1
AIEEE 2005
+4
-1
A spherical ball of mass $$20$$ $$kg$$ is stationary at the top of a hill of height $$100$$ $$m$$. It rolls down a smooth surface to the ground, then climbs up another hill of height $$30$$ $$m$$ and finally rolls down to a horizontal base at a height of $$20$$ $$m$$ above the ground. The velocity attained by the ball is
A
$$20$$ $$m/s$$
B
$$40$$ $$m/s$$
C
$$10\sqrt {30} \,\,\,m/s$$
D
$$10\,\,m/s$$
2
AIEEE 2005
+4
-1
A body of mass $$m$$ is accelerated uniformly from rest to a speed $$v$$ in a time $$T.$$ The instantaneous power delivered to the body as a function of time is given by
A
$${{m{v^2}} \over {{T^2}}}.{t^2}$$
B
$${{m{v^2}} \over {{T^2}}}.t$$
C
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.{t^2}$$
D
$${1 \over 2}{{m{v^2}} \over {{T^2}}}.t$$
3
AIEEE 2004
+4
-1
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $$x$$ is proportional to
A
$$x$$
B
$${e^x}$$
C
$${x^2}$$
D
$${\log _e}x$$
4
AIEEE 2004
+4
-1
A uniform chain of length $$2$$ $$m$$ is kept on a table such that a length of $$60$$ $$cm$$ hangs freely from the edge of the table. The total mass of the chain is $$4$$ $$kg.$$ What is the work done in pulling the entire chain on the table?
A
$$12$$ $$J$$
B
$$3.6$$ $$J$$
C
$$7.2$$ $$J$$
D
$$1200$$ $$J$$
EXAM MAP
Medical
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