1486 m/sec)
1. \(3.4 \times 10^{-4}~\text{m}\)
2. \(1 . 49 \times 10^{- 3}  ~ \text{m}\)
3. \(2 . 34 \times 10^{- 2}   ~\text{m}\)
4. \(1 . 73 \times10^{- 3}   ~\text{m}\)

Subtopic:  Speed of Sound |
 55%
From NCERT
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A bat emits an ultrasonic sound of frequency \(1000~\text{kHz}\) in the air. If the sound meets a water surface, what is the wavelength of the refracted sound?
(speed of sound in air is \(340~\mathrm{m/s}\)
 and in water \(1486~\mathrm{m/s}\))

1. \(3.4 \times 10^{-4} \mathrm{~m} \) 2. \(1.4 \times 10^{-3} \mathrm{~m} \)
3. \(2.5 \times 10^{-4} \mathrm{~m} \) 4. \(1.8 \times 10^{-3} \mathrm{~m}\)
Subtopic:  Speed of Sound |
 57%
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A hospital uses an ultrasonic scanner to locate tumors in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is \(1.7~\text{km/s}\)? The operating frequency of the scanner is \(4.2~\text{MHz}\).
1. \(3.0 \times10^{-4}~\text{m}\)
2. \(4.0 \times10^{-4}~\text{m}\)
3. \(3.5 \times10^{-4}~\text{m}\)
4. \(2.0 \times10^{-4}~\text{m}\)

Subtopic:  Speed of Sound |
 77%
From NCERT
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A transverse harmonic wave on a string is described by, \(y(x,t) = 3.0 sin ( 36t + 0.018x + {\pi \over 4})\) where x and are in cm and in sec. The positive direction of x is from left to right. What is the shortest distance between two successive crests in the wave?

1. 1.3 m 2. 3.0 m
3. 2.5 m 4. 3.5 m
Subtopic:  Wave Motion |
 67%
From NCERT
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For the travelling harmonic wave, \(y(x,t) = 2.0\ cos\ 2\pi (10t - 0.0080x + 0.35 )\) where \(x\) and \(y\) are in \(\text{cm}\) and \(t\) is in seconds. The phase difference between the oscillatory motion of two points separated by a distance of \(4~\text{m}\) will be:
1. \(0.8 \pi\ \text{rad}\)

2. \(\pi\ \text{rad}\)
3. \(6.4\pi\ \text{rad}\)
4. 
\(4\pi\ \text{rad}\)

Subtopic:  Wave Motion |
 66%
From NCERT
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The transverse displacement of a string (clamped at both ends) is given by;
\(y(x,t)=0.06\sin\Big(\frac{2\pi}{3}x\Big)\cos(120\pi t)\)
where \(x\) and \(y\) are in metre and \(t\) in second. The length of the string is \(1.5\) m and its mass is \(3\times10^{-2}\) kg. The tension in the string is:
1. \(540\) N
2. \(648\) N
3. \(200\) N
4. \(425\) N
Subtopic:  Speed of Sound |
 85%
From NCERT
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