A child in a toy car is moving towards a thin walled cubical glass container filled with water with a velocity of $$3$$ $$cm/s$$, whereas fish is moving towards child with a velocity of $$4$$ $$cm/s$$ as shown in the figure. The wall behind the fish is silvered (Refractive$$ index of water is μ$$=4/3$$ and of glass wall is $$1.5). Match the following

Question

A child in a toy car is moving towards a thin walled cubical glass container filled with water with a velocity of $$3$$ $$cm/s$$, whereas fish is moving towards child with a velocity of  $$4$$ $$cm/s$$ as shown in the figure. The wall behind the fish is silvered (Refractive$$ index of water is μ$$=4/3$$ and of glass wall is $$1.5). Match the following

Infinity Learn · Accepted Answer

Velocity of child as observed by $$fish=VCFVelocity$$ of fish as observed by $$child=VFCVCF=VF+$$μ$$VC=4+43$$×$$3=8m/s$$ $$VFC=VC+VF$$μ$$=3+443=6m/sReflection$$ of mirror:velocity of image of fish with respect to mirror $$=F$$'$$=$$ $$4m/svelocity$$ of image of fish wrt $$boy=F$$''$$=$$ VFμ$$=443=3m/s$$ i.e., fish is relatively at rest wrt boyvelocity of image of boy wrt $$fish=$$μ$$VC=43$$×$$3=4m/s$$ i.e boy is relatively at rest wrt fish

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