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A wave is described by the equation y = ...

A wave is described by the equation `y = (1.0 mm) sin pi((x)/(2.0 cm) - (t)/(0.01 s))`.
(a) Find time period and wavelength.
(b) Find the speed of particle at `x = 1.0 cm` and time `t = 0.01 s`.
( c ) What are the speed of the partcle at `x = 3.0 cm`, `5.0 cm and 7.0 cm` at `t = 0.01 s`?
(d) What are the speeds of the partcle at `x =1.0 cm` at `t = 0.011` , `0.012 and 0.013 s`?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) `T = (2pi)/(omega), lambda = (2pi)/(k)`
(b) Find `(dely)/(delt)` and then substitute the given values of `x` and `t`.
(c) and (d) Procedure is same.
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