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Q.

Two cars A and B start racing at the same time on a flat race track which consists of two straight sections each of length 100π and one circular section as shown in figure. The rule of the race is that each car must travel at constant speed at all times without even skidding.

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a

Car A completes its journey before car B

b

Both cars complete their journey in same time

c

Velocity of car A is greater than that of car B

d

Car B completes its journey before car A.

answer is D.

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Detailed Solution

Maximum velocity for car AvA,max=μgrA=0.1×10×100=10 ms−1vB,max=μBgrB=0.2×10×200=20 ms−1Time taken by cars and A and B tA=2L+πrAVA,max=200π+π⋅10010=30πs; tB=2L+πrBVB,max=200π+π×20020=20πs
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