VISION UDAN
BURHANPUR
Class: XI (Late Admission) NEET_ BOOST Date: 16.10.25
Duration : 180 Minutes Important Instructions M.M.:720
Topics Covered
PHYSICS: Rotational Motion + Elasticity
CHEMISTRY: Chemical + Ionic Equilibrium (upto last class)
BIOLOGY: Full Syllabus till 12th October
, PHYSICS
Single Answer type question.
1. If the earth is a point mass of 6 1024 kg revolving around the sun at a distance of
1.5 108 km and in time T = 3.14 107 s, then the angular momentum of the earth around
the sun is
(a) 1.2 1018 kg m2 / s (b) 1.8 1029 kg m2 / s (c) 1.5 1037 kg m2 / s (d) 2.7 1040 kg m2 / s
2. Two bodies have their moments of inertia I and 2I respectively about their axis of
rotation. If their kinetic energies of rotation are equal, their angular momentum will
be in the ratio
(a) 1 : 2 (b) 2 :1 (c) 2 : 1 (d) 1 : 2
3. A thin circular ring of mass M and radius R is rotating about its axis with a constant
angular velocity . Two objects each of mass m , are attached gently to the opposite
ends of a diameter of the ring. The ring now rotates with an angular velocity
M (M − 2m) M (M + 2m)
(a) (b) (c) (d)
M +m M + 2m M + 2m M
4. A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which
is fixed) with an angular velocity of 4 radian/s. The linear momentum of the disc is
(a) 1.2 kg-m/s (b) 1.0 kg-m/s (c) 0.6 kg-m/s (d) None of the above
5. If the earth contracts to half of its radius, the day is decreased by
(a) 18.0 hours (b) 22.0 hours (c) 2.5 hours (d) 12 hours
6. A block of mass m is attached at the end of an inextensible string which is wound
over a pulley of mass M and radius R as shown in figure. Assume that string does
not slide over the pulley. The acceleration of the block when released is
2mg 2mg mg mg
(a) (b) (c) (d)
m+M 2m + M 2m + M m+M
7. A solid cylinder of mass 4kg an radius 10 cm has two ropes wrapped around it, one
near each end. The cylinder is held horizontally by fixing the two free ends of the
cords to the hooks on the ceiling such that both the cords are exactly vertical. The
cylinder is released to fall under gravity. Find the tension along the strings
(a) 6.53 N (b) 5.23 N (c) 3.23 N (d) 4.43 N
8. An equilateral prism of mass m rests on a rough horizontal surface with coefficient
of friction . A horizontal force F is applied on the prism as shown. If the coefficient
of friction is sufficiently high so that the prism does not slide before toppling, the
minimum force required to topple the prism is
mg mg mg mg
(a) (b) (c) (d)
3 4 3 4
Page 2 of 20 BOOST-12(161025)
, 9. Two persons P and Q of same height are carrying a uniform beam of length 3m. If Q
is at one end, the distance of P from the other end so that P, Q receive loads in the
ratio 5 : 3 is
(a) 0.5 m (b) 0.6 m (c) 0.75 m (d) 1 m
10. A uniform meter scale of mass 1 kg is placed on table such that a part of the scale is
beyond the edge. If a body of mass 0.25 kg is hung at the end of the scale then the
minimum length of scale that should lie on the table so that it does not tilt is
(a) 90 cm (b) 80 cm (c) 70 cm (d) 60 cm
11. A metallic cube of side length 1.5 m and of mass 3.2 metric ton is on horizontal rough
floor. The minimum horizontal force that should be applied on the cube at a height
1.2 m from that floor to turn the cube about its lower edge is
(a) 1.96 103 N (b) 4.9 103 N (c) 1.96 10 4 N (d) 4.9 104 N
12. Four identical solid spheres each of mass M and radius R are fixed at four corners of
a light square frame of side length 4R such that centres of spheres coincide with
corners of square. The moment of inertia of 4 spheres about an axis perpendicular
to the plane of frame and passing through its centre is
21 MR 2 42 MR 2 84 MR 2 168MR 2
(a) (b) (c) (d)
5 5 5 5
13. 2
A wheel at rest has MI kgm 2 . It is rotated by a 60 W motor for one minute. The
2
number of rotations made by the wheel in one minute is.
