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Current Affairs January 2024

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4

Time period and length of a seconds pendulum respectively are

A. 1 sec and 99.4 cm

B. 1 sec and 92.7 cm

C. 2 sec and 99.4 cm

D. 2 sec and 92.7 cm

Correct Answer :

C. 2 sec and 99.4 cm


Related Questions

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4

Lami's theorem states that

A. Three forces acting at a point are always in equilibrium

B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium

C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two

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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

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4

For a given velocity of a projectile, the range is maximum when the angle of projection is

A. 30°

B. 45°

C. 90°

D.

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4

When a body falls freely under gravitational force, it possesses

A. Maximum weight

B. Minimum weight

C. No weight

D. No effect on its weight

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4

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

A. Downwards at its upper end

B. Upwards at its upper end

C. Perpendicular to the wall at its upper end

D. Zero at its upper end

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4

Which of the following is a scalar quantity?

A. Energy

B. Momentum

C. Torque

D. Impulse

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4

A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

A. E

B. E/2

C. 2E

D. 4E

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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

Equation of motion of a point in a straight line, is

A. v = u + ft

B. S = ut + ½ ft2

C. 2fS = v2 - u2

D. All the above

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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 stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

A. 5 sec

B. 8 sec

C. 10 sec

D. 20 sec

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4

A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

A. 1 m × 2 m

B. 2 m × 3 m

C. 1 m × 3 m

D. Equally stable on all faces

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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 velocity ratio of the lifting machine is

A. 50

B. 55

C. 60

D. 65

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4

For a simple pendulum, time period for a beat, is

A. π √(l/g)

B. π √(2l/g)

C. π √(g/2l)

D. π √(l/2g)

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4

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A. P = R

B. Q = R

C. P = Q

D. None of the above is correct

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4

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

A. 0.5 m/sec

B. 1.5 m/sec

C. 2.5 m/sec

D. 3.5 m/sec

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4

Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is

A. Maximum if it acts at the centre of gravity of the body

B. Different at different points on its line of

C. Same at every point on its line of action

D. Minimum if it acts at the C.G. of the body

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4

The velocity of a body fallen from height h, on reaching the ground is given by

A. v = 2gh

B. v = 2gh2

C. v = √(2gh)

D. v = 1/√(2gh)

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4

P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as

A. Equation of dynamics

B. Equation of dynamic equilibrium

C. Equation of statics

D. None of these

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4

The beam shown in below figure is supported by a hinge at A and a roller at B. The reaction RA of the hinged support A of the beam, is

A. 10.8 t

B. 10.6 t

C. 10.4 t

D. 10.2 t

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4

A funicular polygon cannot be made to pass through

A. One specified point

B. Two specified points

C. Three specified points

D. More than three specified points

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4

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

A. g(M1 + M2 sin α)/(M1 + M2) m/sec

B. g(M1 - M2 sin α)/(M1 + M2) m/sec²

C. g(M2 + M1 sin α)/(M1 + M2) m/sec²

D. g(M2 × M1 sin α)/(M2 - M1) m/sec²

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4

The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

A. (a² + ab + b²)/3 (a + b)

B. (b² + bc + c²)/3 (b + c)

C. (a² + ab + c²)/3 (a + c)

D. None of these

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4

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

A. The same line in the same sense

B. The same line in opposite sense

C. The perpendicular to both the lines

D. None of these

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4

A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

A. gra/h

B. √(gra/h)

C. 3√(gra/h)

D. 4√(gra/h)

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4

If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be

A. 1

B. 2

C. 3

D. 4

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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

If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A. A

B. A/2

C. A/√2

D. A√2

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4

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

A. Weight

B. Mass

C. Inertia

D. Momentum

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4

A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

A. 1/2

B. 3/2

C. 2

D. 3