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A student performed the experiment of de...

A student performed the experiment of determination of focal length of a concave mirror by `u-v` method using an optical bench of length 1.5 meter. The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm. The 5 sets of `(u,v)` values recorded by the student (in cm) are: `(42,56),(48,48),(60,40),(66,33),(78,39)` . The data set (s) that cannot come from experiment and is (are) incorrectly recorded, is (are)

A

(42,56)

B

(48,48)

C

(66,33)

D

(78,39)

Text Solution

Verified by Experts

The correct Answer is:
C, D
We can use the mirror formula `(1)/(v)+(1)/(u)=(1)/(f)` to verify the results. We can use given value of u to calculate the value of v using given focal length of mirror. Then we can compare calculated value of v with the given value of v in the question. We can verify that in last two readings recorded values are not withing the range of maximum permissible error of 0.2cm. Hence options c and d are found to be correct.
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A student performed the experiment of determination of focal length of a concave mirrior by (u-v) method using ac optical bench of length 1.5m . The focal length of the mirrir used is 24 cm . The maximum error in the location of the image can be 0.2 cm . The 5 sets of (u,v) values recorded by the student (in cm) are (42,56), (48,48),(60,33),(78,39) . the data set (s) that cannot caome from experiment and is (are) incorrectly recorded, is (are) (a) (42,56) (48,48) (66,33) (78,39) .

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