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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

Correct Answer :

B. u² sin² α/2g


Related Questions

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4

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

A. Half oscillation

B. Quarter oscillation

C. Complete oscillation

D. None of these

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4

A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

A. 0.33

B. 0.44

C. 0.57

D. 0.67

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4

In simple harmonic motion, acceleration of a particle is proportional to

A. Rate of change of velocity

B. Displacement

C. Velocity

D. Direction

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4

If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

A. 30°

B. 45°

C. 60°

D. 120°

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4

The unit of moments in M.K.S system, is

A. kg.m

B. kg/m2

C. kg/sec2

D. kg/sec

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4

One half of a vibration of a body, is called

A. Period time

B. Oscillation

C. Beat

D. Amplitude

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4

In a simple harmonic motion, the position of equilibrium is always

A. Stable

B. Unstable

C. Neutral

D. None of the above

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4

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

A. 1.5

B. 5

C. 25

D. 314

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4

A system of coplanar forces is in equilibrium when

A. Force polygon closes

B. Funicular polygon closes

C. Both force polygon and funicular polygon close

D. All the forces are concurrent

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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

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4

A cube on a smooth horizontal surface

A. Cannot be in stable equilibrium

B. Cannot be in neutral equilibrium

C. Cannot be in unstable equilibrium

D. Can be in any of these states

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4

A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A. 6 m/sec

B. 12 m/sec

C. 24 m/sec

D. 48 m/sec

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4

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

A. Proportional to A

B. Proportional to A²

C. Proportional to 1/A²

D. Independent of A

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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

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

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

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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

If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

A. Zero

B. Maximum

C. Minimum

D. None of these

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4

A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

A. 0.5 m

B. 0.75 m

C. 1.0 m

D. 1.5 m

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4

To attain the synchronous orbit, the launch of a satellite, is done from a place

A. On equator

B. On 30° latitude

C. On 45° latitude

D. On the poles

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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

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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 tension in the string is

A. 17.5 kg

B. 19.5 kg

C. 22.5 kg

D. 25 kg

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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

A Seconds pendulum executes

A. 0.5 beat per second

B. 1.0 beat per second

C. 2.0 beats per second

D. 2.5 beats per second

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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

The shape of a suspended cable under its own weight, is

A. Parabolic

B. Circular

C. Catenary

D. Elliptical

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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

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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

Total no of instantaneous centres of a machine having n links, is

A. n/2

B. n

C. (n - 1)

D. n (n - 1)/2

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4

Select the correct statement

A. The body centrode rolls on the space centrode

B. The space centrode rolls on the body centrode

C. Both body and space centrodes may role on each other

D. The body centrode never touches space centrode