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Q. No.A transverse harmonic wave on a string is described by \(y(x,~t)=3.0 ~\sin(36t+0.018x+\pi/4),\) where \(x\) and \(y\) are in cm and \(t\) is in \(\text s.\) The positive direction of \(x\) is from left to right.
Choose the correct option:
| (a) | The wave is travelling from right to left. |
| (b) | The speed of the wave is \(20~\text{m/s}.\) |
| (c) | The frequency of the wave is \(5.7~\text{Hz}.\) |
| (d) | The least distance between two successive crests in the wave is \(5.7~\text{cm}.\) |
Choose the correct option:
| 1. | (a), (c) | 2. | (a), (b), (c) |
| 3. | (b), (d) | 4. | (d) only |
Subtopic: Standing Waves |
59%
From NCERT
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The displacement of a string is given by \(y (x,t) = 0.06 ~\sin (2πx/3) ~\cos (120πt)\) where \(x\) and \(y\) are in m and \(t\) in s. The length of the string is \(1.5\) m and its mass is \(3.0\times 10^{-2}~\text{kg}\).
Choose the correct option:
| 1. | It represents a progressive wave of frequency \(60\) Hz. |
| 2. | It represents a stationary wave of frequency \(60\) Hz. |
| 3. | It is the result of superposition of two waves of wavelength \(3\) m, frequency \(60\) Hz each travelling with a speed of \(180\) m/s in opposite direction. |
| 4. | Amplitude of this wave is constant. |
Choose the correct option:
| 1. | (a), (c) | 2. | (a), (b), (c) |
| 3. | (b), (c) | 4. | (d) only |
Subtopic: Standing Waves |
73%
From NCERT
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Which of the following statements are true for a stationary wave?
Choose the correct option:
1. (a), (c)
2. (a), (b), (d), (e)
3. (b), (d)
4. (c), (d)
| (a) | Every particle has a fixed amplitude which is different from the amplitude of its nearest particle. |
| (b) | All the particles cross their mean position at the same time. |
| (c) | All the particles are oscillating with same amplitude. |
| (d) | There is no net transfer of energy across any plane. |
| (e) | There are some particles which are always at rest. |
1. (a), (c)
2. (a), (b), (d), (e)
3. (b), (d)
4. (c), (d)
Subtopic: Standing Waves |
71%
From NCERT
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