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Assertion: In the YDSE apparatus shown i...

Assertion: In the YDSE apparatus shown in figure dltltD and `d/lambda = 4`, then second order maxima will be obtained at ` theta = 30^@`
`
Reason: Total seven maxima will be obtained on screen.

A

(a)If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

(b)If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false, but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
B
`d sin theta= 2lambda` (for second order maxima)
`sin theta = 2lambda/d = 2 xx 1/4 = 1/2`
` :. theta = 30^@`
For maxima, `dsintheta = nlambda`
`:. n_max = d/lambda =4 ` `(for `theta =90^@`)
So, there are total 7 maxima corresponding to
`n=0, +-1, +-2 and +-3`.
We cannot take n=4, as it is for `theta = 90^@`, which is
out of screen.
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