1
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of
A
time
B
frequency
C
angular momentum
D
velocity
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 (Single Correct Answer)
+4
-1
If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j - 4\widehat i + \alpha \widehat k,$$ then the value of $$\alpha $$ is
A
1/2
B
$$-$$ 1/2
C
1
D
$$-$$ 1.