Home
Class 11
PHYSICS
The equation of a wave travelling on a s...

The equation of a wave travelling on a string stretched along the X-axis is given by
`y=Ae^(((-x)/(a) + (t)/(T))^(2)`
(a) Write the dimensions of A, a and T.
(b) Find the wave speed.
(c) In which direction is the wave travelling?
(d) Where is the maximum of the pulse located at `t =T` and at `t = 2T`?

Text Solution

Verified by Experts

(a) A has the dimensions of `y`.
`(x)/(a)` and `(t)/(T)` are dimensionless.
(b) `v = ("Coefficient of t")/("Coefficient of x")`
(c) `(x)/(a)` and `(t)/(T)` are of same sign
(d) `y_(max) = A`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    DC PANDEY|Exercise Exercise 17.2|2 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Exercise 17.3|4 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Miscellaneous Examples|9 Videos

  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos

  • WORK, ENERGY & POWER

    DC PANDEY|Exercise Level 2 Comprehension Based|2 Videos

Similar Questions

Explore conceptually related problems

The equation of a wve travelling on a string stretched along the X-axis is given by y=Ad^(-(x/at/T)^2) a. Write the dimensions of A, a and T. b. Find the wave speed. c.In which direction is the wave travelling? d.Where is the maximum of the pulse located at t=T? At t=2T?

The equation of a wave travelling on a stretched string along the x-axis is y = ae^(-(bx+ct)) . The direction of propagation of wave is

The equation of a wave travelling along the positive x-axis, as shown in figure at t=0 is given by :- .

The equation of a wave travelling along the positive x-axis, as shown in figure at t=0 is given by

The equation of a wave travelling in a string can be written as y=3cos pi ( 100 t- x) . Its wavelength is

The equation of a wave travelling in a string can be written as y=3 cos pi (100 t-x) . Ita wavelength is

the equation of a wave travelling along the positive x - axis ,as shown in figure at t = 0 is given by

The equation of a wave travelling on a stretched string is y = 4 sin 2 pi ((t)/(0.02)-(x)/(100)) Here, x and y are in cm and t is in second. The speed of wave is

The equation of a transverse wave along a stretched string is given by y = 15 sin 2pi ((t)/(0.04) - (x)/(40)) cm . The velocity of the wave is

The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))] , where x,y are in cm and t in second. They velocity of the wave is