Home
Class 12
PHYSICS
Two coherent sources emit light waves wh...

Two coherent sources emit light waves which superimpose at a point where these can be expressed as
`E_(1) = E_(0) sin(omega t + pi//4)`
`E_(2) = 2E_(0) sin(omega t - pi//4)`
Here, `E_(1) and E_(2)` are the electric field strenghts of the two waves at the given point.
If I is the intensity of wave expressed by field strenght `E_(1)`, find the resultant intensity

Text Solution

AI Generated Solution

To find the resultant intensity of the two coherent light waves given by their electric field strengths \( E_1 \) and \( E_2 \), we can follow these steps: ### Step 1: Identify the Electric Field Strengths We have: \[ E_1 = E_0 \sin(\omega t + \frac{\pi}{4}) \] \[ ...
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|10 Videos
  • WAVE OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.1|12 Videos
  • SOURCES OF MAGNETIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise single correct Ansewer type|12 Videos

Similar Questions

Explore conceptually related problems

The emf and current in a circuit are such that E = E_(0) sin omega t and I = I_(0) sin (omega t - theta) . This AC circuit contains

Electric field and magnetic filed are given as E = E_(0) sin(omega t-kx) and B = B_0 sin(omega t-kx) then select the correct option

Two coherent waves represented by y_(1) = A sin ((2 pi)/(lambda) x_(1) - omega t + (pi)/(4)) and y_(2) = A sin (( 2pi)/(lambda) x_(2) - omega t + (pi)/(6)) are superposed. The two waves will produce

Two coherent waves are represented by y_(1)=a_(1)cos_(omega) t and y_(2)=a_(2)sin_(omega) t. The resultant intensity due to interference will be

The displacement of two interfering light waves are y_(1)=4 sin omega t" and "y_(2)= 3 cos (omega t) . The amplitude of the resultant waves is (y_(1)" and "y_(2) are in CGS system)

S_(1) and S_(2) are two sources of light which produce individually disturbance at point P given by E_(1)=3sin omegat,E_(2)=4 cos omegat. Assume vec(E_(1))&vecE_(2) to along the same line, find the resultant after their superposition.

Light waves from two coherent sources superimpose at a point. The waves, at this point, can be expressed as y_(1) = a sin [10^(15) pi t] and y_(2)a sin [10^(15) pi t + phi] . Find the resultant amplitude if phase difference phi is (a) zero (b) pi//3 (c) pi Also find the frequency (Hz) of resultant wave in each case.

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

The electric vector vibration of an electromagnetic wave is given by E = (50NC^(-1)) sin omega(t-(x)/(c)) , The intensity of the wave is