A large number of particles are placed around the origin, each at

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

251.

The moment of inertia of a thin rod of mass M and length L, about an axis perpendicularto the rod at a distance L4from one end is

  • ML26

  • ML212

  • 7 ML224

  • 7 ML248


252.

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

  • 96 h

  • 48 h

  • 6 h

  • 1.5 h


253.

A shell of mass 10 kg is moving with a velocity of 10 ms-1 when it blasts and forms two parts of mass 9 kg and 1 kg respectively. If the 1st mass is stationary, the velocity of the 2nd is

  • 1 m/s

  • 10 m/s

  • 100 m/s

  • 1000 m/s


 Multiple Choice QuestionsShort Answer Type

254.

A circular disc rolls down on an inclined plane without slipping. What fraction of its total energy is translational ?


Advertisement
255.

An infinite number of charges, each equal to q, are placed along the x-axis at x=1, x=2, x = 4, x=8 and so on. What is the potential at x = 0 due to this set of charges ?


 Multiple Choice QuestionsMultiple Choice Questions

256.

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of mass 2 kg moves with 8 ms-1 speed. If the third part flies off with 4 ms-1 speed, then its mass is

  • 3 kg

  • 5 kg

  • 7 kg

  • 17 kg


257.

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

               

  • 3g2L

  • gL

  • 2gL

  • 2g3L


258.

A solid uniform sphere resting on a rough horizontal plane is given a horizontal impulse directed through its centre so that it starts sliding with an initial velocity v0. When it finally starts rolling without slipping the speed of its centre is

  • 27 v0

  • 37 v0

  • 57 v0

  • 67 v0


Advertisement
259.

Three identical square plates rotate about the axes shown in the figure in such a way that their kinetic energies are equal. Each of the rotation axes passes through the centre of the square. Then the ratio of angular speeds ω1 : ω2 : ω3 is

             

  • 1 : 1 : 1

  • 2 : 2 : 1

  • 1 : 2 : 1

  • 1 : 2 : 2


Advertisement

260.

A large number of particles are placed around the origin, each at a distance R from the origin. The distance of the centre of mass of the system from the origin is

  • equal to R

  • less than equal to R

  • greater than R

  • greater than equal to R


B.

less than equal to R

As large number of particles is situated at a distance R from the origin. If particles are uniformly distributed and make a circular boundary around the origin, then centre of mass will be at the origin. While if the particles are not uniformly distributed, then centre of mass will lie between particle and origin. This implies the distance between centre of mass and origin is always less than equal to R.


Advertisement
Advertisement