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In displacement method, the distance bet...

In displacement method, the distance between object and screen is 96 cm. The ratio of length of two images formed by a convex lens placed between them is 4.84.

A

Ratio of the length of object to the length of shorter image is 11/5.

B

Distance between the two positions of the lens is 36 cm.

C

Focal length of the lens is 22.5 cm

D

Distance of the lens from the shorter image is 30cm.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

For first & second position `(v)/(u)=(I_(1))/(O),(u)/(v)=(I_(2))/(O)`
`rArr (v^(2))/(u^(2))=(I_(1))/(I_(2))=4.84`
`rArr (v)/(u)=2.2` and `v+u =96`
`rArr v=66, u=30`
`(O)/(I_(2))=(v)/(u)=2.2 =(11)/(5)`
`rArr A` is True
Distance between two position of lens `= v-u`
`= 36 cm rArr B` is True
Focal length of lens `f`
`= ("uv")/("u+v")=(66 xx 30)/(66+30)=20.63 rArr C` is False
Distance of lens from shorter image `=u =30 cm rArr D` is True.
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