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4

Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

A. 9.3 m/sec

B. 8.3 m/sec

C. 7.3 m/sec

D. 6.3 m/sec

Correct Answer :

A. 9.3 m/sec


Related Questions

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4

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

A. Algebraic sum of the resolved parts of the forces in the direction

B. Arithmetical sum of the resolved parts of the forces in the direction

C. Difference of the forces multiplied by cosine θ°

D. Sum of the forces multiplied by the tangent θ°

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4

Energy may be defined as

A. Power of doing work

B. Capacity of doing work

C. Rate of doing work

D. All the above

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4

If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

A. u² sin α/g

B. u² sin² α/g

C. u² sin α/2g

D. u² sin² α/2g

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4

The centre of gravity of a triangle is at the point where three

A. Medians of the triangle meet

B. Perpendicular bisectors of the sides of the triangle meet

C. Bisectors of the angle of the triangle meet

D. None of these

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4

The unit of rotational inertia of a body in C.G.S system is

A. cm4

B. kg.cm²

C. gm.cm²

D. gm.cm3

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4

The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known

A. Sliding friction

B. Rolling friction

C. Limiting friction

D. None of these

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4

A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is

A. 50 %

B. 40 %

C. 55 %

D. 30 %

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4

M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

A. π/64 (D4 + d4)

B. π/32 (D4 - d4)

C. π/32 (D4 + d4)

D. π/32 (D4 × d4)

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4

A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kgm² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

A. 50 J

B. 150 J

C. 200 J

D. 400 J

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4

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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4

For perfectly elastic bodies, the value of coefficient of restitution is

A. Zero

B. 0.5

C. 1.0

D. Between 0 and 1

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4

A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

A. 40 kg

B. 60 kg

C. 10 kg

D. 100 kg

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4

If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with

A. A uniform retardation

B. A uniform acceleration

C. A variable acceleration

D. A variable retardation

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4

Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above

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4

On a mass m describing a circular path of radius r, the centrifugal force

A. Acts tangentially to the circular path

B. Acts towards the centre of rotation

C. Acts away from the centre of rotation

D. Is mw2r/g kgf

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4

A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

A. Moon

B. Earth

C. Sun

D. Pole

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4

The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

A. 8.04 km/sec at a height of 285 km

B. 11.11 km/sec at a height of 37,400 km

C. 11.26 km/sec, the satellite escapes the pull of the earth

D. All the above

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4

The phenomenon of collision of two elastic bodies takes place because bodies

A. Immediately after collision come momentarily to rest

B. Tend to compress each other till they are compressed maximum possible

C. Attempt to regain its original shape due to their elasticities

D. All the above

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4

A number of forces acting simultaneously on a particle of a body

A. May not be replaced by a single force

B. May be replaced by a single force

C. May be replaced by a single force through C.G. of the body

D. May be replaced by a couple

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4

The maximum displacement of a particle executing S.H.M. corresponds to

A. Zero potential energy and maximum kinetic energy

B. Zero kinetic energy and maximum potential energy

C. Maximum kinetic energy and maximum potential energy

D. Minimum kinetic energy and minimum potential energy

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4

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

A. Rubber and lead balls undergo equal changes in momentum

B. Change in momentum suffered by lead ball is less that of rubber ball

C. Momentum of rubber ball is less than that of lead ball

D. None of these

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4

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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4

To attain the synchronous orbit, the launch of a satellite, is done from a place

A. On equator

B. On 30° latitude

C. On 45° latitude

D. On the poles

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4

Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

A. 2 m/sec and 2 m/sec

B. 3 m/sec and 2 m/sec

C. 3 m/sec and 3 m/sec

D. 4 m/sec and 6 m/sec

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4

The tension in a cable supporting a lift

A. Is more when the lift is moving downwards

B. Is less when the lift is moving upwards

C. Remains constant whether its moves downwards or upwards

D. Is less when the lift is moving downwards

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4

An ordinate in a funicular polygon represents

A. Shear force

B. Resultant force

C. Bending moment

D. Equilibrium

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4

The unit of force in C.G.S. system of units, is called

A. Dyne

B. Newton

C. Kg

D. All the above

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4

The diagram showing the point of application and line of action of forces in their plane is called

A. Vector diagram

B. Space diagram

C. Force diagram

D. Funicular diagram

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4

The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator

A. Eastward

B. Northward

C. Westward

D. Southward

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4

One Newton is equivalent to

A. 105 dyne

B. 106 dyne

C. 107 dyne

D. 108 dyne