Home
Class 11
PHYSICS
Given that y = A sin [((2 pi )/(lambda)(...

Given that` y = A sin [((2 pi )/(lambda)(ct - x))]` where` y` and `x` are measured in metres ,Which of the following statements is true ?

A

The unit of `lambda^(-1)` is same as that of `(2pi)/(lambda)`

B

The unit of `lambda` is same as that of x but not of A

C

The unit of c is same as that of `(2pi)/(lambda)`

D

The unit of (ct - x) is same as that of `(2pi)/(lambda)`

Text Solution

Verified by Experts

The correct Answer is:
A

`(1)/(lambda)=K=(2pi)/(lambda)`. So unit of `lambda^(-1)` is same as that of `(2pi)/(lambda)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Given that y =A sin [( ( 2pi )/( lambda ) ( ct -x))] ,where y and x are measured in metres. Which of the following statement is true?

Given that y = a cos((t)/(P) - qx), where t represents distance is metre. Which of the following statements is true ?

The equation of the stationary wave is y = 2 A sin (( 2 pi c t)/( lambda)) cos (( 2 pi x)/( lambda)) Which of the following statements is wrong?

For the circle x ^(2) + y^(2) + 6x -8y +9=0, which of the following statement is true ?

The equation of the progressive wave is Y=3sin [pi ((1)/(3)- (x)/(5) )+( pi)/(4)] where x and y are in metre and time in second.Which of the following in correct?

The equation of the progressive wave is y = 3 sin[pi(t/3-x/5)+pi/4] , where x and y are in metre and time in second. Which of the following is correct.

The equation of the propagating wave is y=25 sin (20 t+5 x) ,where y is displacement. Which of the following statement is not true

A transverse progressive wave is given by the equation y = 2 cos pi (0.5 x - 200t) , where x and y are in cm and 't' in second. The true following statement is

If sin x+sin y=a and cos x+cos y=b then which of the following may be true