Question

3. The image of an object placed 16 cm from a concave mirror is formed at a distance of 24 cm from the mirror. Calculate the possible focal lengths of the
concave mirror from this information.​

Answer 1

Answer:

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Answer 2

Given :-

• Object distance (u) = - 16cm
• Image distance (v) = ± 24cm

To find :-

• Possible focal lengths

Solution :-

According to the Mirror Formula

• If v = + 24cm

→ 1/v + 1/u = 1/f

→ 1/24 + (-1)/16 = 1/f

→ 2 - 3/48 = 1/f

→ -1/48 = 1/f

→ f = - 48cm

• If v = - 24cm

→ 1/v + 1/u = 1/f

→ -1/24 + (-1)/16 = 1/f

→ 1/f = -2-3/48

→ 1/f = -5/48

→ f = -48/5

→ f = - 9.6cm

Hence,

• Possible focal lengths are - 48cm and - 9.6cm