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Q11Q

Expert-verifiedFound in: Page 1073

Book edition
10th Edition

Author(s)
David Halliday

Pages
1328 pages

ISBN
9781118230718

The situation corresponding to the reflections yielding maxima is (c).

The thickness of the thin film for each situation is L.

The index of refraction of the thin film for situation (a) is 1.6.

The index of refraction of the thin film for situation (b) is 1.6.

The index of refraction of the thin film for situation (c) is 1.3.

The index of refraction of the thin film for situation (d) is 1.6.

**If two different waves exactly in phase meet each other then they produce fully constructive interference having a bright film.**

** **

The formula for the path length difference (2L) of the light in the medium is given by,

$2L=\left(m+\frac{1}{2}\right)\frac{\lambda}{{n}_{2}}$

Here, $\lambda $ is the wavelength of the incident light, n_{2} is the index of refraction of the medium, and m=0,1,2...... for maxima-bright film in air.

According to the equation 35-36,

$2L=\left(m+\frac{1}{2}\right)\frac{\lambda}{{n}_{2}}$

For a particular order, the maximum intensity will be possible when,

$2L\propto \frac{1}{{n}_{2}}$

From the above relation, the reflections yield maxima for a medium having the least value of the index of refraction.

Comparing the given four situations,

$1.3<1.6$

So, the value of the index of refraction is the least for situation (c).

Hence, the situation corresponding to the reflections yielding maxima (that is, a bright film) is (c).

Hence, the situation corresponding to the reflections yielding maxima (that is, a bright film) is (c).

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