A sound wave is travelling in a medium. If equation of displacement wave in the medium is given by y = 2 cos 2 π x - 100 π t + π 2 then equation of pressure waves will be ( B → Bulk modulus of medium)

P = 4 B π cos 2 π x - 100 π t

P = 4 B π sin 2 π x - 100 π t

P = 4 B π sin 2 π x + 100 π t

P = 4 B π cos 2 π x + 100 π t

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Two identical wires fixed at both ends vibrate with fundamental frequency of $200 Hz .$ If the tension in one of the wire is changed by $2 %$ , then the beat frequency (per second) will be

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Important Questions on Waves

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 6

A closed organ pipe resonates in its fundamental mode at a frequency of

300 Hz

with He gas filled in the pipe. If another identical closed pipe is filled with Ar gas and is made to vibrate, then its fundamental frequency will be

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 7

One end of a metal pipe of length

660 m

is struck a blow. A listener at the other end hears two sound at an interval of

1.89

seconds. The density of steel is

8 \times 10^{3} kg m^{- 3}

and the velocity of sound in air is

330 m s^{- 1} .

Find the modulus of elasticity of the steel.

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 8

Two sound sources emitting plane waves separated by

12

meter vibrates according to law

y_{1} = 3 \sin 4 π t

and

y_{2} = 4 \sin 4 π t

respectively. A point in the medium is at a position

8 m

from first source and

4 m

from second on the line joining two sources. The sources send out waves of velocity

32 m s^{- 1} .

Find equation of the motion of the particles. (

y_{1}, y_{2}

are in centimeter and

t

is in second)

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 11

Equation of standing waves in a string under tension,

T = 10 N

is given by

Y = 2 \sin (10 π x) \sin (100 π t) cm

(

x

is in

m

and

t

is in second). Linear mass density of string is

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 12

A sound wave is travelling in a medium. If equation of displacement wave in the medium is given by

y = 2 \cos (2 π x - 100 π t + \frac{π}{2})

then equation of pressure waves will be (

B \to

Bulk modulus of medium)

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 13

A sinusoidal wave is propagating through a medium in the direction of negative

x

-axis. The parameters of the waves are

A, ω

and

k .

If the particles at

x = \frac{λ}{4}

executes the motion

y (t) =

A \sin ω t

then possible equation of the wave is

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 14

Consider an incident wave pulse which is travelling along the negative

x

-axis in the string

(1)

as shown in figure. One end of the string is joined with another heavy string

(2)

whose other ends is fixed at

O

on a rigid vertical wall as shown in figure. Mass per unit length of string

(1)

and

(2)

are

μ

and

2 μ

respectively. If equation of incident wave is

y_{i} = A_{i} \sin (k x + ω t + \frac{π}{4})

, then equation of reflected wave which is reflected from rigid wall will be (

A_{R}

is the amplitude of reflected wave)
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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 15

If two sound waves

y_{1} = A_{1} \sin (100 π t - k_{1} x + \frac{π}{4})

and

y_{2} = A_{2} \sin (102 π t - k_{2} x + \frac{π}{3})

travelling in a medium reaches directly to an observer (situated at

x = 0

) at

t = 0

, then minimum time after which sound intensity become maximum to the observer will be

Two identical wires fixed at both ends vibrate with fundamental frequency of 200 Hz. If the tension in one of the wire is changed by 2%, then the beat frequency (per second) will be

Important Questions on Waves

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Two identical wires fixed at both ends vibrate with fundamental frequency of $200 Hz .$ If the tension in one of the wire is changed by $2 %$ , then the beat frequency (per second) will be