A fish rising vertically to the surface of water in a lake uniformly at the rate of 2 m/s observes a kingfisher diving vertically towards the water at a rate of 10 m/s. If refractive index of water n = what will be the actual velocity of the kingfisher
10 m/s
8 m/s
6 m/s
9 m/s
C.
6 m/s
Velocity of bird w.r t. fish
= 10 m/s
and velocity of fish w.r.t. ground
= 2 m/s
∴ Distance between bird and fish, as seen by fish
S = x + ny
on differentiating w.r.t. time, we get
⇒ 10 = 2 +
⇒ =
⇒ 10 = 2 +
⇒ =
⇒ = 6m/s