1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Two bodies of mass 1 kg and 3 kg have position vectors $$\widehat i + 2\widehat j + \widehat k$$ and $$ - 3\widehat i - 2\widehat j + \widehat k$$, respectively. The center of mass of this system has a position vector :
A
$$ - 2\widehat i - \widehat j + \widehat k$$
B
$$2\widehat i - \widehat j - 2\widehat k$$
C
$$ - \widehat i + \widehat j + \widehat k$$
D
$$ - 2\widehat i + 2\widehat k$$
2
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  $$\overrightarrow F .\overrightarrow \tau = 0$$
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
A black body at 227oC radiates heat at the rate of 7 cals/cm2s. At a temperature of 727oC, the rate of heat radiated in the same units will be
A
50
B
112
C
80
D
60
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