EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Mechanical Wave>JEE Advanced Paper 1 - 2017>Q 10

HARD

JEE Advanced

IMPORTANT

Earn 100

A block $M$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength $λ_{0}$ is produced at point O on the rope. The pulse takes time $T_{O A}$ to reach point A. If the wave pulse of wavelength $λ_{0}$ is produced at point A (Pulse 2) without disturbing the position of M it takes time $T_{O A}$ to reach point O. Which of the following options is/are correct?

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Important Questions on Mechanical Wave

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Mechanical Wave>JEE Advanced Paper 1 - 2016>Q 12

Two loudspeakers

M

and

N

are located

20 m

apart and emit sound at frequencies

118 Hz

and

121 Hz

, respectively. A car is initially at a point

P

,

1800 m

away from the midpoint

Q

of the line

M N

and moves towards

Q

constantly at

60 km h^{- 1}

along the perpendicular bisector of

M N

. It crosses

Q

and eventually reaches a point

R

,

1800 m

away from

Q

. Let

ν (t)

represent the beat frequency measured by a person sitting in the car at time

t

. Let

ν_{p}, ν_{Q} and ν_{R}

be the beat frequencies measured at locations

P, Q

and

R

, respectively. The speed of sound in air is

330 m s^{- 1} .

Which of the following statement(s) is (are) true regarding the sound heard by the person?

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Mechanical Wave>JEE Advanced Paper 1 - 2014>Q 13

A student is performing an experiment using a resonance column and a tuning fork of frequency

244 s^{- 1}

. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is

(0.350 \pm 0.005) m

, the gas in the tube is (Useful information:

\sqrt{167 R T} = 640 J^{\frac{1}{2}} m o l^{- \frac{1}{2}}; \sqrt{140 R T} = 590 J^{\frac{1}{2}} m o l^{- \frac{1}{2}}

. The molar masses

M

in grams are given in the options. Take the values of

\sqrt{\frac{10}{M}}

for each gas as given there.)

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Mechanical Wave>JEE Advanced Paper 1 - 2014>Q 14

One end of a taut string of length 3m along the x axis is fixed at x = 0. The speed of the waves in the string is

100 m s^{- 1}

. The other end of the string is vibrating in the y direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary waves is (are)

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Mechanical Wave>JEE Advanced Paper 1 - 2013>Q 15

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation,

y (x, t) = (0 .01 m) sin [(62.8 m^{-1}) x] cos [(628 s^{-1}) t]

. Assuming

π = 3.14

, the correct statement(s) is (are):