Water in a river is flow ing at a speed of \V _\R. A boat which can move at a speed of \V _\B in still water is used to cross the river. Width of river is D. Match List - I and List - II. List - I List - II (A ) Minimum time taken by boat to cross river (I) \sqrt{\V_\B^2-\V_\R^2} (B) Time taken by boat to cross river in shortest path (II) \D/\sqrt{\V_\B^2-\V_\R^2} (C) Resultant velocity of boat when it crosses river in shortest path (III) \D/\V_\B (D) Resultant velocity of boat when it crosses river in shortest time (IV) \sqrt{\V_\B^2+\V_\R^2}

Correct Answer is : A - III, B -II, C -I, D -IV

AP and TS EAMCET Engineering Model Paper 16

Question : 83 of 160

Marks: +1, -0

Water in a river is flow ing at a speed of VR. A boat which can move at a speed of VB in still water is used to cross the river. Width of river is D. Match List - I and List - II.

List - I

List - II

(A ) Minimum time taken by boat to cross river

(I) √VB2−VR2

(B) Time taken by boat to cross river in shortest path

(II)

√VB2−VR2

(III)

(D) Resultant velocity of boat when it crosses river in shortest time

(IV) √VB2+VR2

A -II, B -III, C -I, D -IV
A - I, B -IV , C -II, D - III
A - III, B -II, C -I, D -IV
A -IV , B -I, C -II, D - III

Validate

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