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A satisfactory photographic print is obt...

A satisfactory photographic print is obtained when the exposure time is `10 sec` at a distance of `2m` from a `60 cd` lamp. The time of exposure required for the same quality print at a distance of `4m` from a `120 cd` lamp is

A

5 s

B

10 s

C

15 s

D

20 s

Text Solution

Verified by Experts

The correct Answer is:
D

`I_(1) D_(1)^(2) t_(1) = I_(2) D_(2)^(2) t_(2)" " [ D rarr " diameter of aperature" ] `
` I = (L)/(r^(2)) " and " D_(1) = D_(2)`
`therefore " " (L_(1))/(r_(1)^(2)) xx t_(1) = (L_(2))/(r_(2)^(2)) xx t_(2)`
`rArr " " (60)/((2)^(2)) xx 10 = (120)/((4)^(2)) xx t`
`rArr t = 20 ` sec .
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