List of practice Questions

Entrepreneurship can be best described as
A person who improves an existing business is called
The legal term for brand is
Which of these theories involve taking a moderate amount of risk as a function of skill and not chance?
A bullet strikes a stationary ball kept at a height as shown. After collision, range of bullet is 120 m and that of ball is 30 m. Find initial speed of bullet. Collision is along horizontal direction. 
(Take g = 10 m/s2)
A bullet strikes a stationary ball kept at a height
The trajectory of projectile, projected from the ground is given by y=x-x2/20. Where x and y are measured in meter. The maximum height attained by the projectile will be
Two projectiles are projected at 30° and 60° with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is :
A hockey player hits the ball at an angle of 37° from the horizontal with an initial speed of 40 m/s (a right-angled triangle with one of the angles being 37° and their sides in the ratio of 6 : 8 : 10). Assume that the ball is in a vertical plane. The time at which the ball reaches the highest point of its path is:
A body is projected from the ground with a speed 10 m/s at angle 30° with the horizontal. The height of the body after 5 seconds of its projection is (Acceleration due to gravity = 10 m/s²)
If the maximum range of a projectile is $R$, then the maximum height reached by the projectile is
Two bodies of masses 12 kg and 6 kg are projected simultaneously with velocities 15 ms\(^{-1}\) and 20 ms\(^{-1}\) respectively from the top of a tower of height 25 m. The body of mass 12 kg is projected vertically upwards and the body of mass 6 kg is projected horizontally. The maximum height reached by the centre of mass of the system of two bodies from the ground is:
Among the following, velocity \( v \) - time \( t \) graph representing the motion of a vertically projected body is:
At any instant \( t \), the vertical distance \( Y \) and horizontal distance \( X \) of a projectile are given by \[ 2Y = 6t - g t^2 \quad \text{and} \quad X = 4t, \] The initial velocity of the projectile is:
The time of flight of a vertically projected stone is 8 s. The position of the stone after 6 s from the ground is
If a stone is projected at certain angle ‘θ’ with the horizontal such that its horizontal range is equal to its maximum height, then angle of projection ‘θ’ is
Two particles of equal mass ‘m’ move in a circle of radius ‘r’ under the action of their mutual gravitational attraction. The speed of each particle will be :
Given below are two statement:
statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g).
statement II : The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at the pole is maximum.
In the light of the above statements , choose the correct answer from the options given below
A car accelerate from it's Stationary position for 8 seconds and travels a distance of 280m. According to the mean value theorem, the speedometer at a certain time during accelaration must read exactly.
A truck moving at a constant speed of 72 km/h enters a curved path of radius of curvature measuring 120 m. It's total acceleration is:
Two planets \( A \) and \( B \) have radii \( R \) and \( 1.5R \), and densities \( \rho \) and \( \frac{\rho}{2} \) respectively. The ratio of acceleration due to gravity at the surface of \( B \) to \( A \) is:
In a Rutherford scattering experiment, when a projectile of charge \( Z_1 \) and mass \( M_1 \) approaches a target nucleus of charge \( Z_2 \) and mass \( M_2 \), the distance of closest approach is \( r_0 \). The energy of the projectile is:
If \( m \) is magnetic moment and \( B \) is the magnetic field, then the torque is given by:
A planet in a distant solar system is 10 times more massive than Earth and its radius is 10 times smaller. Given that the escape velocity from Earth's surface is 11 km/s, the escape velocity from the planet’s surface would be:
A magnetic field does not interact with:
Find the pole strength of a magnet of length 2 cm, if the magnetic field strength \( B \) at distance 10 cm from the centre of a magnet on the axial line of the magnet is \( 10^{-4} \, \text{T} \).