# 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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Consider two waves passing through the same string. Principle of superposition for displacement says that the net displacement of a particle on the string is sum of the displacements produced by the two waves individually. Suppose we state similar principles for the net velocity of the particle and the net kinetic energy of the particle. Such a principle will be valid for:

 1 both the velocity but not for the kinetic energy 2 the velocity but not for the kinetic energy 3 the kinetic energy but not for the velocity 4 neither the velocity nor the kinetic energy

Subtopic:  Travelling Wave on String |
53%
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Two wave pulses travel in opposite directions on a string and approach each other. The shape of one pulse is inverted with respect to the other.

1. The pulses will collide with each other and vanish after collision

2. The pulses will reflect from each other, i.e., the pulse going towards right will finally move towards left and vice versa

3. The pulses will pass through each other but their shapes will be modified

4. The pulse will pass through each other without any change in their shapes

Subtopic:  Travelling Wave on String |
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Two periodic waves of amplitudes A1 and A2 pass through a region. If A1 > A2, the difference in the maximum and minimum resultant amplitude possible is

1. 2A1

2. 2A2

3. A1 + A2

4. A1 - A2

Subtopic:  Travelling Wave on String |
68%
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Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is

1. 0

2. A

3. 2A

4. between 0 and 2A

Subtopic:  Travelling Wave on String |
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