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Current Affairs January 2024

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4

The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)

A. ω/2π

B. 2π/ω

C. 2π × ω

D. π/ω

Correct Answer :

B. 2π/ω


Related Questions

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4

One watt is equal to

A. 0.1 joule/s

B. 1 joule/s

C. 10 joules/s

D. 100 joules/s

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4

The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

A. 2π. √(gh/kG² + h²)

B. 2π. √(kG² + h²/gh)

C. 1/2π. √(gh/kG² + h²)

D. 1/2π. √(kG² + h²/gh)

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4

Which of the following is not the unit of power?

A. kW (kilowatt)

B. hp (horse power)

C. kcal/sec

D. kcal/kg sec

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4

Moment of inertia is the

A. Second moment of force

B. Second moment of area

C. Second moment of mass

D. All of these

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4

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

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4

Angle of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

C. The ratio of minimum friction force to the friction force acting when the body is just about to move

D. The ratio of minimum friction force to friction force acting when the body is in motion

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4

The unit of moment of inertia of an area is

A. kg-m2

B. kg-m-s2

C. kg/m2

D. m4

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4

Which is the correct statement about law of polygon of forces?

A. If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium

B. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium

C. If a polygon representing forces acting at a point is closed then forces are in equilibrium

D. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium

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4

When two elastic bodies collide with each other,

A. The two bodies will momentarily come to rest after collision

B. The two bodies tend to compress and deform at the surface of contact

C. The two bodies begin to regain their original shape

D. All of the above

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4

Which of the following statement is correct?

A. The periodic time of a particle moving with simple harmonic motion is the time taken by a particle for one complete oscillation.

B. The periodic time of a particle moving with simple harmonic motion is directly proportional to its angular velocity.

C. The velocity of the particle moving with simple harmonic motion is zero at the mean position.

D. The acceleration of the particle moving with simple harmonic motion is maximum at the mean position.

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4

The moment of a force

A. Is the turning effect produced by a force, on the body, on which it acts

B. Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force

C. Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken

D. All of the above

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4

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

A. Change

B. Does not change

C. Changes periodically

D. None of these

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4

The C.G. of a solid hemisphere lies on the central radius 3r

A. At distance from the plane base 3r

B. At distance from the plane base 3r

C. At distance from the plane base 3r

D. At distance from the plane base

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4

The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis. (where h = Height of a right circular solid cone.)

A. h/2

B. h/3

C. h/4

D. h/6

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4

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

A. Circular arc

B. Parabola

C. Hyperbola

D. Elliptical

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4

A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if

A. The floor is smooth, the wall is rough

B. The floor is rough, the wall is smooth

C. The floor and wall both are smooth surfaces

D. The floor and wall both are rough surfaces

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4

Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

A. g (m1 - m2)/(m1 + m2)

B. 2g (m1 - m2)/(m1 + m2)

C. g (m1 + m2)/(m1 - m2)

D. 2g (m1 + m2)/(m1 - m2)

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4

The friction experienced by a body, when at rest, is known as

A. Static friction

B. Dynamic friction

C. Limiting friction

D. Coefficient of friction

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4

The ratio of static friction to dynamic friction is always

A. Equal to one

B. Less than one

C. Greater than one

D. None of these

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4

The force induced in the string AB due to the load W, as shown in the below figure is

A. W sinθ

B. W cosθ

C. W secθ

D. W cosecθ

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4

A force acting on a body may

A. Change its motion

B. Balance the other forces acting on it

C. Retard its motion

D. All of the above

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4

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

A. β/2

B. 30° + β/2

C. 45° + β/2

D. 60° + β/2

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4

Which of the following is not the unit of energy?

A. kg m

B. kcal

C. Watt

D. Watt hours

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4

In order to completely specify angular displacement by a vector, it must fix

A. Direction of the axis of rotation

B. Magnitude of angular displacement

C. Sense of angular displacement

D. All of these

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4

The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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4

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

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4

The coefficient of friction depends on

A. Area of contact

B. Shape of surfaces

C. Strength of surfaces

D. Nature of surface

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4

A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

A framed structure is imperfect, if the numbers of members are __________ (2j - 3).

A. Equal to

B. Less than

C. Greater than

D. Either (B) or (C)

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4

Mass moment of inertia of a thin rod about its one end is __________ the mass moment of inertia of the same rod about its midpoint

A. Same as

B. Twice

C. Thrice

D. Four times