The electric field of a plane electromagnetic wave is given by E → = E 0 x ^ + y ^ sin k z - ω t . Its magnetic field will be given by

E 0 c - x ^ + y ^ sin k z - ω t

HARD

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A transverse wave is represented by $y = A \sin (ω t - k x)$ . The wave velocity and the maximum particle velocity will be equal at the wavelength of

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Important Questions on Wave Motion on a String

HARD

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

Sound travels in a mixture of two moles of helium and

n

moles of hydrogen. If rms speed of gas molecules in the mixture is

\sqrt{2}

times the speed of sound, then the value of

n

will be

EASY

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

A hospital uses an ultrasonic scanner to locate tumors in a tissue. The operating frequency of the scanner is

4.2 MHz .

The speed of sound in a tissue is

1.7 km / s .

The wavelength of sound in the tissue is

EASY

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

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

MEDIUM

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

A transverse wave is represented by :

y = \frac{10}{π} sin (\frac{2 π}{T} t - \frac{2 π}{λ} x)

For what value of the wavelength the wave velocity is twice the maximum particle velocity?

MEDIUM

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

A uniform rope of length

L

and mass

m_{1}

, hangs vertically from a rigid support. A block of mass

m_{2}

is attached to the free end of the rope. A transverse pulse of wavelength

λ_{1}

is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

λ_{2}

. The ratio

\frac{λ_{2}}{λ_{1}}

is:

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?

MEDIUM

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

Let the speed of sound at

0 ° C

332 {m s}^{- 1}

. On a winter day sound travels

342 m

in one second. The atmospheric temperature on that day is

EASY

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

A simple harmonic progressive wave is represented as

y = 0.03 s i n π (2 t - 0.01 x) m

. At a given instant of time, the phase difference between two particles

25 m

apart is

MEDIUM

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

A transverse wave propagating on a stretched string of linear density $3 \times 10^{- 4} {kgm}^{- 1}$ is represented by the equation

$y = 0.2 \sin (1.5 x + 60 t)$

where, $x$ in metres and $t$ is in seconds. The tension in the string (in Newton) is

EASY

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

Sound waves of wavelength

λ

and velocity

v

in medium-

1

enter medium-

2

. If their velocity in medium-

2

4 v

, the wavelength in medium-

2

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

MEDIUM

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

A string of length

1 m

and mass

5 g

is fixed at both ends. The tension in the string is

8 .0 N

. The string is set into vibration using an external vibrator of frequency

100 Hz

. The separation between successive nodes on the string is close to

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:

MEDIUM

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

A heavy ball of mass

M

is suspended from the ceiling of a car by a light string of mass

m (m ≪ M) .

When the car is at rest, the speed of transverse waves in the string is

60 m s^{- 1}

. When the car has acceleration

a

, the wave-speed increases to

60.5 m s^{- 1}

. The value of

a

in terms of gravitational acceleration

g

is closed to:

MEDIUM

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

Given below in the left column are different modes of communication using the kinds of waves given in the right column.

(1) Optical Fibre Communication	(P) Ultrasound
(2) Radar	(Q) Infrared Light
(3) Sonar	(R) Microwaves
(4) Mobile Phones	(S) Radio Waves

From the options given below, find the most appropriate match between entries in the left and the right column.

MEDIUM

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

The electric field of a plane electromagnetic wave is given by $\vec{E} = E_{0} (\hat{x} + \hat{y}) \sin (k z - ω t)$ . Its magnetic field will be given by

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:

EASY

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

It takes

2.0

seconds for a sound wave to travel between two fixed points when the day temperature is

10 ° C

. If the temperature rises to

30 ° C

, the sound wave travels between the same fixed parts in

MEDIUM

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

The pressure wave,

P = 0.01 \sin [1000 t - 3 x] N m^{- 2}

, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is

0 ° C

. On some other day when temperature is

T

, the speed of sound produced by the same blade and at the same frequency is found to be

336 m s^{- 1}

. Approximate value of

T

is:

MEDIUM

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

A tunning fork of frequency

480 H z

is used in an experiment for measuring speed of sound

(v)

in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column,

l_{1} = 30 c m

and

l_{2} = 70 c m .

Then,

ν

is equal to:

A transverse wave is represented by y=A sin (ωt – kx). The wave velocity and the maximum particle velocity will be equal at the wavelength of

Important Questions on Wave Motion on a String

Learn and Prepare for any exam you want !

A transverse wave is represented by $y = A \sin (ω t - k x)$ . The wave velocity and the maximum particle velocity will be equal at the wavelength of