When a string is divided into three segments of lengths l 1 , l 2 and l 3 the fundamental frequencies of these three segments are ν 1 , ν 2 and ν 3 respectively. The original fundamental frequency ν of the string is

1 ν = 1 ν 1 + 1 ν 2 + 1 ν 3

A travelling harmonic wave is represented by the equation y x , t = 10 - 3 sin 50 t + 2 x , where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

The wave is propagating along the negative x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 100 m s - 1

The wave is propagating along the negative x -axis with speed 100 m s - 1

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 15

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A massless rod $B D$ is suspended by two identical massless strings $A B$ and $C D$ of equal lengths. A block of mass $m$ is suspended point $P$ such that $B P$ is equal to $x$ , if the fundamental frequency of the left wire is twice the fundamental frequency of right wire, then the value of $x$ is

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Important Questions on Wave Motion on a String

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 16

If the ratio of amplitudes of two waves at any point in the medium is

1 : 3

, then the ratio of maximum and minimum intensities due to their superposition will be

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 17

Two waves of equal amplitude

A

, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 18

The following figure depicts a wave travelling in a medium. Which pair of particles are in phase.

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 19

The rate of transfer of energy in a wave depends on

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 20

A wave moving with a constant speed on a uniform string passes the point

x = 0

with amplitude

A_{0}

, angular frequency

ω_{0}

and average rate of energy transfer

P_{0}

. As the wave travels down the string, it gradually loses energy and at the point

x = l

, the average rate of energy transfer becomes

\frac{P_{0}}{2}

. At the point

x = l

, angular frequency and amplitude are, respectively

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 21

A transverse sinusoidal wave moves along a string in the positive $x$ -direction at a speed of $10 cm s^{- 1}$ . The wavelength of the wave is $0.5 m$ and its amplitude is $10 cm$ . At a particular time $t$ , the snap-shot of the wave is shown in the figure The velocity of the point $P$ when its displacement is $5 cm$ is.