1
AIPMT 2005
MCQ (Single Correct Answer)
+4
-1
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then
A
g' = g/9
B
g' = 27g
C
g' = 9g
D
g' = 3g
2
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
3
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.
4
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
$$\sqrt {{a \over {{v^2} - {v_1}^2}}} $$