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The figure shows an equi-convex lens. Wh...

The figure shows an equi-convex lens. What should be the condition of the refractive indices so that the lens becomes diverging?

A

`2mu_(3)gtmu_(1)-mu_(2)`

B

`2mu_(2)ltmu_(1)+mu_(3)`

C

`2mu_(2)gt2mu_(1)_mu_(3)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
(b) We have, `mu_(2)/v_(1)-mu_(1)/oo=(mu_(2)-mu_(1))/R`
and `mu_(3)/f-mu_(2)/v_(1)=(mu_(3)-mu_(2))/(-R)`
From Eqs. (i) and (ii) we get
`mu_(3)/f=(mu_(2)-mu_(1)-mu_(3)+mu_(2))/R=(2mu_(2)-(mu_(1)+mu_(3)))/R`
Lens will become diverging, if f is negative
i.e., `2mu_(2)lt(mu_(1)+mu_(3))`
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  13. An object is placed at 21 cm in front of a concave mirror of radius of...

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  14. A thin prism P with angle 4^(@) and made from glass of refractive inde...

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  15. A convex lens produces an image of a real object on a screen with a ma...

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  16. An infinitely long rod lies along the axis of a concave mirror of foca...

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  17. A plane mirror is placed horizontally inside water (mu=4/3). A ray fal...

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  18. A point object is moving with a speed v before an arrangement of two m...

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  19. If a ray of light in a denser medium strikes a rarer medium at an angl...

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