# 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 |
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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 |
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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 |
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Which of the following is a mechanical wave?

 1 Radio waves 2 X-rays 3 Light waves 4 Sound waves
Subtopic:  Types of Waves |
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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 |
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Two strings $$A$$ and $$B,$$ made of same material, are stretched by same tension. The radius of string $$A$$ is double of the radius of $$B.$$ A transverse wave travels on $$A$$ with speed $$v_A$$ and on $$B$$ with speed $$v_B.$$ The ratio $$\frac{v_A}{v_B}=$$ ?

 1 $$\frac{1}{2}$$ 2 $$2$$ 3 $$\frac{1}{4}$$ 4 $$4$$
Subtopic:  Speed of Sound |
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Both the strings, shown in the figure, are made of the same material and have the same cross-section. The pulleys are light. The wave speed of a transverse wave in the string $$AB$$ is $$v_1$$ and in $$CD$$ it is $$v_2$$. Then $$\dfrac{v_1}{v_2}$$ is:

 1 $$1$$ 2 $$2$$ 3 $$\sqrt2$$ 4 $${1}/{\sqrt{2}}$$
Subtopic:  Speed of Sound |
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Velocity of sound in air is $$332$$ m/s. Its velocity in the vacuum will be:
1. $$>332$$ m/s
2. $$=332$$ m/s
3. $$<332$$ m/s
4. meaningless

Subtopic:  Types of Waves |
62%
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A wave pulse, travelling on a two-piece string, gets partially reflected and partially transmitted at the junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelength $$\lambda$$ and the transmitted wave$$\lambda$$',

1. $$\lambda$$' > $$\lambda$$

2. $$\lambda$$' = $$\lambda$$

3. $$\lambda$$' < $$\lambda$$

4. nothing can be said about the relation of $$\lambda$$ and $$\lambda$$'

Subtopic:  Speed of Sound |
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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 |
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