Brand new Course Package released! Get 99% off your first purchase with code “99”. Find out more!
Back
0

Shopping cart

Close

No products in the cart.

Ajneesh

HomeAuthor: AjneeshPage 14

122. A hollow cylinder and a solid cylinder having the same mass and same diameter are released from rest simultaneously from the top of an inclined plane. Which will reach the bottom first

(a)   The solid cylinder (b)  The hollow cylinder (c)   Both will reach the bottom together (d)  The greater density Ans....

126. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The speed of its centre of mass when it reaches the bottom is

(a)    √(2gh) (b)    √(4/3 gh) (c)   √(3/4 gh) (d)   √(4g/h) Ans. b (4)

124. A solid cylinder rolls down an inclined plane from a height h. At any moment the ratio of rotational kinetic energy to the total kinetic energy would be

(a)      1 : 2 (b)     1 : 3 (c)     2 : 3 (d)    1 :...

121. A solid sphere (mass 2 M) and a thin hollow spherical shell (mass M) both of the same size, roll down an inclined plane, then

(a)  Solid sphere will reach the bottom first (b)  Hollow spherical shell will reach the bottom first (c)   Both will...

119. Part of the tuning arrangement of a radio consists of a wheel which is acted on by two parallel constant forces as shown in the fig. If the wheel rotates just once, the work done will be about (diameter of the wheel = 0.05m)

  (a)  0.062 J (b)  0.031 J (c)   0.015 J (d)  0.057 J Ans. b (42)

120. A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

(a)  Solid sphere (b)  hollow sphere (c)   Ring (d)  All same Ans. d (24)

117. A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be

(a)   2/3π2f2ml2 (b)   4/3 f2ml2 (c)    4π2f2ml2 (d)   Zero Ans. a (20)

116. If L, M and P are the angular momentum, mass and linear momentum of a particle respectively which of the following represents the kinetic energy of the particle when the particle rotates in a circle of radius R

(a)   L2/2M (b)  P2/2MR (c)   L2/2MR2 (d)   MP/2 Ans. c (16)

115. A fly wheel of moment of inertia I is rotating at n revolutions per sec. The work needed to double the frequency would be

(a)       2π2  In2 (b)      4π2  In2 (c)       6π2  In2 (d)      8π2  In2...

114. A wheel of radius r rolls without slipping with a speed v on a horizontal road. When it is at a point A on the road, a small jump of mud separates from the wheel at its highest point B and drops at point C on the road. The distance AC will be

(a)   v√r/g (b) 2v√r/g (c)  4v√r/g (d)  √3r/g Ans. c (20)

113. An engine develops 100 kW, when rotating at 1800 rpm. Torque required to deliver the power is

(a)           531 N–m (b)          570 N–m (c)           520 N–m (d)          551 N–m Ans. a (5)

110. If the rotational kinetic energy of a body is increased by 300% then the percentage increase in its angular momentum will be

(a)  600% (b)  150% (c)   100% (d)  1500% Ans. c (8)

A tangential force F is applied on a disc of radius R, due to which it deflects through an angle θ from its initial position. The work done by this force would be

(a)       FR (b)      Fθ (c)     FR/θ (d)    FRθ Ans. d (31)

108. If a body completes one revolution in Π sec then the moment of inertia would be

(a)       Equal to rotational kinetic energy (b)       Double of rotational kinetic energy (c)       Half of rotational...

107. Rotational kinetic energy of a given body about an axis is proportional to

(a)           Time period (b)          (Time period)2 (c)           (Time period)–1 (d)          (time period)–2 Ans.  d (11)

106. A circular disc has a mass of 1 kg and radius 40 cm. It is rotating about an axis passing through its centre and perpendicular to its plane with a speed of 10 rev/s. The work done in joules in stopping it would be

(a)       4 (b)      47.5 (c)      79 (d)     158 Ans. d (18)

105. A solid sphere of mass 1 kg rolls on a table with linear speed 1 m/s. Its total kinetic energy is

(a)       1 J (b)      0.5 J (c)      0.7 J (d)     1.4 J Ans. c (6)

104. A symmetrical body of mass M and radius R is rolling without slipping on a horizontal surface with linear speed v. Then its angular speed is

(a)   v/R (b)  Continuously increasing (c)   Dependent on mass (d)  Independent of radius (R) Ans. a (76)

103. The ratio of kinetic energies of two spheres rolling with equal centre of mass velocities is 2 : 1. If their radii are in the ratio 2 : 1; then the ratio of their masses will be

(a)    2:1 (b)   1:8 (c)    1:7 (d)   2√2:1 Ans. a (15)

