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Q. No.The wave described by \(y = 0.25\sin(10\pi x-2\pi t),\) where \(x\) and \(y\) are in metres and \(t\) in seconds, is a wave traveling along the:
1.
\(-\text{ve}~x\) direction with frequency \(1\) Hz.
2.
\(+\text{ve}~x\) direction with frequency \(\pi\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
3.
\(+\text{ve}~x\) direction with frequency \(1\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
4.
\(-\text{ve}~x\) direction with amplitude \(0.25\) m and wavelength \(\lambda = 0.2~\text{m}\).
Subtopic: Wave Motion |
84%
From NCERT
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The velocity of sound in air is:
| 1. | faster in dry air than in moist air. |
| 2. | directly proportional to the pressure. |
| 3. | directly proportional to temperature. |
| 4. | independent of the pressure of air. |
Subtopic: Speed of Sound |
54%
From NCERT
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The speed of sound at a constant temperature depends on:
| 1. | Pressure | 2. | Density of gas |
| 3. | Above both | 4. | None of the above |
Subtopic: Speed of Sound |
55%
From NCERT
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The displacement of a particle is given by \(y = 5\times 10^{-4}\sin(100t-50x),\) where \(x\) is in metres and \(t\) is in seconds. The velocity of the wave is:
1. \(5000~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.5~\text{m/s}\)
4. \(300~\text{m/s}\)
1. \(5000~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.5~\text{m/s}\)
4. \(300~\text{m/s}\)
Subtopic: Wave Motion |
89%
From NCERT
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The wave equations of two particles are given by \(y_1=a\sin(\omega t-kx), y_2 = a \sin(kx+\omega t),\) then:
| 1. | they are moving in the opposite direction. |
| 2. | the phase between them is \(90^{\circ}\). |
| 3. | the phase between them is \(45^{\circ}\). |
| 4. | the phase between them is \(0^{\circ}\). |
Subtopic: Wave Motion |
79%
From NCERT
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The equation of a progressive wave is given by \(y = 4\sin\left\{ \pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right\}\), where \(x\) and \(y\) are in metres and \(t\) in seconds.
Which of the following is correct?
1. \(v = 5~\text{m/s}\)
2. \(\lambda = 18~\text{m}\)
3. \(A = 0.04~\text{m}\)
4. \(\nu= 50~\text{Hz}\)
Which of the following is correct?
1. \(v = 5~\text{m/s}\)
2. \(\lambda = 18~\text{m}\)
3. \(A = 0.04~\text{m}\)
4. \(\nu= 50~\text{Hz}\)
Subtopic: Wave Motion |
85%
From NCERT
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Two waves are propagating to the point \(P\) along a straight line produced by two sources, \(A\) and \(B\), of simple harmonic and equal frequency. The amplitude of every wave at \(P\) is \(a\) and the phase of \(A\) is ahead by \(\frac{\pi}{3}\) than that of \(B\), and the distance \(AP\) is greater than \(BP\) by \(50~\text{cm}\). If the wavelength is \(1~\text{m}\), then the resultant amplitude at point \(P\) will be:
1. \(2a\)
2. \(a\sqrt{3}\)
3. \(a\sqrt{2}\)
4. \(a\)
1. \(2a\)
2. \(a\sqrt{3}\)
3. \(a\sqrt{2}\)
4. \(a\)
Subtopic: Standing Waves |
From NCERT
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Tuning fork \(F_1\) has a frequency of \(256~\text{Hz}\) and it is observed to produce \(6\) beats/second with another tuning fork \(F_2\). When \(F_2\) is loaded with wax, it still produces \(6\) beats/second with \(F_1\). The frequency of \(F_2\) before loading was:
1. \(253~\text{Hz}\)
2. \(262~\text{Hz}\)
3. \(250~\text{Hz}\)
4. \(259~\text{Hz}\)
1. \(253~\text{Hz}\)
2. \(262~\text{Hz}\)
3. \(250~\text{Hz}\)
4. \(259~\text{Hz}\)
Subtopic: Beats |
71%
From NCERT
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Two tuning forks, \(A\) and \(B\), vibrating simultaneously produce \(5\) beats. The frequency of \(B\) is \(512~\text{Hz}\). It is seen that if one arm of \(A\) is filed a little, then the number of beats increases. The frequency of \(A\) in Hz will be:
| 1. | \(502\) | 2. | \(507\) |
| 3. | \(517\) | 4. | \(522\) |
Subtopic: Beats |
70%
From NCERT
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The equation of a stationary wave is \(y = 0.8\cos\left(\frac{\pi x}{20}\right)\sin200(\pi t)\), where \(x\) is in cm and \(t\) is in sec. The separation between consecutive nodes will be:
1. \(20~\text{cm}\)
2. \(10~\text{cm}\)
3. \(40~\text{cm}\)
4. \(30~\text{cm}\)
1. \(20~\text{cm}\)
2. \(10~\text{cm}\)
3. \(40~\text{cm}\)
4. \(30~\text{cm}\)
Subtopic: Standing Waves |
77%
From NCERT
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