The displacements of two interfering li...

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`

Text Solution

Verified by Experts

The correct Answer is:

B

`A = sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos theta)`

Topper's Solved these Questions

WAVE OPTICS
NARAYNA|Exercise LEVEL - II(H.W)|19 Videos
WAVE OPTICS
NARAYNA|Exercise Example|70 Videos
WAVE OPTICS
NARAYNA|Exercise LEVEL - VI|40 Videos
SEMICONDUCTOR ELECTRONICS
NARAYNA|Exercise ADDITIONAL EXERCISE (ASSERTION AND REASON TYPE QUESTIONS :)|19 Videos

Similar Questions

Explore conceptually related problems

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)

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?

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

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

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

The equations of two SH M's are X_(1) = 4 sin (omega t + pi//2) . X_(2) = 3 sin(omega t + pi)

On the superposition of the two waves given as y_1=A_0 sin( omegat-kx) and y_2=A_0 cos ( omega t -kx+(pi)/6) , the resultant amplitude of oscillations will be

Two waves are represented by y_(1)= a sin (omega t + ( pi)/(6)) and y_(2) = a cos omega t . What will be their resultant amplitude

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

Wave equations of two particles are given by y_(1)=a sin (omega t -kx), y_(2)=a sin (kx + omega t) , then

NARAYNA-WAVE OPTICS-LEVEL - I(H.W)

The displacements of two interfering light waves are y(1) = 2sin omeg...
Text Solution
|
The intensity ratio of two waves is 9:1. If they produce interference,...
Text Solution
|
Two beams of ligth having intensities I and 4I interface to produce a ...
Text Solution
|
The maximum intensity in Young's double slit experiment is I(0) . What...
Text Solution
|
In Young's double-slit experiment, 30 fringes are obtained in the fiel...
Text Solution
|
The separation between successive fringes in a double slit arrangement...
Text Solution
|
In the Young's double slit experiment , a mica slip of thickness t and...
Text Solution
|
In Young's double slit experiment, the 10th maximum of wavelength lamb...
Text Solution
|
Two coherent monochormatic light source are located at two vertices of...
Text Solution
|
Light of wavelength 6000 A^(@) is incident on a single slit. The first...
Text Solution
|
A plane wave of wavelength 6250 Å is incident normally of the principa...
Text Solution
|
The distance between the first and the sixth minima in the diffraction...
Text Solution
|
The diameter of an objective of a telescope, which can just resolve tw...
Text Solution
|
A telescope is used to resolve two stars separated by 4.6xx10^(-6) rad...
Text Solution
|
Two point sources distant 0.1 meter away viewed by a telescope. The ob...
Text Solution
|
Two polaroids are kept crossed to each other. Now one of them is rotat...
Text Solution
|
The amplitude of polarised light transmitted through a polariser is A....
Text Solution
|
Unpolarised light of intensity 32 W//m^(2) passes through a polariser ...
Text Solution
|
The critical angle of a transparent crystal is 60^(@). Then its polari...
Text Solution
|
When an unpolarized light of intensity I0 is incident on a polarizing ...
Text Solution
|