Home
Current Affairs January 2024

What is the correct answer?

4

If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

A. u² sin α/g

B. u² sin² α/g

C. u² sin α/2g

D. u² sin² α/2g

Correct Answer :

A. u² sin α/g


Related Questions

What is the correct answer?

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

What is the correct answer?

4

A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

A. 40 sec

B. 30 sec

C. 20 sec

D. 15 sec

What is the correct answer?

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

What is the correct answer?

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

What is the correct answer?

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

What is the correct answer?

4

The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

A. 64 J

B. 400 J

C. 464 J

D. 89 J

What is the correct answer?

4

A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

A. Vertical component of velocity remains constant

B. Horizontal component of velocity remains constant

C. Speed of the ball remains constant

D. Kinetic energy of the ball remains constant

What is the correct answer?

4

One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

A. A simple harmonic motion

B. A rectilinear motion with constant speed

C. A damped oscillatory motion

D. None of the above

What is the correct answer?

4

Coefficient of friction depends on

A. Nature of surfaces only

B. Area of contact only

C. Both (A) and (B)

D. None of the above

What is the correct answer?

4

The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity The correct answer is

A. Only (i)

B. Both (ii) and (iii)

C. Both (i) and (iii)

D. All are correct

What is the correct answer?

4

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

What is the correct answer?

4

A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is

A. 0.25

B. 0.33

C. 0.40

D. 0.50

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

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 stone is whirled in a vertical circle, the tension in the string, is maximum

A. When the string is horizontal

B. When the stone is at the highest position

C. When the stone is at the lowest position

D. At all the positions

What is the correct answer?

4

Minimum pull in a suspended cable with supports at two ends is equal to

A. Horizontal thrust

B. Support reactions

C. Resultant of horizontal thrust and support reaction

D. Half the weight of the cable

What is the correct answer?

4

The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface

A. Uneven distribution of the gravitational field

B. Gravity of the sun and the moon

C. Aerodynamic forces

D. None of these

What is the correct answer?

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°

What is the correct answer?

4

When a body moves round a fixed axis, it has

A. A rotary motion

B. A circular motion

C. A translatory

D. A rotary motion and translatory motion

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

0.For maximum range of a projectile, the angle of projection should be

A. 30°

B. 45°

C. 60°

D. None of these

What is the correct answer?

4

If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line The correct answer is

A. (i) and (ii)

B. (i) and (iii)

C. Only (i)

D. All (i), (ii) and (iii)

What is the correct answer?

4

If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

A. v = ω √(y² - r²)

B. y = ω √(y - r)

C. v = ω √(r² + y²)

D. v = ω √(r² - y²)

What is the correct answer?

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

What is the correct answer?

4

For a non-concurrent force system to be in equilibrium

A. Only the closure of force polygon is sufficient

B. Only the closure of funicular polygon is sufficient

C. Both force polygon and funicular polygon must close

D. None of the above

What is the correct answer?

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

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

If v and ω are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius r, will be

A. r/v²

B. v²/r

C. r/ω²

D. ω²/r

What is the correct answer?

4

Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

A. 350 m

B. 375 m

C. 400 m

D. 425 m

What is the correct answer?

4

A pilot flies a small plane in a vertical loop of radius r. At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is g, the speed of the plane at the top of its trajectory would be

A. Zero

B. Infinite

C. gr

D. 2gr