Two bodies of equal masses revolve in circular orbits of radii R1 and R2 with the same period. Their centripetal forces are in the ratio

  • R2R12

  • R1R2

  • R1R22

  • R1R2

A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then:

  • The body may necessarily change direction

  • The body is sure to slow down

  • The body will necessarily continue to move in the same direction at the same speed

  • None of these

For a rocket moving in free space, the fraction of mass to be disposed of Off to attain a speed equal to two times the exhaust speed is given by (given e2 = 7.4)

  • 0.40

  •   0.37

  •   0.50

  •   0.86

The length of a spring is l1 and l2 when stretched with a force of 4 N and 5 N respectively. Its natural length is?

  • l2+l1

  • 2(l2-l1)

  • 5l1-4l2

  • 5I2-4l1

A simple pendulum hangs from the roof of a train moving on horizontal rails. If the string is inclined towards the front of the train, then train is-

  • Moving with constant velocity

  • In accelerated motion

  • In retarded motion

  • At rest

A lighter body and heavier body both are moving with same momentum and applied same retarding force. Their stoping distances are s1 and s2 respectively. Then the correct relation between s1 and s2-

  •  s1>s2

  •  s1<s2

  •  s1=s2

  • None of these

When a 5 kg plastic box is placed deep inside water, it accelerates at a rate of g/6. How much sand should be put inside the box so that it may accelerate down at the rate of g/6?

  •   2kg

  •   3kg

  •   4kg

  •   5kg

Let θ denote the angular displacement of a simple pendulum oscillating in a vertical plane. If the mass of bob is m, the tension in the string is mgcosθ-

  •   always 

  •   never

  •   at extreme

  •   at mean position

The graph for stopping time (t) versus mass (m) is shown in the figure. Then which one of the pairs is given?

       

  •   Momentum, force

  •   K.E., force

  •   Velocity, force

  •   None of these

A metal ring of mass m and radius R is placed on smooth horizontal table and is set rotating about its own axis in such a way that each part of the ring moves with a speed v. Tension in the ring is:

  •  mv2R

  •  mv22R

  •  mv22πR

  • None of these

Tension on the string at point P is T. The graph for tension (T) versus x is shown in the figure. Then the string is:

  •   massless

  •   massfull

  •   tension on every point on the string is same when the string is having finite mass 4

  •   None of these

While walking on ice one should take small steps to avoid slipping. This is because smaller steps ensure

  • Larger friction

  • Smaller friction

  • Larger normal force

  • Smaller normal force

A block is kept on a rough inclined plane with angle of inclination θ. The graph of net reaction (R) versus θ is:

 

  •  

  •  

  •  

  • (4) None of these

A block is placed on a rough horizontal plane. A time dependent horizontal force F=kt acts on the block. The acceleration time graph of the block is :

  •  

  •  

  •  

  •  

A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it:

  •   Increases

  •   decreases

  •   remains the same

  •   fluctuates erratically

A rod of length L and mass m is acted on by two unequal forces F1 and F2<F1 as shown in the following figure

The tension in the rod at a distance y from the end A is given by :

  •  F11-yL+F2yL

  •  F21-yL+F1yL

  •  F1-F2yL

  • None of the above

Two blocks 'A' and 'B' each of mass 'm' are placed on a smooth horizontal surface. Two horizontal force F and 2F are applied on both the blocks 'A' and 'B' respectively as shown in figure. The block A does not slide on block B. Then the normal reaction acting between the two blocks is:

  • F

  • F/2

  •  F3

  • 3F

Five persons A, B, C, D & E are pulling a cart of mass 100 kg on a smooth surface and the cart is moving with acceleration 3 m/s2 in east direction. When person 'A' stops pulling, it moves with acceleration 1 m/s2 in the west direction. When person 'B' stops pulling, it moves with acceleration 24 m/s2 in the north direction. The magnitude of the acceleration of the cart when only A & B pull the cart keeping their directions same as the old directions are:

  •   371 m/s2

  •   26 m/s2

  •   25 m/s2

  •   30 m/s2

A body moves along an uneven surface with constant speed at all points.

The normal reaction due to ground on the body is:

 

  • maximum at A

  • maximum at B

  • minimum at C

  • the same at A, B and C

Two masses, m and M, are connected by a light string passing over a smooth pulley. When mass m moves up by 1.4 m in 2 sec, the ratio mM is:

  • 1315

  • 1513

  • 97

  • 79

The engine of a car produces an acceleration of 4 m/s2 in the car. If this car pulls another car of the same mass, what will be the acceleration produced?

  • 8 m/s2

  • 2 m/s2

  • 4 m/s2

  • 12m/s2   

A truck and a car are moving with equal velocity. If equal retarding force is applied on each, then on applying the brakes both will stop after certain distance 

  • Truck will cover less distance before rest

  • Car will cover less distance before rest

  • Both will cover equal distance

  • None

A constant force acts on a body of mass 0.9 kg at rest for 10s. If the body moves a distance of 250 m, the magnitude of the force is 

  • 3 N

  • 3.5 N

  • 4.0 N

  • 4.5 N

A body of 5 kg is moving with a velocity of 20 m/s. If a force of 100 N is applied on it for 10 sec in the same direction as its velocity, what will now be the velocity of the body?

  • 200 m/s

  • 220 m/s

  • 240 m/s

  • 260 m/s

A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is  

  • Doubled

  • Quadrupled

  • Halved

  • Unchanged

If the overbridge is concave instead of being convex, the thrust on the road at the lowest position will be

  • mg+mv2r

  • mgmv2r

  • m2v2gr

  • v2gr

A car sometimes overturns while taking a turn. When it overturns, it is:

  • the inner wheel which leaves the ground first.

  • the outer wheel which leaves the ground first.

  • both the wheels leave the ground simultaneously.

  • either wheel leaves the ground first.

A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 meters. The acceleration due to gravity is 10 m/sec2. In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than 

  • θ=tan16

  • θ=tan12

  • θ=tan125.92

  • θ=tan14

A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance ‘r’. The speed of the particle is 

  • Proportional to r2

  • Independent of r

  • Proportional to r

  • Proportional to 1/r

Two masses M and m are attached to a vertical axis by weightless threads of combined length l. They are set in rotational motion in a horizontal plane about this axis with constant angular velocity ω. If the tensions in the threads are the same during motion, the distance 'x' of M from the axis is- 

  • MlM+m

  • mlM+m

  • M+mMl

  • M+mml

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