Reflection and Transmission of Waves

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JEE Advanced 1999

LEVELJEE Advanced

A long wire $P QR$ is made by joining two wires $P Q$ and $QR$ of equal radii. $P Q$ has length $4.8 m$ and mass $0.06 kg$ . $QR$ has length $2.56 m$ and mass $0.2 kg$ . The wire $P QR$ is under a tension of $80 N$ . A sinusoidal wave pulse of amplitude $3.5 cm$ is sent along the wire $P Q$ from the end $P$ . No power is dissipated during the propagation of the wave pulse. Calculate (a) the time taken by the wave pulse to reach the other end $R$ and (b) the amplitude of the reflected and transmitted wave pulse after the incident wave pulse crosses the joint $Q$ .

JEE Advanced 1998

A string of length $0.4 m$ and mass $1 0^{- 2} kg$ is tightly clamped at its ends. The tension in the string is $1.6 N$ . Identical wave pulses are produced at one end at equal intervals of time $Δ t$ . The minimum value of $Δ t$ , which allows constructive interference between successive pulses, is

0.05 s

0.10 s

0.20 s

0.40 s

JEE Advanced 1991

LEVELJEE Advanced

The displacement of the medium in a sound wave is given by the equation $y_{i} = A cos (a x + b t)$ where $A$ , $a$ and $b$ are positive constants. The wave is reflected by an obstacle situated at $x = 0$ . The intensity of the reflected wave is $0.64$ times that of the incident wave. (a) What are the wavelength and frequency of incident wave? (b) Write the equation for the reflected wave. (c) In the resultant wave formed after reflection, find the maximum and minimum values of the particle speeds in the medium. (d) Express the resultant wave as a superposition of a standing wave and a travelling wave. What are the positions of the antinodes of the standing wave? What is the direction of propagation of travelling wave?

JEE Advanced 2012

A person blows into open-end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,

* Multiple Correct Options

a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is open.

a low-pressure pulse starts travelling up the pipe, if the other end of the pipe is open.

a low-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.

a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.

JEE Advanced (1984)

A source of sound of frequency $600 Hz$ is placed inside water. The speed of sound in water is $1500 m/s$ and in air it is $300 m/s$ . The frequency of sound recorded by an observer who is standing in air is