1
IIT-JEE 1998 Screening
MCQ (More than One Correct Answer)
+2
-0.5
A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the center. At a certain instant of time, the stone is at its lowest position, and has a speed u. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is
A
$$\sqrt {{u^2} - 2gL} $$
B
$$\sqrt {2gL} $$
C
$$\sqrt {{u^2} - gL} $$
D
$$\sqrt {2\left( {{u^2} - gL} \right)} $$
2
IIT-JEE 1998 Screening
MCQ (More than One Correct Answer)
+2
-0.5
A force $$F = - K\left( {y\widehat i + x\widehat j} \right)$$ (where K is a positive constant) acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x axis to the point $$\left( {a,0} \right)$$, and then parallel to the y axis to the point $$\left( {a,a} \right)$$. The total work done by the force F on the particle is
A
$$ - 2K{a^2}$$
B
$$2K{a^2}$$
C
$$ - K{a^2}$$
D
$$K{a^2}$$
3
IIT-JEE 1987
MCQ (More than One Correct Answer)
+2
-0.5
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that :
A
Its velocity is constant
B
its acceleration is constant
C
its kinetic energy is constant
D
it moves in a circular path
4
IIT-JEE 1985
MCQ (More than One Correct Answer)
+2
-0.5
A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is
A
MgL
B
$${{MgL} \over 3}$$
C
$${{MgL} \over 9}$$
D
$${{MgL} \over {18}}$$
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