102. A disc of radius 1m and 4 kg mass rolls on a horizontal plane without slipping in such a way that its centre of mass moves with a speed of 10 cm/s Its rotational kinetic energy is

(a)   0.01 erg (b)   0.02 joule (c)  0.03 joule (d) 0.01 joule Ans. d (60)

101. The speed of rolling of a ring of mass M changes from V to 3V. What is the change in its kinetic energy

(a)    3MV2        (b)   4MV2 (c)   6 MV2 (d)  8MV2 Ans. d (415)

100. A solid sphere is moving on a horizontal plane. Ratio of its transitional Kinetic energy and rotational energy is

(a)    1/5 (b)   5/2 (c)   3/5 (d)   5/7 Ans. b (7)

99. Ratio of kinetic energy and rotational energy in the motion of a disc is

(a)    1 : 1 (b)    2 : 7 (c)    1 : 2 (d)   3 : 1 Ans. ...

98.

A body of moment of inertia of 3kg-m2 rotating with an angular speed of 2 rad/sec has the same kinetic...

92.

The moment of inertia of a body about a given axis is 2.4 kg–m2.  To produce a rotational kinetic energy...

90.

In a bicycle the radius of rear wheel is twice the radius of front wheel.  If rF and rr are the radii,...

85.

A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and center of mass with...

69.

If I1 is the moment of inertia of a thin rod about an axis perpendicular to its length and passing...

67.

A circular disc A of radius r is made from an iron plate of thickness t and another circular disc...

97. A body is rolling without slipping on a horizontal plane. If the rotational energy of the body is 40% of the total kinetic energy, then the body might be

(a)  Cylinder (b)  Hollow sphere (c)   Solid cylinder (d)  Ring Ans. b (13)

96. A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is

(a)  2/5 (b)  2/7 (c)  3/5 (d)  3/7 Ans. b (4)

95. A thin hollow cylinder open at both ends:

(i) Slides without rotating (ii) Rolls without slipping, with the same speed. The ratio of kinetic energy in the two...

94. The ratio of rotational and translatory kinetic energies of a sphere is

(a)  2/9 (b)  2/7 (c)  2/5 (d)  7/2 Ans. c (9)

93. A solid sphere of mass 500 gm and radius 10 cm rolls without slipping with the velocity 20cm/s. The total kinetic energy of the sphere will be

(a)  0.014 J (b)  0.028 J                                            (c)   280 J (d)  140 J Ans. a (53)

80. The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in the figure. Its speed of motion will be maximum at the point

  (a)      C (b)      A (c)      B (d)      D Ans. b (9)

89. A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be

(a)    K2/R2 (b)    K2/K2+R2 (c)     R2/K2+R2 (d)     K2+R2/R2 Ans. b (9)

87. A stick of length l and mass M lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass m moving with speed v collides elastically with the stick as shown in the figure. If after the collision ball comes to rest, then what should be the mass of the ball

(a)  m=2M (b) m=M (c)  m=M/2 (d) m=m/4 Ans. d (13)

A cubical block of side α is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is

  (a)   3v/4a (b)  3v/2a (c)  √3v/√2a (d)  Zero Ans. a (6)

84. A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω . Another disc of same dimension but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is

(a)   2ω/5 (b) 2ω/√5 (c) 4ω/5 (d) 4ω/√5 Ans. c (17)

82. A uniform disc of mass M and radius R is rotating about a horizontal axis passing through its centre with angular velocity ω. A piece of mass m breaks from the disc and flies off vertically upwards. The angular speed of the disc will be

(a)    (M-2m)ω/(M-m) (b)    (M+2m)ω/(M+m) (c)    (M-2m)ω/(M+m) (d)   (M+2m)ω/(M-m) Ans. a (197)

Popular posts

NEET 2026 FAQ – Syllabus, Exam Date, Preparation Tips & Course (Flame Institute)
SSC GD 2026, Notification, Apply Online, Vacancy, Eligibility, Exam Date, Syllabus, Online Form, Age Limit, PET/PST, Selection Process
KVS NVS Study Notes 2026 PDF for PGT, TGT, PRT study material | pdf download | book pdf | & More

Sign up to receive latest updates

Get in touch

Call us directly?

9888949978

Address

Flame Institute SCF 18 Near Chawla Lights Phase 7 Mohali

Email

FlameInstitute@gmail.com
Need some help?
Popular subjects
Need some help?

Youtube

2,3M Subribe

Facebook

2,3M Subribe

Instagram

2,3M Subribe

Twitter

2,3M Subribe
  • © 2025 Flame Institute.All rights reserved.
English
USD
error: Content is protected !!
Courses
Search

Search

    ArticlesCart