Pick up the correct statement from the following:
A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities
B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction 2 1 ( 1 − e 2 ) the original kinetic energy is lost by the impact
C. If a smooth sphere impinges on another sphere, which is at rest, the latter will move along the line of centres
D. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles
E. All the above
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Pick up the correct statement from the following:
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
D. All the above
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Pick up the incorrect statement from the following:
A. The C.G. of a circle is at its centre
B. The C.G. of a triangle is at the intersection of its medians
C. The C.G. of a rectangle is at the intersection of its diagonals
D. The C.G. of a semicircle is at a distance of r/2 from the centre
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The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity
A. Only (i)
B. Both (ii) and (iii)
C. Both (i) and (iii)
D. All are correct
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The frequency of oscillation on moon as compared to that on earth, will be
A. 2.44 times more
B. 2.44 times less
C. 3 times less
D. 3 times more
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The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
A. To be zero
B. To be maximum
C. To be minimum
D. None of these
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The intrinsic equation of catenary is
A. S = c tan ψ
B. y = c cosh c x
C. y = c cosh ψ
D. y = c sinh ψ
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Cartesian form of the equation of catenary is
A. y = c cosh c x
B. y = c sinh c x
C. y = c tan c x
D. y = c sin c x
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The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
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If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line
A. (i) and (ii)
B. (i) and (iii)
C. Only (i)
D. All (i), (ii) and (iii)
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The dimensions of power are
A. M2 L2 T-2
B. ML2 T-3
C. M2 LT-2
D. MLT-2
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The Law of Polygon of Forces states that
A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by t
C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side
D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
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A cube on a smooth horizontal surface
A. Cannot be in stable equilibrium
B. Cannot be in neutral equilibrium
C. Cannot be in unstable equilibrium
D. Can be in any of these states
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The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
A. 0.02 m
B. 2 m
C. 2.5 m
D. 20 m
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The rate of change of displacement of a body with respect to its surrounding, is known
A. Velocity
B. Acceleration
C. Speed
D. None of these
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A train weighing 196 tonnes experiences a frictional resistance of 5 22 11 per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
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A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
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A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t2 (t + 1), the acceleration of the particle, will be
A. 3t3 - 2t
B. 3t2 + 2t
C. 6t - 2
D. 6t + 2
E. 3t - 2
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A Seconds pendulum executes
A. 0.5 beat per second
B. 1.0 beat per second
C. 2.0 beats per second
D. 2.5 beats per second
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The forces which meet at one point and have their lines of action in different planes are called
A. Coplanar non-concurrent forces
B. Non-coplanar concurrent forces
C. Non-coplanar non-current forces
D. Intersecting forces
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