1
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?
(Take g = 10 m/s2.)
A
10 m
B
5 m
C
15 m
D
20 m
2
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
The displacement x of a particle varies with time t as x = ae$$-$$at + be$$\beta $$t, where a, b, $$\alpha $$ and $$\beta $$ are positive constants. The velocity of the particle will
A
be independent of $$\beta $$
B
drop to zero when $$\alpha $$ = $$\beta $$
C
go on decreasing with time
D
go on increasing with time.
3
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is
A
$${a \over {\sqrt {{v^2} + {v_1}^2} }}$$
B
$${a \over {v + {v_1}}}$$
C
$${a \over {v - {v_1}}}$$
D
$$\sqrt {{a \over {{v^2} - {v_1}^2}}} $$
4
AIPMT 2005
MCQ (More than One Correct Answer)
+4
-1
A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revoluations in 44 seconds, what is the magnitude and direction of acceleration of the stone ?
A
$${\pi ^2}\,$$ m s$$-$$2 and direction along the radius towards the centre
B
$${\pi ^2}\,$$ m s$$-$$2 and direction along the radius away from the centre
C
$${\pi ^2}\,$$ m s$$-$$2 and direction along the tangent to the circle
D
$${\pi ^2}\,$$/4 ms$$-$$2 and direction along the radius towards the centre.
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