1
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre of particles through a distance d. by what distance would be particle of mass m2 move so as to keep the mass centre of particles at the original position?
A
$${{{m_1}} \over {{m_1} + m{}_2}}$$d
B
$${{{m_1}} \over {{m_2}}}$$d
C
d
D
$${{{m_2}} \over {{m_1}}}$$d
2
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
A round disc of moment of inertia $$I$$2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia $$I$$1 rotating with an angular velocity $$\omega $$ about the same axis. The final angular velocity of the combination of discs is
A
$${{{I_2}\omega } \over {{I_1} + {I_2}}}$$
B
$$\omega $$
C
$${{{I_1}\omega } \over {{I_1} + I{}_2}}$$
D
$${{\left( {{I_1} + {I_2}} \right)\omega } \over {{I_1}}}$$
3
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is
A
2 : 3
B
2 : 1
C
$$\sqrt 5 :\sqrt 6 $$
D
$$1:\sqrt 2 $$
4
AIPMT 2004
MCQ (Single Correct Answer)
+4
-1
The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
A
2R
B
4R
C
$${1 \over 4}$$R
D
$${1 \over 2}$$R
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