Home
Class 12
PHYSICS
An electromagnetic wave of wavelength la...


An electromagnetic wave of wavelength `lamda_(0)` (in vacuum) passes from P towards Q crossing three difference media of refractive index `mu,2mu` and `3mu` respectively as shown in figure `phi_(P)` and `phi_(Q)` be the phase of the wave at points P and Q. Find the phase difference `phi_(Q)-phi_(P)`. [take `mu=1`]

A

0

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C

Optical path difference between (OPD) P & Q
(O.P.D) `=2.25lamda_(0)xx1+(3.5lamda_(0))xx2+3lamda_(0)xx3=18.25lamda_(0)` and phase difference `Deltaphi=(2pi)/(lamda_(0))xxDeltax=(pi)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVE OPTICS

    ALLEN|Exercise Example 5|1 Videos
  • WAVE OPTICS

    ALLEN|Exercise Example 6|1 Videos
  • WAVE OPTICS

    ALLEN|Exercise Example 3|1 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

When light of wavelength lambda_(0) in vacuum travels through same thickness ‘t’ in glass and water, the difference in the number of waves is. (Refractive indices ofglass and water are mu_(g) and mu_(w) respectively.)

The potential difference (V_P - V_Q) between the points P and Q in the part of a circuit as shown in figure is

Knowledge Check

  • Light of wavelength lambda_(0) in air enters a medium of refractive index n. If two points A and B in this medium lie along the path of this light at a distance x, then phase difference phi_(0) between these two point is

    A
    `phi_(0) = (1)/(n) ((2 pi)/(lambda_(0))) x`
    B
    `phi_(0) = n ((2 pi)/(lambda_(0))) x`
    C
    `phi_(0) = (n - 1) ((2 pi)/(lambda_(0))) x`
    D
    `phi_(0) = (1)/((n - 1)) ((2 pi)/(lambda_(0))) x`
  • Three charges +q, +q, +2q are arranged as shown in figure. What is the field at point P (center of side AC)

    A
    `E=q/(pi epsilon_(0)a^(2))`
    B
    `E=q/(2 pi epsilon_(0)a^(2))`
    C
    `E=q/(3 pi epsilon_(0)a^(2))`
    D
    `E=q/(4 pi epsilon_(0)a^(2))`
  • Let P(a sec theta,b tan theta) and Q(a sec phi, b tan phi) where is the point of intersection of normals at P and Q then k is equal to

    A
    `(a^(2)+b^(2))/(a)`
    B
    `-[(a^(2)+b^(2))/(a)]`
    C
    `(a^(2)+b^(2))/(b)`
    D
    `-[(a^(2)+b^(2))/(b)]`
  • Similar Questions

    Explore conceptually related problems

    The potential difference (V_p-V_Q) between the points P and Q in the part of a circuit as shown in figure is

    P and Q are two capacitors with capacitance 10 mu F and 20 mu F respectively which are connected in series with a battery of value 12V. Find the ratio between the charges and P and Q.

    Two transparent media of refractive indices mu_(1) and mu_(3) have a solid lens shaped transparent material of refractive index mu_(2) between them as shown in figures in Columns B. A ray traversing these media is also shown in the figures. In Column A different relationships between mu_(1),mu_(2) and mu_(3) are given. Match them to the ray diagrams shown in Columns B.

    Two transparent media of refractive indices mu_(1) and mu_(3) have a solid lens shaped transparent material of refractive index mu_(2) between them as shown in figure in Column - II. A ray traversing these media is also shown in the figure. In Column I different relationships between mu_(1), mu_(2) and mu_(3) are given. Match them to the ray diagrams shown in Column II

    Three conducting spherical shells have charges q,-2q and 3q as shown in figure. Find electric Potential at point P as shown in figure.