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Current Affairs January 2024

What is the correct answer?

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

Correct Answer :

B. T = 2π/ω


Related Questions

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4

The rate of change of displacement of a body with respect to its surrounding, is known

A. Velocity

B. Acceleration

C. Speed

D. None of these

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4

The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

A. Radially

B. Tangentially at that point

C. Away from the centre

D. Towards the centre

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4

The velocity of a moving body, is

A. A vector quantity

B. A scalar quantity

C. A scalar as well as a vector quantity

D. None of these

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4

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

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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

If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

A. 2 T

B. 1/2 T

C. √2 T

D. 3 T

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4

The necessary condition of equilibrium of a body is:

A. Algebraic sum of horizontal components of all the forces must be zero

B. Algebraic sum of vertical components of all the forces must be zero

C. Algebraic sum of the moments of the forces about a point must be zero

D. All (a), (b) and (c)

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4

The following is in unstable equilibrium

A. A uniform solid cone resting on a generator on a smooth horizontal plane

B. A uniform solid cone resting on its base on a horizontal plane

C. A solid cube resting on one edge

D. A satellite encircling the earth

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4

A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

A. 200 tonnes at the centre

B. 500 tonnes at the centre

C. 200 tonnes at the right support

D. 200 tonnes at the left support

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4

From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

A. 2.0 cm

B. 1.5 cm

C. 1.0 cm

D. 0.5 cm

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4

At the instantaneous center, the velocity of the moving lamina at any instant is

A. Zero

B. Maximum

C. Minimum

D. Varying

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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

Pick up the correct statement from the following:

A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities

B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction ½(1 - e2) the original kinetic energy is lost by the impact

C. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles

D. All the above

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4

The forces which meet at one point and have their lines of action in different planes are called

A. Coplanar non-concurrent forces

B. Non-coplanar concurrent forces

C. Non-coplanar non-current forces

D. Intersecting forces

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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

Rate of change of angular momentum is equal to

A. Force

B. Torque

C. Linear momentum

D. Impulse

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4

The point about which combined motion of rotation and translation of a rigid body takes place, is known as

A. Virtual centre

B. Instantaneous centre

C. Instantaneous axis

D. Point of rotation

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4

Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

A. 5.5 kg

B. 6.25 kg

C. 8.75 kg

D. 10.5 kg

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4

One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

A. 102.5 kg

B. 105.5 kg

C. 108.5 kg

D. 110 kg

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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

Cartesian form of the equation of catenary is

A. y = c cosh x/c

B. y = c sinh x/c

C. y = c tan x/c

D. y = c sin x/c

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4

The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

A. 0.1 rad/sec

B. 1 rad/sec

C. 10 rad/sec

D. 100 rad/sec

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4

Pick up the incorrect statement from the following. In a simple harmonic motion

A. Velocity is maximum at its mean position

B. Velocity is minimum at the end of the stroke

C. Acceleration is minimum at the end of the stroke

D. Acceleration is zero at the mean position

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4

If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is

A. wl/4y

B. wl/8y

C. wl/2y

D. wl

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4

A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

A. 0.25

B. 0.50

C. 0.75

D. 1.0

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4

Maximum efficiency of a screw jack for the angle of friction θ, is

A. sin θ/(1 + sin θ)

B. (1 - sin θ)/sin θ

C. (1 + sin θ)/(1 - sin θ)

D. (1 - sin θ)/(1 + sin θ)

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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

Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

A. Disc with larger density

B. Disc with smaller density

C. Both discs will have same rotational inertia

D. None of the above

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4

Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is

A. 2 sec

B. 3 sec

C. 4 sec

D. 5 sec

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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