(a) 90 (b) 450 (c) 1800 (d) 1200
14. The work done in increasing the angular frequency of a circular ring of mass 2kg and
radius 25cm from 10 rpm to 20 rpm about its axis
(a) 0.2054 J (b) 0.2040 J (c) 0.2085 J (d) 0.2004 J
15. The moment of inertia of a wheel of radius 20cm is 40kgm2 if a tangential force of
80N applied on the wheel, its rotational K.E. after 4s is
(a) 16.2 J (b) 51.2 J (c) 25.6 J (d) 24.8 J
16. The position of a particle is given by r = iˆ + 2 ˆj − kˆ and its momentum is p = 3iˆ + 4 ˆj − 2kˆ
The angular momentum is perpendicular to
(a) x-axis (b) y-axis (c) z-axis
(d) line at equal angles to all the axes
17. A child is standing with folded hands at the centre of a platform rotating about its
central axis. The K.E. of the system is K. The child now stretches his arms so that
the MI of the system doubles. The K.E of the system now is
(a) 2K (b) K/2 (c) 4K (d) K/4
18. A ballet dancer spins about a vertical axis at 60rpm with his arms closed. Now he
stretches his arms such that MI increases by 50%. The new speed of revolution is
(a) 80 rpm (b) 40 rpm (c) 90 rpm (d) 30 rpm
19. A uniform circular disc of radius R is rotating about its own axis with moment of
inertia I at an angular velocity If a denser particle of mass m is gently attached to
the rim of disc than its angular velocity is
I + mR 2 I
(a) (b) I ( I + mR ) (c) (d)
I I + mR 2
Page 3 of 20 BOOST-12(161025)
BURHANPUR
Class: XI (Late Admission) NEET_ BOOST Date: 16.10.25
Duration : 180 Minutes Important Instructions M.M.:720
Topics Covered
PHYSICS: Rotational Motion + Elasticity
CHEMISTRY: Chemical + Ionic Equilibrium (upto last class)
BIOLOGY: Full Syllabus till 12th October
, PHYSICS
Single Answer type question.
1. If the earth is a point mass of 6 1024 kg revolving around the sun at a distance of
1.5 108 km and in time T = 3.14 107 s, then the angular momentum of the earth around
the sun is
(a) 1.2 1018 kg m2 / s (b) 1.8 1029 kg m2 / s (c) 1.5 1037 kg m2 / s (d) 2.7 1040 kg m2 / s
2. Two bodies have their moments of inertia I and 2I respectively about their axis of
rotation. If their kinetic energies of rotation are equal, their angular momentum will
be in the ratio
(a) 1 : 2 (b) 2 :1 (c) 2 : 1 (d) 1 : 2
3. A thin circular ring of mass M and radius R is rotating about its axis with a constant
angular velocity . Two objects each of mass m , are attached gently to the opposite
ends of a diameter of the ring. The ring now rotates with an angular velocity
M (M − 2m) M (M + 2m)
(a) (b) (c) (d)
M +m M + 2m M + 2m M
4. A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which
is fixed) with an angular velocity of 4 radian/s. The linear momentum of the disc is
(a) 1.2 kg-m/s (b) 1.0 kg-m/s (c) 0.6 kg-m/s (d) None of the above
5. If the earth contracts to half of its radius, the day is decreased by
(a) 18.0 hours (b) 22.0 hours (c) 2.5 hours (d) 12 hours
6. A block of mass m is attached at the end of an inextensible string which is wound
over a pulley of mass M and radius R as shown in figure. Assume that string does
not slide over the pulley. The acceleration of the block when released is
2mg 2mg mg mg
(a) (b) (c) (d)
m+M 2m + M 2m + M m+M
7. A solid cylinder of mass 4kg an radius 10 cm has two ropes wrapped around it, one
near each end. The cylinder is held horizontally by fixing the two free ends of the
