If a particle is seen through layers of parallel glass slabs of different refractive index as shown in figure. Where `mu_(0)` is the medium of the observer. If the object has velocity `v` towarsd observer at this instant along the line joining object and observer then, which of the following correctly represent the velocity of the object as seen by observer?

Options

A. `v_(app)=(V)/(m_(3)//mu_(0))`
B. `v_(app)=(v)/(mu_(1)//mu_(0))`
C. `v_(app)=(v)/(mu_(1)//mu_(0))+(v)/(mu_(2)//mu_(0))+(v)/(mu_(3)//mu_(0))`
D. `v_(app)=v`

Answer

A

Explanation

Apparent velocity `=((v)/(mu_(3)//mu_(2)))/((mu_(2)//mu_(1))/(mu_(1)//mu_(0)))=(v)/(mu_(3)//mu_(0))`