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An object is located 4cm from the first ...

An object is located 4cm from the first of two thin converging lenses of focal lengths 2m and 1m. Respectively. The lenses are separated by 3m. The final image formed by the second lens is located from the source at a distance of

A

8.0 m

B

7.5 m

C

6.0 m

D

6.5 m

Text Solution

Verified by Experts

The correct Answer is:
B

`u_(1) = -4m, f_(1) = 2m`
`(1)/(v_(1)) = (1)/(2) - (1)/(4) = (1)/(4) " " rArr v_(1) = 4m `
`u_(2) = 1 m, f_(2) = 1` m
`u_(2) = 1 m, f_(2) = 1m `
`(1)/(v_(2)) = (1)/(1) + (1)/(1) " " rArr v_(2) = 0.5 m`
Distance from object = 7 + 0.5 = 7.5 m.
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