cords to the hooks on the ceiling such that both the cords are exactly vertical. The
cylinder is released to fall under gravity. Find the tension along the strings
(a) 6.53 N (b) 5.23 N (c) 3.23 N (d) 4.43 N
8. An equilateral prism of mass m rests on a rough horizontal surface with coefficient
of friction . A horizontal force F is applied on the prism as shown. If the coefficient
of friction is sufficiently high so that the prism does not slide before toppling, the
minimum force required to topple the prism is
mg mg mg mg
(a) (b) (c) (d)
3 4 3 4
Page 2 of 20 BOOST-12(161025)
, 9. Two persons P and Q of same height are carrying a uniform beam of length 3m. If Q
is at one end, the distance of P from the other end so that P, Q receive loads in the
ratio 5 : 3 is
(a) 0.5 m (b) 0.6 m (c) 0.75 m (d) 1 m
10. A uniform meter scale of mass 1 kg is placed on table such that a part of the scale is
beyond the edge. If a body of mass 0.25 kg is hung at the end of the scale then the
minimum length of scale that should lie on the table so that it does not tilt is
(a) 90 cm (b) 80 cm (c) 70 cm (d) 60 cm
11. A metallic cube of side length 1.5 m and of mass 3.2 metric ton is on horizontal rough
floor. The minimum horizontal force that should be applied on the cube at a height
1.2 m from that floor to turn the cube about its lower edge is
(a) 1.96 103 N (b) 4.9 103 N (c) 1.96 10 4 N (d) 4.9 104 N
12. Four identical solid spheres each of mass M and radius R are fixed at four corners of
a light square frame of side length 4R such that centres of spheres coincide with
corners of square. The moment of inertia of 4 spheres about an axis perpendicular
to the plane of frame and passing through its centre is
21 MR 2 42 MR 2 84 MR 2 168MR 2
(a) (b) (c) (d)
5 5 5 5
13. 2
A wheel at rest has MI kgm 2 . It is rotated by a 60 W motor for one minute. The
2
number of rotations made by the wheel in one minute is.
(a) 90 (b) 450 (c) 1800 (d) 1200
14. The work done in increasing the angular frequency of a circular ring of mass 2kg and
radius 25cm from 10 rpm to 20 rpm about its axis
(a) 0.2054 J (b) 0.2040 J (c) 0.2085 J (d) 0.2004 J
15. The moment of inertia of a wheel of radius 20cm is 40kgm2 if a tangential force of
80N applied on the wheel, its rotational K.E. after 4s is
(a) 16.2 J (b) 51.2 J (c) 25.6 J (d) 24.8 J
16. The position of a particle is given by r = iˆ + 2 ˆj − kˆ and its momentum is p = 3iˆ + 4 ˆj − 2kˆ
The angular momentum is perpendicular to
(a) x-axis (b) y-axis (c) z-axis
(d) line at equal angles to all the axes
17. A child is standing with folded hands at the centre of a platform rotating about its
central axis. The K.E. of the system is K. The child now stretches his arms so that
the MI of the system doubles. The K.E of the system now is
(a) 2K (b) K/2 (c) 4K (d) K/4
18. A ballet dancer spins about a vertical axis at 60rpm with his arms closed. Now he
stretches his arms such that MI increases by 50%. The new speed of revolution is
(a) 80 rpm (b) 40 rpm (c) 90 rpm (d) 30 rpm
19. A uniform circular disc of radius R is rotating about its own axis with moment of
inertia I at an angular velocity If a denser particle of mass m is gently attached to
the rim of disc than its angular velocity is
I + mR 2 I
(a) (b) I ( I + mR ) (c) (d)
I I + mR 2
Page 3 of 20 BOOST-12(161025)
