InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A two-slit inteference, experiment uses coherent light of wavelength `5 xx 10^(-7)m`. Intensity in the interference pattern for the following points are `I_(1) , I_(2) , I_(3)`, and `I_(4)`, respectively 1. A point that is close to one slit than the other by `5 xx 10^(-7)m`. 2. A point where the light waves received from the two slits are out of phase by `(4 pi)/(3)` rad. 3. A point that is closer to one slit than the other by `7.5 xx 10^(-7) m`. 4. A point where the light waves received by the two slits are out of phase by `(pi)/(36)` rad. Then which of following statements is/are correct?A. `I_(1) gt I_(4) gt I_(2) gt I_(3)`B. `I_(1) gt I_(4) gt I_(2) gt I_(3)`C. `4 I_(2) = I_(4)`D. `I_(3) = 0` |
|
Answer» Correct Answer - a `I = I_(0) cos^(2).(xd sin theta)/(lambda)` (1) Path difference, `delta = d sin theta = 5 xx 10^(-7) m,` `I_(1) = I_(0) cos^(2).(pi xx 5 xx 10^(-7))/((5 xx 10^(-7) m)) = I_(0) cos^(2) (pi) = I_(0)` (2) `I_(2) = I_(0) cos^(2) ((4pi)/(2 xx 3) "rad")` `implies I_(0) cos^(2) ((4 pi)/(6)) = 0.25 I_(0)` (3) `I_(3) = I_(0) cos^(2) ((pi xx 7.5 xx 10^(-7)m)/(5 xx 10^(-7)m))` `=I_(0) cos^(2) (1.5 pi "rad") = I_(0) cos^(2) (270^(@)) = 0` (4) `I_(4) = I_(0) cos^(2) ((pi)/(2 xx 3)) "rad" = 0.75 I_(0)`. |
|