1.

Afish under water observes a freely falling stone in air . If therefractive index ofwateris4/3, what is theapparent acceleration of thestone as observed by thefish?

Answer»

Solution :(i) Let `h_(1) and h_(1)^(1)` be the real andapparent height ofthestoneat t = 0s.
Let `h_(2) and h_(2)^(1)` be the real and apparent height of the STONE at t = 1 s
THEREAL DISTANCE TRAVELLED
` S = h_(1) - h_(2)`
Apparent distance travelled `h_(1)^(1) -h_(2)^(1) = S^(1)`
` mu = h_(1)/h_(1)^(1) ,h_(1)^(1) = h_(1)/mu and h_(2)^(1) = h_(2)/mu `
Use the relation ` s = ut + 1/2 at^(2)`
In both thecases, determine theapparent acceleration.
(ii) ` 13.1 ms^(-2)`


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