A concave mirror of focal length 50 cm is placed at the bottom of a water filled bucket of depth 40 cm . Distance of image of the sun from the water surface is
Answers
Given info : A concave mirror of focal length 50 cm is placed at the bottom of a water filled bucket of depth 40 cm.
To find : The distance of image of the sun from the water surface is ...
solution : focal length, f = -50 cm
object distance from the mirror, u = -∞ [ sun can be assumed at infinity from the bottom of bucket ]
using formula,
1/v + 1/u = 1/f
⇒1/v + 1/-∞ = 1/-50
⇒v = -50 cm , this image acts as object for light getting refracted at the surface of water
so, object distance, d = -50 cm + 40cm = -10cm above the water surface.
after refraction, final image is at,
d' = d/μ = -10/(4/3) = -30/4 = -7.5 cm
Therefore distance of image of the sun from the water surface is 7.5 cm.
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