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a spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of

(2/3)k

(3/2)k

3 k

6 k

A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed V, the electrical power output will be proportional to

V

V2

V3

V4

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

t1/2

t3/4

t3/2

t2

A force F= -K (yî+xj) (where k is a positive constant) acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x axis to the point (a,0), and then parallel to the y axis to the point (a,a), The total work done by the force F on the particle is

-2Ka2

2Ka2

-Ka2

Ka2

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is the work required to pull hanging part on to the table is

MgL

MgL/3

MgL/9

MgL/18

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

Its velocity is constant

Its acceleration is constant

Its kinetic energy is constant

It moves in a circular path.

(2/3)k

(3/2)k

3 k

6 k

A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed V, the electrical power output will be proportional to

V

V2

V3

V4

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

t1/2

t3/4

t3/2

t2

A force F= -K (yî+xj) (where k is a positive constant) acts on a particle moving in the xy plane. Starting from the origin, the particle is taken along the positive x axis to the point (a,0), and then parallel to the y axis to the point (a,a), The total work done by the force F on the particle is

-2Ka2

2Ka2

-Ka2

Ka2

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is the work required to pull hanging part on to the table is

MgL

MgL/3

MgL/9

MgL/18

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

Its velocity is constant

Its acceleration is constant

Its kinetic energy is constant

It moves in a circular path.

This is a test where questions are quite interesting , specially the one in which a cable lies partially on table . Highly recomm ended for AIEEE, IIT-JEE exams

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