1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?
A
mv3
B
$${1 \over 2}m{v^2}$$
C
$${1 \over 2}{m^2}{v^2}$$
D
$${1 \over 2}m{v^3}$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $$\omega $$. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
A
$${{\omega M} \over {M + 2m}}$$
B
$${{\omega \left( {M + 2m} \right)} \over M}$$
C
$${{\omega M} \over {M + m}}$$
D
$${{\omega \left( {M - 2m} \right)} \over {M + 2m}}$$
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Four identical thin rods each of mass M and length $$l$$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is
A
$${2 \over 3}M{l^2}$$
B
$${{13} \over 3}M{l^2}$$
C
$${1 \over 3}M{l^2}$$
D
$${4 \over 3}M{l^2}$$
4
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow F $$ is the force acting on a particle having position vector $$\overrightarrow r $$ and $$\overrightarrow \tau $$ be the torque of this force about the origin, then
A
$$\overrightarrow r .\overrightarrow \tau > 0$$  and  $$\overrightarrow F .\overrightarrow \tau < 0$$
B
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
C
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau \ne 0$$
D
$$\vec r.\vec \tau \ne 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
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