Match the following: Column - I Column - II (a) Transverse wave through a steel rod (i) B + 4 3 η ρ (b) Longitudinal waves in earth's crust (ii) η ρ (c) Longitudinal waves through a steel rod (iii) 2 π T g λ (d) Ripples (iv) λ ρ

( a − i i ) , ( b − i ) , ( c − i v ) , ( d − i i i )

( a − i ) , ( b − i i i ) , ( c − i v ) , ( d − i i )

( a − i i i ) , ( b − i v ) , ( c − i ) , ( d − i i )

( a − i i ) , ( b − i v ) , ( c − i ) , ( d − i i i )

EASY

Earn 100

Define

amplitude of $S . H . M .$

Important Questions on Wave Motion on a String

HARD

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A ball is moving uniformly in a circular path of radius

1 m

with a time period of

1.5 s

. If the ball is suddenly stopped at

t = 8.3 s,

the magnitude of the displacement of the ball with respect to its position at

t = 0 s

is closest to:

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

The driver of bus approaching a big wall notices that the frequency of his bus's horn changes from

420 Hz

490 Hz

when he hears it after it gets reflected from the wall. Find the speed of the bus if speed of the sound is

330 {ms}^{- 1}

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A transverse wave propagating along $x$ -axis is represented by

$y (x, t) = 8.0 \sin (0.5 π x - 4 π t - \frac{π}{4})$

where $x$ is in meters and $t$ is in seconds. The speed of the wave is

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

On an average, a human heart is found to beat

72

times a minute. Its frequency and period are

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

The figure below shows pressure variation in two different sound waves in air with time at a given position. Both the figures are drawn to the same scale.

Question Image

Which of the following statement is true?

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A bomb blasts on moon. Its sound will be heard on earth after

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

In a resonance tube experiment when the tube is filled with water up to a height of

17.0 cm,

from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of

24.5 cm .

If the velocity of sound in air is

330 m s^{- 1},

the tuning fork frequency is :

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

The transverse displacement at position $x$ and time $t$ in a string due to a travelling wave is given by $y (x, t) =$ $3.0 \cos (π x - 4 π t) cm$ , where $x$ is in centimeters and $t$ is in seconds. Which of the following statements is wrong?

Question Image

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A simple wave motion is represented by $y = 5 (\sin 4 π t + \sqrt{3} \cos 4 π t)$ . Its amplitude is

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A progressive wave travelling along the positive

x -

direction is represented by

y (x, t) = A s i n (k x - ω t + ϕ)

. Its snapshot at

t = 0

is given in the figure.
Question Image

For this wave, the phase

ϕ

is:

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

Which of the following equations represents a travelling wave?

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A travelling harmonic wave is represented by the equation

y (x, t) = 10^{- 3} \sin (50 t + 2 x),

where

x

and

y

are in meter and

t

is in seconds. Which of the following is a correct statement about the wave?

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A sound wave of frequency

245 Hz

travels with the speed of

300 {m s}^{- 1}

along the positive x-axis. Each point of the wave moves to and fro through a total distance of

6 cm

. What will be the mathematical expression of this travelling wave?

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A pendulum vibrates with a time period of

1

second. The sound produced in it is in the range of

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

To propagate both longitudinal and transverse waves, a material must have

EASY

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

Which of the following is not a transverse wave?

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

Match the following:

	Column $- I$		Column $- II$
(a)	Transverse wave through a steel rod	(i)	$\sqrt{B + (\frac{4}{3}) \frac{η}{ρ}}$
(b)	Longitudinal waves in earth's crust	(ii)	$\sqrt{\frac{η}{ρ}}$
(c)	Longitudinal waves through a steel rod	(iii)	$\sqrt{\frac{2 π T}{g λ}}$
(d)	Ripples	(iv)	$\sqrt{\frac{λ}{ρ}}$

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

Assume that the displacement

(s)

of air is proportional to the pressure difference

(Δ p)

created by a sound wave. Displacement

(s)

further depends on the speed of sound

(v)

, density of air

(ρ)

and the frequency

(f)

. If

Δ p = 10 Pa, n = 300 m s^{- 1}, p = 1 kg m^{- 3}

and

f = 1000 Hz

, then

s

will be of the order of (take the multiplicative constant to be

1

)

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A transverse wave of frequency

500 Hz

and speed

100 m s^{- 1}

is travelling in the positive,

x

direction on a long string. A time

t = 0 s

the displacements at

x = 0.0 m

and at

x = 0.25 m

are

0.0 m

and

0.02 m,

respectively. The displacement at

x = 0.2 m

t = 5 \times 10^{4} s

is,

MEDIUM

Physics>Oscillations and Waves>Wave Motion on a String>Terms in Wave Motion

A transverse wave travels on a taut steel wire with a velocity of

v

when tension in it is

2.06 \times 10^{4} N .

When the tension is changed to

T,

the velocity changed to

\frac{v}{2} .

The value of

T

is close to:

Define amplitude of S.H.M.

Important Questions on Wave Motion on a String

Learn and Prepare for any exam you want !

Define

amplitude of $S . H . M .$