If a travelling wave pulse is given by \(y=\frac{20}{4+(x+4 t)^2}~\text{m}\), then:

1. the pulse is traveling along the negative x axis.
2. the speed of the pulse is \(4\) m/s.
3. the amplitude of the pulse is \(5\) m.
4. all of these.

Subtopic:  Wave Motion |
 85%
From NCERT
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Two wires, A and B, of a musical instrument 'Sitar' produce 3 beats per second. If the tension of B is raised, the number of beats becomes 1 beat per second. If the frequency of A is 450 Hz, then the original frequency of B will be:

1. 447 Hz

2. 453 Hz

3. 449 Hz

4. 451 Hz

Subtopic:  Beats |
 75%
From NCERT
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A cylindrical tube open at both ends has a fundamental frequency f0 in the air. The tube is dipped vertically in water such that half its length is inside water. The fundamental frequency of the air column now will be:

1. 3f04

2. f0

3. f02

4. 2f0

Subtopic:  Standing Waves |
 68%
From NCERT
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The maximum possible wavelength in an open organ pipe of length l is:

1. l 2. 2l
3. 3l 4. 4l
Subtopic:  Standing Waves |
 69%
From NCERT
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The equation of a stationary wave is given as y=A sin 0.5πt cos(0.2πx),  where t is in seconds and x in centimetres. Which of the following is correct?

1. Wavelength of the component waves is 10 cm.
2. The separation between a node and the nearest antinode is 2.5 cm.
3. Frequency of the component wave is 0.25 Hz.
4. All of these

Subtopic:  Standing Waves |
 89%
From NCERT
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The equation of a travelling wave is given as y=Asin(40πt-0.2πx), where is in seconds and x in metres. The minimum distance between two particles oscillating in the same phase is:

1. 10 m

2. 5 m

3. 2 m 

4. 1.5 m

Subtopic:  Wave Motion |
 68%
From NCERT
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Two sound waves given by the equations \(y=A\sin 122 \pi t\) and \(y=A\sin 128 \pi t\) pass through a point simultaneously. The number of beats per second is:

1. \(6\) 2. \(5\)
3. \(4\) 4. \(3\)
Subtopic:  Beats |
 82%
From NCERT
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The graph between fundamental frequency (\(f\)) and corresponding tension (\(T\)) in a sonometer wire is best-represented by:

1. 2.
3. 4.
Subtopic:  Travelling Wave on String |
 51%
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Stationary waves are formed on a stretched string. If the wavelength is λ, then the distance between two points having the maximum displacement can be:

1. 3λ/2 2.
3. 5λ/2 4. All of these
Subtopic:  Standing Waves |
 66%
From NCERT
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Given the equation for a wave on the string, y = 0.5 sin(5x - 3t) where y and x are in metres and t in seconds, the ratio of the maximum speed of particle to the speed of wave is:

1. 1:1 2. 5:2
3. 3:2 4. 4:5
Subtopic:  Wave Motion |
 83%
From NCERT
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