MyQuestionIcon

4

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Revisiting Standing Waves

Two waves are...

Question

Two waves are given by $y_{1} = a s i n (ω t - k x)$ and $y_{2} = a c o s (ω t - k x)$ The phase difference between the two waves is

[MP PMT 1993; SCRA 1996; CET 1998;EAMCET 1991; Orissa JEE 2002]

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D

$y_{1} = a s i n (ω t - k x)$ and $y_{2} = a c o s (ω t - k x) = a s i n ⎧ ⎪ ⎩ ω t - k x + \frac{π}{2} ⎫ ⎪ ⎭$

Hence phase difference between these two is $\frac{π}{2}$

Suggest Corrections

thumbs-up

3

Similar questions

Q. The phase difference between two sound waves represented by

y_{1} = A_{1} sin (w t - k x)

y_{2} = A_{2} cos (w t - k x + π / 3)

Q. Two waves are represented by

x_{1} = A sin (ω t + \frac{π}{6})

x_{2} = A cos ω t

then the phase difference between them is :

x = a sin (ω t + π / 6)

y = a cos ω t

, then the phase difference between the two waves is

Q. On the superposition of the two waves represented by equation

y_{1} = A sin (ω t - k x)

y_{2} = A sin (ω t - k x + \frac{π}{4})

, the resultant amplitude of oscillation will be:

Q. List - I List - II
a) Phase difference e)

π

between two particles in
alternate loops.
b) Phase difference f)

\frac{π}{2}

between two particles in
successive loops
c) Phase difference between g)

2 π

two particles in the same loop
d) Phase difference between h)

0

Y_{1} = a sin (ω t - K x)

Y_{2} = a cos (ω t - K x)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Standing Longitudinal Waves

PHYSICS

Watch in App

explore_more_icon

Explore more

Revisiting Standing Waves

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon