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4

A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will

A. Never meet

B. Meet after 1 sec

C. Meet after 5 sec

D. Meet after 10 sec

Correct Answer :

D. Meet after 10 sec


Related Questions

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4

A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

A. 60 N

B. 80 N

C. 100 N

D. 120 N

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4

Which one of the following laws is not applicable to a simple pendulum?

A. The time period does not depend on its magnitude

B. The time period is proportional to its length l

C. The time period is proportional to l, where l is length

D. The time period is inversely proportional to g, where g is the acceleration due to gravity

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4

A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is θ and angle of friction is φ, the minimum value of P, is

A. w sin (φ - θ)/cos φ

B. w sin (θ - φ)/cos φ

C. w cos (θ + φ)/cos φ

D. w sinθ cos(θ - φ)/sin φ

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4

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

A. (h/3) × [(b + 2a)/(b + a)]

B. (h/3) × [(2b + a)/(b + a)]

C. (h/2) × [(b + 2a)/(b + a)]

D. (h/2) × [(2b + a)/(b + a)]

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4

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

A. [r (π + 0.25)]/(π - 0.5)

B. [r (π - 0.5)]/(π + 0.25)

C. [r (π - 0.25)]/(π - 0.5)

D. [r (π + 0.25)]/(π + 0.5)

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4

A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is

A. 17° 48'

B. 18° 48'

C. 19° 48'

D. 20° 48'

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4

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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4

The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are

A. Zero

B. 1

C. 2

D. Infinity

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4

In the structure shown in below figure, the member which carries zero force, is

A. AB

B. BC

C. BE

D. All the above

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4

In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

A. 50 and 75

B. 75 and 50

C. 75 and 75

D. 50 and 50

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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

The C.G. of the shaded area of the below figure from the x-axis is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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4

The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of

A. h/3

B. h/4

C. 2h/3

D. 3h/4

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4

The angle of friction is:

A. The ratio of the friction and the normal reaction

B. The force of friction when the body is in motion

C. The angle between the normal reaction and the resultant of normal reaction and limiting friction

D. The force of friction at which the body is just about to move

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4

The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Circle

B. Equilateral triangle

C. Rectangle

D. Right angled triangle

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4

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

A. u² cos² α/2g

B. u² sin² α/2g

C. u² tan² α/2g

D. u² sin 2α/2g

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4

A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

A. 5 N

B. 10 N

C. 15 N

D. 25 N

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4

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

A. Proportional to A

B. Proportional to A²

C. Proportional to 1/A²

D. Independent of A

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4

A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

A. 1.00 m/sec

B. 1.57 m/sec

C. 3.14 m/sec

D. 6.28 m/sec

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4

The shape of a suspended cable under its own weight, is

A. Parabolic

B. Circular

C. Catenary

D. Elliptical

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4

Pick up the correct statement from the following. The kinetic energy of a body

A. Before impact is equal to that after impact

B. Before impact is less than that after impact

C. Before impact is more than that after impact

D. Remain constant

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4

A satellite goes on moving along its orbit round the earth due to

A. Gravitational force

B. Centrifugal force

C. Centripetal force

D. None of these

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4

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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4

A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

A. 20 m/sec

B. 30 m/sec

C. 40 m/sec

D. 50 m/sec

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4

In case of S.H.M. the period of oscillation (T), is given by

A. T = 2ω/π²

B. T = 2π/ω

C. T = 2/ω

D. T = π/2ω

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4

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Upwards at its upper end

D. Downwards at its upper end

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4

To double the period of oscillation of a simple pendulum

A. The mass of its bob should be doubled

B. The mass of its bob should be quadrupled

C. Its length should be quadrupled

D. Its length should be doubled

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4

The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

A. 30°

B. 45°

C. 60°

D. 75°

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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

The reaction at the central support B of the beam ABC hinged at D shown in below figure is

A. 2 t

B. 5.8 t

C. 0.2 t

D. 3.5 t