A sine wave is travelling in a medium. The minimum distance between the two particles, always having the same speed, is:

1. \(\lambda/4\) 2. \(\lambda/3\)
3. \(\lambda/2\) 4. \(\lambda\)
Subtopic:  Wave Motion |
 66%
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A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. The particle closest to it having zero displacement is at a distance:

1. \(\lambda\)/4 2. \(\lambda\)/3
3. \(\lambda\)/2 4. \(\lambda\)
Subtopic:  Wave Motion |
 71%
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Which of the following equations represents a wave travelling along \(\mathrm{Y}\)-axis?
1. \(x=A ~sin(ky-\omega t)\)
2. \(y=A ~sin(kx-\omega t)\)
3. \(y=A ~sinky~ cos \omega t\)
4. \(y=A ~cosky~ sin \omega t\)

Subtopic:  Wave Motion |
 57%
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The equation y = A sin2 (kx-wt) represents a wave motion with

1. amplitude A, frequency w/2\(\pi\)

2. amplitude A/2, frequency w/\(\pi\)

3. amplitude 2A, frequency w/4\(\pi\)

4. does not represent a wave motion

Subtopic:  Wave Motion |
From NCERT
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A cork floating in a calm pond executes simple harmonic motion of frequency \(\nu\) when a wave generated by a boat passes by it. The frequency of the wave is:
1. \(\nu\)
2. \(\nu/2\)
3. \(2\nu\)
4. \(\sqrt2\)\(\nu\)

Subtopic:  Wave Motion |
 68%
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Two waves represented by; \(y=a\text{sin}(\omega t-kx)\) and \(y=a\text{cos}(\omega t-kx)\) are superposed. The resultant wave will have an amplitude:
1. \(a\)
2. \(\sqrt{2} a\)
3. \(2a\)
4. \(0\)

Subtopic:  Wave Motion |
 84%
From NCERT
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Two wires A and B, having identical geometrical construction, are stretched from their natural length by small but equal amount. The Young modulus of the wires are YA and YB whereas the densities are ρAB. A transverse signal started at one end takes a time t1 to reach the other end for A and t2 for B.

1. t1 < t2

2. t1 = t2

3. t1 > t2

4. the information is insufficient to find the relation between t1 and t2

Subtopic:  Wave Motion |
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Two sine waves travel in the same direction in a medium. The amplitude of each wave is \(A\) and the phase difference between the two waves is \(120^\circ.\) The resultant amplitude will be:
1. \(A\)
2. \(2A\)
3. \(4A\)
4. \(\sqrt2 A\)

Subtopic:  Wave Motion |
 85%
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A mechanical wave propagates in a medium along the X-axis. The particles of the medium

(a) must move on the X-axis

(b) must move on the Y-axis

(c) may move on the X-axis

(d) may move on the Y-axis

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. All of these

Subtopic:  Wave Motion |
 70%
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A transverse wave travels along the Z-axis. The particles of the medium must move:

1. along the Z-axis 2. along the X-axis
3. along the Y-axis 4. in the X-Y plane
Subtopic:  Wave Motion |
 82%
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