A student was asked by his teacher to find the image distance for various object distance in case of a given convex lens. He performed the experiment with all precautions and noted down his observations in the following table :

After checking the observations table the teacher pointed out that there is a mistake in recording the image distance in one of the observations. Find the serial number of the observations having faulty image distance

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answer is B.

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Detailed Solution

f = 12 u = 36

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$

$\frac{1}{12} = \frac{1}{v} + \frac{1}{36}$

$\frac{1}{12} - \frac{1}{36} = \frac{1}{v}$

$\frac{3 - 1}{36} = \frac{1}{v}$

$v = \frac{36}{2}$

$f = 12 u = 18$

$\frac{1}{12} = \frac{1}{v} + \frac{1}{18}$

$\frac{1}{v} = \frac{1}{12} - \frac{1}{18}$

$v = 18 c m$

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