A source emits a sound of frequency of 400 Hz , but the listener hears its to be 390 Hz . Then

the listener is moving away from the source

the listener is moving towards the source

the source is moving towards the listener

the listener has a defective ear

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IMPORTANT

Earn 100

A $20 cm$ long string, having a mass of $1.0 g$ , is fixed at both ends. The tension in the string is $0.5 N$ . The string is set into vibration using an external vibrator of frequency $100 Hz$ . Find the separation (in $cm$ ) between the successive nodes on the string.

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Important Questions on Mechanical Wave

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 5

The figure shows a string of linear mass density $1.0 g {cm}^{- 1}$ on which a wave pulse is travelling. Find the time taken (in $mS$ ) by the pulse in travelling through a distance of $60 cm$ on the string. Take $g = 10 m s^{- 2}$ .

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IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 6

Equation of progressive wave is given by

y = a sinπ (\frac{t}{2} - \frac{x}{4})

, where

t

is in

second

and

x

is in

metre

. Then the distance through which the wave moves in

4 s

EASY

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IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 7

A uniform thin rope of length

12 m

and mass

6 kg

hangs vertically from a rigid support and a block of mass

2 kg

is attached to its free end. A transverse short wave train of wavelength

6 cm

is produced at the lower and the rope. What is the wavelength of the wave train (in

cm

) when it reaches the top of the rope?

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 8

The equation of a progressive wave is,

y = 0.02 \sin 2 π [\frac{t}{0.01} - \frac{x}{0.3}]

where,

x

and

y

are in

meters

and

t

is in

second

. The velocity of propagation of the wave is,

EASY

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IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 9

The ends of a stretched wire of length

l

are fixed at

x = 0

and

x = l

. In one experiment, the displacement of the wire is

y_{1} = a \sin (\frac{π x}{l}) (\sin ω t)

and energy

E_{1}

and in another experiment, its displacement is

y_{2} = a \sin (\frac{3 π x}{l}) (\sin 3 ω t)

and energy is

E_{2}

then

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Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 10

The figure shows a sine wave travelling towards $+ x$ direction through a tight wire. The velocity of particle situated at point $P$ , at the given instant will be towards:

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IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 11

Ultrasonic waves of frequency

3 \times 10^{5} Hz

are passed through a medium where the speed of sound is

10

times that in air (speed of sound in air is

300 m s^{- 1}

). The wavelength of this wave in that medium will be of the order of,

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 12 - Mechanical Wave>Level 1>Q 12

A travelling wave on a string is given by

y = A \sin [α x + β t + \frac{π}{6}]

. The displacement and velocity of oscillation of a point

α = 0.56 {cm}^{- 1}

β = 12 \sec^{- 1}

A = 7.5 cm

x = 1 cm

and

t = 1 s

A 20 cm long string, having a mass of 1.0 g, is fixed at both ends. The tension in the string is 0.5 N. The string is set into vibration using an external vibrator of frequency 100 Hz. Find the separation (in cm) between the successive nodes on the string.

Important Questions on Mechanical Wave

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A $20 cm$ long string, having a mass of $1.0 g$ , is fixed at both ends. The tension in the string is $0.5 N$ . The string is set into vibration using an external vibrator of frequency $100 Hz$ . Find the separation (in $cm$ ) between the successive nodes on the string.