# 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 |
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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 |
87%
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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 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 |
64%
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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 |
63%
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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 |
51%
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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%
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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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