IIT-JEE 2004 Screening

MCQ (Single Correct Answer)

-0.5

A particle starts sliding down a frictionless inclined plane. If S_n is the distance traveled by it from time t = n - 1 sec to t = n sec, the ratio S_n / S_n+1 is

$${{2n - 1} \over {2n + 1}}$$

$${{2n + 1} \over {2n}}$$

$${{2n} \over {2n + 1}}$$

$${{2n + 1} \over {2n - 1}}$$

IIT-JEE 1988

MCQ (Single Correct Answer)

-0.25

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is

$$\sqrt {41} $$

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

A river is flowing from west to east at a speed of 5 meters per minute. A man on the south bank of the river, capable of swimming at 10 meters per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction

due north

$$30^\circ $$ east of north

$$30^\circ $$ west of north

$$60^\circ $$ east of north

JEE Advanced Subjects