Home
Class 12
PHYSICS
The displacements of two intering lightw...

The displacements of two intering lightwaves are `y_(1) = 4 sin omega t` and `y_(2) = 3 cos(omega t)`. The amplitude of the resultant wave is (`y_(1)` and `y_(2)` are in CGS system)

A

5 cm

B

7 cm

C

1 cm

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`A = sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos theta)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVE OPTICS

    NARAYNA|Exercise LEVEL - II (C.W)|31 Videos

  • WAVE OPTICS

    NARAYNA|Exercise LEVEL - III|30 Videos

  • WAVE OPTICS

    NARAYNA|Exercise Exercise - 4 Polarisation|9 Videos

  • SEMICONDUCTOR ELECTRONICS

    NARAYNA|Exercise ADDITIONAL EXERCISE (ASSERTION AND REASON TYPE QUESTIONS :)|19 Videos

Similar Questions

Explore conceptually related problems

y_1 =4sin( omega t + kx), y2 = -4 cos( omega t + kx), the phase difference is

Two light waves are represented by y_(1)=a sin_(omega)t and y_(2)= a sin(omega t+delta) . The phase of the resultant wave is

Knowledge Check

  • The displacement of two interfering light waves are given by y_(1)=3 sinomegat,y_(2)=4 sin(omegat+pi//2) . The amplitude of the resultant wave is

    A
    3
    B
    5
    C
    zero
    D
    one

  • The displacement of the interfaring light waves are y_1 =4 sin omega t and y_2=3sin (omegat +(pi)/( 2)) What is the amplitude of the resultant wave?

    A
    5
    B
    7
    C
    1
    D
    0

  • The displacements of two interfering light waves are y_(1) = 2sin omega t and y_(2) = 5sin (omega t+(pi)/(3)) the resultant amptitude is

    A
    `39cm`
    B
    `sqrt(39)cm`
    C
    `7cm`
    D
    `sqrt(29)cm`

    • Similar Questions

    Explore conceptually related problems

    Two wave are represented by equation y_(1) = a sin omega t and y_(2) = a cos omega t the first wave :-

    when two displacements represented by y_(1) = a sin(omega t) and y_(2) = b cos (omega t) are superimposed the motion is

    When two displacement represented by y_(1) = a sin (omega t) and y_(2) = b cos (omega t) are superimposed, the motion is

    If two independent waves are y_(1)=a_(1)sin omega_(1) and y_(2)=a_(2) sin omega_(2)t then

    If two waves represented by y_(1) = 4 sin omega t and y_(2) = 3 sin (omega t + pi//3) interfere at a point, the amplitude of the resulting wave will be about.

    Home
    Profile