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A concave mirror having focal length of magnitude 20 cm forms a real image at a distance of 60 cm from it. The object distance (in cm) is:
Question

A concave mirror having focal length of magnitude 20 cm forms a real image at a distance of 60 cm from it. The object distance (in cm) is:

A.

+15

B.

+30

C.

–30

D.

–15

Correct option is C

Given:

f = 20 cm (negative because it's a concave mirror so, -20)

v = 60 cm 

Formula Used:

1f=1v+1u\frac{1}{f}=\frac{1}{v}+\frac{1}{u}

Solution:

Substituting values into the mirror formula, we get

120=160+1u\frac{1}{-20}=\frac{1}{-60}+\frac{1}{u}

Solve for object distance 

1u=120+160\frac{1}{u}=\frac{1}{-20}+\frac{1}{60}

1u=(3+1)60\frac{1}{u}=\frac{(-3+1)}{60}

1u=260\frac{1}{u}=\frac{-2}{60}​​​​

u = -30 cm 

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