A uniform rope of length 12 m and mass 6...

A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope ?

0.012m

0.06m

0.24m

0.12m

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

RACE
ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos
RACE
ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
RACE
ALLEN |Exercise Basic Maths (Oscillations) (Simple pendulum and types of SHM)|17 Videos
NEWTONS LAWS OF MOTION
ALLEN |Exercise EXERCISE-III|28 Videos
SIMPLE HARMONIC MOTION
ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A uniform rope of length L and mass m, 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 lamda_(1) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lamda_(2). . The ratio lamda_(2)//lamda_(1) is ......

A uniform rope having some mass hinges vertically from a rigied support. A transverse wave pulse is produced at the lower end. The speed (v) of the wave pulse varies with height (h) from the lower end as :-

A steel wire of length 5 m and diameter 10^(-3) m is hanged vertically from a ceiling of 5.22 m height. A sphere of radius 0.1 m and mass 8tt kg is tied to the free end of the wire. When this sphere is oscillated like a simple pendulum, it touches the floor of the room in its velocity of the sphere in its lower most position. Calculate the velocity of the sphere in its lower Young's modulus for in its lower most position. Young's modulus for steel =1.994 xx 10 ^(11) Nm ^(-2).

A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end ?

A man of mass m stands on a frame of mass M. He pulls on a light rope, which passes over a pulley. The other end of the rope is attached to the frame. For the system to be in equilibrium, what force must the man exert on the rope?

A mass of 6 kg is suspended by a rope of length 2m from a celling. A force of 50N is applied in horizontal direction at the mid point of the rope. What is the angle of the rope with the verticle in equilibrium:-

A string of mass 2.50kg is under a tension of 200N. The length of the stretched string is 20.0m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

(a) A steel wire of mass u per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform an lateral strains lt lt longitudinal strains find the extension in the length of the wire. The density of steel is 7860 kgm ^(-3) and Young's modulus =2 xx 10 ^(11) Nm ^(-2) (b) If the yield strength of steel is 2.5 xx 10 ^(8) Nm ^(-2), what is the maximum weight that can be hung at the lower end of the wire ?

A mass of 3 kg is attached at end of rope with 6 kg mass. At upper end of rope tension will be …... .

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m . Force P is applied at one end of rope. The force which the rope exerts on the block is:

ALLEN -RACE-Basic Maths (Wave Motion & Dopplers Effect) (Fundamental)

Two particle of medium disturbed by the wave propagation are at x(1)=0...
Text Solution
|
Two small boats are 10m apart on a lake. Each pops up and down with a ...
Text Solution
|
A uniform rope of mass M=0.1kg and length L=10m hangs from the celling...
Text Solution
|
A uniform rope of length 12 m and mass 6 kg hangs vertically from a ri...
Text Solution
|
The displacement wave in a string is y=(3 cm)sin6.28(0.5x-50t) where x...
Text Solution
|
A sinusoidal wave propagates along a string. In figure (a) and (b) 'y'...
Text Solution
|
Graph shows three waves that are separately sent along a string that i...
Text Solution
|
The following figure depicts a wave travelling in a medium. Which pair...
Text Solution
|
A transverse periodic wave ona strin with a linear mass density of 0.2...
Text Solution
|
The figure shows four progressive wave A,B,C & D. It can be concluded ...
Text Solution
|
Under similar conditions of temperature and pressure, In which of the ...
Text Solution
|
The velocity of sound in a gas at temperature 27^@C is V then in the s...
Text Solution
|
The frequency of a tunning fork is 384 per second and velocity of soun...
Text Solution
|
Ultrasonic, infrasonic and audio waves travel though a medium with spe...
Text Solution
|
Consider a wave represented by y=cos(500t-70x) where y is in millimetr...
Text Solution
|
The frequency of a man's voice is 300 Hz and its wavelength is 1 meter...
Text Solution
|
A light pointer fixed to one prong of a tuning fork touches gnetly a s...
Text Solution
|
Which of the following expressions is that of a simple harmonic progre...
Text Solution
|
If the density of air at NTP is 1.293kg//m^(3) and gamma=1.41, then th...
Text Solution
|
Light can travel in vacuum whereas sound can not do so. Why?
Text Solution
|