Question

in concave mirror experiment,an object is placed at a distance x1 from the focus and the image is formed at a distance x2
from the focus .the focal length of the mirror would be

(a) x1x2. (b) √x1x2. (c) √x1÷x2​

Answer 1

Solution:

Object distance, u = -(x1 + f)

Image distance, v = -(x2 + f)

Focal length, F = -f

Using Mirror Formula

1/v + 1/u = 1/f

-1/(x2+f) - 1/(x1 + f)+= -1/f

So,

f=√x1x2

Answer- (b) √x1x2

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Answer 2

Answer:

Solution:

Object distance, u = -(x1 + f)

Image distance, v = -(x2 + f)

Focal length, F = -f

Using Mirror Formula

1/v + 1/u = 1/f

-1/(x2+f) - 1/(x1 + f)+= -1/f

So,

f=√x1x2

Answer- (b) √x1x2

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