Q.
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
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a
A–p, B–q, C–s, D–r
b
A– r, B–q, C–p, D–p
c
A– p, B–r, C–q, D–s
d
A– p, B–s, C–q, D–r
answer is B.
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Detailed Solution
Velocity of child as observed by fish=VCFVelocity of fish as observed by child=VFCVCF=VF+μVC=4+43×3=8m/s VFC=VC+VFμ=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=μVC=43×3=4m/s i.e boy is relatively at rest wrt fish
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