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Q.

Width of river is 30m , river velocity is 4 m/s and rowing velocity of boat man is 5 m/s with respect to river. 
Match the statements in column I with corresponding results in Column II.

 Column  I Column  II
AShortest time (in s)p143
Bboat velocity with respect to ground (m/s) in shortest time in caseq10
CDirection of   Vbr  with respect  to river to get shortest path (in degree)r41
DTime taken by boat to cross the river in shortest path (in Sec)s6

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a

Ap;Bq;Cr;Ds

b

As;Br;Cp;Dq

c

Ar;Bq;Cp;Ds

d

Aq;Br;Cq;Dp

answer is B.

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Detailed Solution

W=30Vr=4m/sVBr=5m/s tmin=w5=305=6 Vb=Vr2+VBr2=16+25=41

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Width of river is 30m , river velocity is 4 m/s and rowing velocity of boat man is 5 m/s with respect to river. Match the statements in column I with corresponding results in Column II. Column  I Column  IIAShortest time (in s)p143Bboat velocity with respect to ground (m/s) in shortest time in caseq10CDirection of   Vbr  with respect  to river to get shortest path (in degree)r41DTime taken by boat to cross the river in shortest path (in Sec)s6