Home
Class 11
PHYSICS
A wave of angular frequency omega propag...

A wave of angular frequency `omega` propagates so that a certain phase of oscillation moves along x-axis, y-axis, z-axis with speeds `c_(1) c_(2)` and `c_(3)` respectively.

A

`(omega)/(sqrt(c_(1)^(2)+c_(2)^(2)+c_(3)^(2)))(hat(i)+hat(j)+hat(k))`

B

`(omega)/(c_(1))hat(i)+(omega)/(c_(2))hat(j)+(omega)/(c_(3))hat(k)`

C

`(omegahat(i) + omegahat(j) +omegahat(k))(1)/(c )`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Propagation constant is a vector quantity.
`therefore " "k=k_(x)hat(i)+k_(y)hat(j)+k_(2)hat(k)`
Here, `k_(x) = (omega)/(v_(x)) = (omega)/(c_(1))`
`k_(y) = (omega)/(v_(y)) = (omega)/(c_(2))`
and `k_(z) = (omega)/(v_(z))= (omega)/(c_(3))`
`therefore " "k = (omega)/(c_(1))hat(i) + (omega)/(c_(2))hat(j) + (omega)/(c_(3))hat(k)`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos

  • UNITS, MEASUREMENTS & DIMENSION

    BITSAT GUIDE|Exercise All Questions|58 Videos

Similar Questions

Explore conceptually related problems

A wave of angular frequency 30 rad//sec propagates so that a certain phase of oscillationn moves along x-axis, y-axis , z-axis with speeds 1m//s , 2m//s and 2m//s respectively. The propagation constant K is

A plane wave of frquency omega propagates so that a certain phase of oscillation moves along the x,y,z axes with velocities upsilon_(1), upsilon_(2), upsilon_(3) . Respectively. Find the wave vector k , assuming the unit vetors e_(x), e_(y), e_(z) of the coordinate axes to be assigned.

What is the locus of a point for which y=0,z =0? a. x-axis b. y-axis c. z-axis d. yz-plane

Graph show three waves that are separately send along a string that is stretched under a certain tension along x- axis. If omega_(1).omega_(2) and omega_(3) are their angular frequencies respectively then :

A plane harmonic wave of frequency 440 Hz propagates in a medium in a direction that makes angle 60^(@)C with x-axis as well as y-axis, find the phase difference between the oscillation at the point of medium whose coordinates are 91,1,2) and (2,3,1). the velocity of the wave in the medium is 220m/s.

A plane harmonic wave with frequency omega propagates at a velocity upsilon in a direction forming angles alpha, beta, gamma and with x,y, z axes . Find the phase difference between the oscillations at the points of medium with coordinates x_(1), y_(1), z_(1) and x_(2), y_(2), z_(2) .

Graph shows three waves that are separately sent along a string that is stretched under a certain tension along x-axis. If omega_(1),omega_(2) and omega_(3) are their angular frequencies, respectively, then:

An electromagnetic wave is propagating along Y-axis. Then

Find the length of the foot of perpendicular drawn from the point P(a, b, c) on x-axis, y-axis and z-axis respectively.