Home
Current Affairs January 2024

What is the correct answer?

4

If α and u are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by

A. T = u sin 2α/g

B. T = u sin²α/g

C. T = u sin²α/2g

D. T = 2u sinα/g

Correct Answer :

D. T = 2u sinα/g


Related Questions

What is the correct answer?

4

The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

A. ½ sec

B. 1 sec

C. 1.2 sec

D. 1.5 sec

What is the correct answer?

4

If the gravitational acceleration at any place is doubled, the weight of a body, will

A. Be reduced to half

B. Be doubled

C. Not be affected

D. None of these

What is the correct answer?

4

A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

A. 16 m/sec

B. 18 m/sec

C. 20 m/sec

D. 22 m/sec

What is the correct answer?

4

A smooth cylinder lying on its convex surface remains

A. In stable equilibrium

B. In unstable equilibrium

C. In neutral equilibrium

D. Out of equilibrium

What is the correct answer?

4

For a self-locking machine, the efficiency should be

A. Less than 60%

B. 50 %

C. More than 50%

D. None of these

What is the correct answer?

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)

What is the correct answer?

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

What is the correct answer?

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

What is the correct answer?

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

What is the correct answer?

4

The member which does not carry zero force in the structure shown in below figure, is

A. ED

B. DC

C. BC

D. BD

What is the correct answer?

4

The resultant of the forces acting on a body will be zero if the body

A. Rotates

B. Moves with variable velocity in a straight line

C. Moves along a curved path

D. Does not move at all

What is the correct answer?

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

What is the correct answer?

4

The Centre of gravity of a 10 × 15 × 5 cm T-section from its bottom, is

A. 7.5 cm

B. 5.0 cm

C. 8.75 cm

D. 7.85 cm

What is the correct answer?

4

The C.G. of a right circular cone lies on its axis of symmetry at a height of

A. h/2

B. h/3

C. h/4

D. h/5

What is the correct answer?

4

The Law of Polygon of Forces states that

A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium

B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon

C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order

D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium

What is the correct answer?

4

A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called

A. Simple pendulum

B. Compound pendulum

C. Second's pendulum

D. None of these

What is the correct answer?

4

A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

A. 1346.3 kN and 1500 kN

B. 1436.2 kN and 1250 kN

C. 1346.3 kN and 1250 kN

D. 1436.2 kN and 1500 kN

What is the correct answer?

4

The resultant of two forces P and Q acting at an angle θ, is

A. P2 + Q2 + 2P sin θ

B. P2 + Q2 + 2PQ cos θ

C. P2 + Q2 + 2PQ tan θ

D. √(P2 + Q2 + 2PQ cos θ)

What is the correct answer?

4

The following is not a law of static friction:

A. The force of friction always acts in a direction opposite to that in which the body tends to move

B. The force of friction is dependent upon the area of contact

C. The force of friction depends upon the roughness of the surface

D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

What is the correct answer?

4

A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be

A. 48 kg

B. 60 kg

C. 72 kg

D. None of these

What is the correct answer?

4

A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is:

A. 40 g

B. 60 g

C. 80 g

D. 100 g

What is the correct answer?

4

For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

A. α = π/4 - β/2

B. α = π/2 + β/2

C. α = β/2 - π/2

D. α = π/4 - β/2

What is the correct answer?

4

If the angular distance, 0 = 2t3 - 3t², the angular acceleration at t = 1 sec. is

A. 1 rad/sec²

B. 4 rad/sec²

C. 6 rad/sec²

D. 12 rad/sec²

What is the correct answer?

4

The unit of Moment of Inertia of a body, is

A. m

B. m2

C. m3

D. m4

What is the correct answer?

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

What is the correct answer?

4

The vertical reaction at the support A of the structure shown in below figure, is

A. 1 t

B. 2 t

C. 3 t

D. 3.5 t

What is the correct answer?

4

A point subjected to a number of forces will be in equilibrium, if

A. Sum of resolved parts in any two directions at right angles, are both zero

B. Algebraic sum of the forces is zero

C. Two resolved parts in any two directions at right angles are equal

D. Algebraic sum of the moments of the forces about the point is zero

What is the correct answer?

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'

What is the correct answer?

4

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A. 20 kg

B. 25 kg

C. 30 kg

D. 35 kg

What is the correct answer?

4

The locus of the instantaneous centre of a moving rigid body, is

A. Straight line

B. Involute

C. Centroid

D. Spiral