A projectile is fired at angle θ with horizontal with initial speed u. If it breaks into two halves such that one half retraces its path, then the distance of hitting point of the other half from starting point is

1. u2sin2θg

2. 2u2sin2θg

3. u2sin2θ2g

4. u2sinθ2g

Subtopic:  Torque |
From NCERT
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The value of M, as shown, for which the rod will be in equilibrium is (rod is massless)

1.  1 kg

2.  2 kg

3.  4 kg

4.  6 kg

Subtopic:  Torque |
 85%
From NCERT
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The minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination 45° is

1.  2/7

2.  1/3

3.  1/2

4.  2/5

Subtopic:  Rolling Motion (OLD NCERT) |
 70%
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A wheel is rolling along a horizontal ground with a speed o 10 m/s. The magnitude of the velocity of the points at the extremities of the horizontal diameter of the wheel is equal to

(1) 210  m/s

(2) 10 m/s

(3) 10 m/s

(4) 102 m/s

Subtopic:  Rolling Motion (OLD NCERT) |
 72%
From NCERT
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A body of mass m is projected at a velocity v0
with an angle of projection θ. Angular momentum
L of body after time t w.r.to origin is proportional to:
1. Lt                                     2. Lt2
3. Lt0                                    4. Lt

Subtopic:  Angular Momentum |
From NCERT
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A mass M is moving with constant velocity parallel to the X-axis. Its angular momentum with respect to origin is:

1.  Zero

2.  Remains constant

3.  goes on increasing

4.  goes on decreasing

Subtopic:  Angular Momentum |
 77%
From NCERT
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If I is the moment of inertia of a solid sphere about an axis parallel to diameter of a shpere and at a distance x from it. Which of the following graph represents the variation of I with X?

Subtopic:  Moment of Inertia |
 59%
From NCERT
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A particle is rotating under the central force, in which one of the following quantities is constant:

1.  torque

2.  angular momentum

3.  linear momentum

4.  none of these

Subtopic:  Angular Momentum |
 84%
From NCERT
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A small object of uniform density rolls up a curved surface with an initial velocity \(v.\) It is reached upto a maximum height of \(\frac{3v^{2}}{4g}\) with respect to the initial position. The object is:

           

1. ring
2. solid sphere
3. hollow sphere
4. disc

Subtopic:  Rolling Motion (OLD NCERT) |
 76%
From NCERT
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A point is at (x, y, z). What is its moment of inertia about x-axis:

                          

1.  mx2+y2+z2

2.  mx2+y2

3.  my2+z2

4.  mx2+z2

Subtopic:  Moment of Inertia |
 82%
From NCERT
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