1
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A fixed thermally conducting cylinder has a radius $R$ and height $L_0$. The cylinder is open at its bottom and has a small hole at its top. A piston of mass $M$ is held at a distance $L$ from the top surface, as shown in the figure. The atmospheric pressure is $P_0$.

IIT-JEE 2007 Paper 1 Offline Physics - Motion Question 3 English Comprehension

While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is :

A
$$\left( {{{2{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} + Mg}}} \right)(2L)$$
B
$$\left( {{{{P_0}\pi {R^2} - Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)$$
C
$$\left( {{{{P_0}\pi {R^2} + Mg} \over {\pi {R^2}{P_0}}}} \right)(2L)$$
D
$$\left( {{{{P_0}\pi {R^2}} \over {\pi {R^2}{P_0} - Mg}}} \right)(2L)$$
2
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
A particle starts sliding down a frictionless inclined plane. If Sn is the distance traveled by it from time t = n - 1 sec to t = n sec, the ratio Sn / Sn+1 is
A
$${{2n - 1} \over {2n + 1}}$$
B
$${{2n + 1} \over {2n}}$$
C
$${{2n} \over {2n + 1}}$$
D
$${{2n + 1} \over {2n - 1}}$$
3
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be IIT-JEE 2004 Screening Physics - Motion Question 21 English
A
110 m/s
B
55 m/s
C
650 m/s
D
550 m/s
4
IIT-JEE 1988
MCQ (Single Correct Answer)
+1
-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
A
1
B
3
C
4
D
$$\sqrt {41} $$

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