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An elastic string has a force constant $k$ and mass $m$ . The string hangs vertically and a block of unknown mass is attached to its bottom end. It is known that the mass of the block is much greater than that of the string. The hanging block stretches the string the twice it's the relaxed length. How long $(t)$ would it take for a low amplitude transverse pulse to travel the length of the string stretched by the hanging block? (Assume that the string follows Hook's law)

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Important Questions on Waves

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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:

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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:

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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?

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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>Waves>Speed of a Travelling Wave

The mass per unit length of a uniform wire is

0.135 g {cm}^{- 1}

. A transverse wave of the form

y = - 0.21 \sin (x + 30 t)

is produced in it, where

x

is in meter and

t

is in second. Then, the expected value of tension in the wire is

x \times 10^{- 2} N

. Value of

x

is (Round-off to the nearest integer)

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

When light wave travels from air to glass

HARD

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

A block

M

hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength

λ_{0}

is produced at point O on the rope. The pulse takes time

T_{O A}

to reach point A. If the wave pulse of wavelength

λ_{0}

is produced at point A (Pulse 2) without disturbing the position of M it takes time

T_{O A}

to reach point O. Which of the following options is/are correct?
Question Image

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

The distance between two successive minima of a transverse wave is

2.7 m

. Five crests of the wave pass a given point along the direction of travel every

15.0 s

. The speed of the wave is

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by

4 %

, will be ___

%

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

The amplitude of wave disturbance propagating in the positive

x

-direction is given by

y = \frac{1}{(1 + x)^{2}}

at time

t = 0

and

y = \frac{1}{1 + (x - 2)^{2}}

t = 1 s

, where

x

and

y

are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be

m s^{- 1} .

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

The wavelength of a wave is

3 m

. If the velocity of the wave is

330 {ms}^{- 1}

, then find the frequency of that wave. Calculate the time period if the frequency of that wave is reduced to half of its value.

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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>Waves>Speed of a Travelling Wave

A person has a hearing range from

20 Hz - 20 KHz

. The typical wavelengths of sound waves in air corresponding to these two frequencies are: (speed of sound in air is

344 m s^{- 1}

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

An observer on the sea shore observes

54

waves reaching the coast per minute. If the wavelength is

10 m

, the velocity of the wave is

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

Given below are two different graphs of variation of density (or pressure) of the medium with position in figure

(1)

and with time in figure

(2)

as a wave passes through the medium.
Question Image

What will be the speed of the wave in the given medium?

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

A steel wire of

0.72 m

long has a mass of

5 \times 10^{- 3} kg

. If the wire is under a tension of

60 N

. What is the speed of transverse waves on the wire?

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

A sound wave travelling in water has wavelength

0.4 m

. Is this wave audible in air? (The speed of sound in water

= 1400 m s^{- 1}

)

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

The speed of sound in an elastic string when it is extended by $x m$ is $v .$ If it is further extended to $3 x m,$ the speed of the sound becomes

EASY

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

A steel wire has a length of

90 cm

which is under a constant tension of

100 N .

The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel wire to be

6 \times 10^{- 3} kg

)

MEDIUM

Physics>Oscillations and Waves>Waves>Speed of a Travelling Wave

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:

Important Questions on Waves

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