KCET2018PhysicsRay Optics
A candle placed ( 25 ~cm ) from a lens forms an image on a screen placed ( 75 ~cm ) on the other side of the lens. The focal length and type of the lens should be
Options
- A(+18.75 ~cm ) and convex lens
- B( -18.75 ~cm ) and concave lens
- C( +20.25 ~cm ) and convex lens
- D( -20.25 ~cm ) and concave lens
Correct answer
A. (+18.75 ~cm ) and convex lens
Step-by-step solution
Using lens formula, we have [ 1 f = 1 v - 1 u ] Here, ( v=75 ~cm ; u =-25 ~cm ). Therefore [ array l 1 f = 1 75 - 1 -25 = 1 75 + 1 25 = 75+25 75 25 = 100 75 25 = 4 75 f= 75 4 =18.75 ~cm array ] Focal length of lens ( =+18.75 ~cm ) Type of lens should be convex lens.