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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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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Important Questions on Waves

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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

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 16

Which of the following is not the equation of standing wave?

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 17

If equation of a wave in a string is given as

y = 2 \cos (\frac{2 π}{3} x + \frac{π}{4}) \sin (50 π t + \frac{π}{3})

, (where

x

and

y

are in

cm

and

t

is in sec), then phase difference between two particles on the string, one at

x = \frac{3}{9} cm

and other at

x = \frac{30}{9} cm

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 1

The equation of a wave, giving the displacement

y

is given by

y = 10^{- 3} \sin (120 t + 3 x)

where,

x

and

y

are in metre and

t

is in second. This equation represents a wave

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 3

A transverse sinusoidal wave of amplitude

a

, wavelength

λ

and frequency

f

is travelling on a stretched string. The maximum speed of any point on the string is

\frac{V}{10}

, where

V

is the speed of propagation of the wave. If

a = 10^{- 3} m

and

V = 10 m s^{- 1}

then

λ

and

f

are given by

Equation of standing waves in a string under tension, T=10 N is given by Y=2sin10πxsin100πt cm (x is in m and t is in second). Linear mass density of string is

Important Questions on Waves

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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