List of top Physics Questions on laws of motion

The logic performed by the circuit shown in the figure is equivalent to: 

A rocket of initial mass 6000 kg ejects gases at a constant rate of 16 kg/s with a constant relative speed of 11 km/s. What is the acceleration of the rocket one minute after the blast?
A light-emitting diode (LED) is fabricated using GaAs semiconductor material whose band gap is \( 1.42 \, \text{eV} \). The wavelength of light emitted from the LED is:
Point charge of \( 10 \, \mu C \) is placed at the origin. At what location on the X-axis should a point charge of \( 40 \, \mu C \) be placed so that the net electric field is zero at \( x = 2 \, \text{cm} \) on the X-axis?
A magnetic needle is kept in a non-uniform magnetic field. It experiences:
A cricket player catches a ball of mass 120 g moving with 25 m/s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit):
An aircraft executes a horizontal loop of radius 9 km at a constant speed of 540 km/h. The wings of the aircraft are banked at an angle of
Two solid spheres of radii \( r_1 \) and \( r_2 \) (\( r_2>r_1 \)) made of the same material are kept in contact. The distance of their center of mass from their point of contact is:
An object of mass \( m \) at a distance of \( 20R \) from the center of a planet of mass \( M \) and radius \( R \) has an initial velocity \( u \). The velocity with which the object hits the surface of the planet is: (G - Universal gravitational constant) \vspace{0.5cm}
A 60 kg man standing on a bridge, jumps vertically down onto a 540 kg boat moving in the river below him with a speed of 10 m/s. The change in the speed of the boat is:
The equation of motion of a damped oscillator is given by \( m\frac{d^{2}x}{dt^{2}}+b\frac{dx}{dt}+kx=0 \). The dimensional formula of \( \frac{b}{\sqrt{km}} \) is
A body is projected from the ground at an angle of \( \tan^{-1}\sqrt{7} \) with the horizontal. At half of the maximum height, the speed of the body is \( n \) times the speed of projection. The value of \( n \) is
A body P is projected at an angle of 30° with the horizontal and another body Q is projected at angle of 30° with the vertical. If the ratio of the horizontal ranges of the bodies P and Q is 1:2, then the ratio of the maximum heights reached by the bodies P and Q is
A body is falling freely from the top of a tower of height 125 m. The distance covered by the body during the last second of its motion is \(x\%\) of the height of the tower. Then \(x\) is (Acceleration due to gravity = 10 m/s\(^2\))
The energy required to take a body from the surface of the earth to a height equal to the radius of the earth is \( W \). The energy required to take this body from the surface of the earth to a height equal to twice the radius of the earth is:
A solid sphere and a disc of same mass \(M\) and radius \(R\) are kept such that their curved surfaces are in contact and their centers lie along the same horizontal line. The moment of inertia of the two body system about an axis passing through their point of contact and perpendicular to the plane of the disc is:

A body thrown vertically upwards from the ground reaches a maximum height ‘h’. The ratio of the kinetic and potential energies of the body at a height 40\% of h from the ground is

The maximum horizontal range of a ball projected from the ground is 32 m. If the ball is thrown with the same speed horizontally from the top of a tower of height 25 m, the maximum horizontal distance covered by the ball is: (Acceleration due to gravity \( g = 10 \, \text{m/s}^2 \)) \vspace{0.5cm}
If a body is dropped freely from a height of 20 m and reaches the surface of a planet with a velocity of 31.4 m/s, then the length of a simple pendulum that ticks seconds on the planet is:
A 60 kg man standing on a bridge, jumps vertically down onto a 540 kg boat moving in the river below him with a speed of 10 m/s. The change in the speed of the boat is:
A and B are two points of a string, in which a standing wave of wavelength \( \lambda \) is set up. If the distance between the points A and B is \( \frac{3\lambda}{4} \), then the phase difference between A and B is:
Consider the wave represented by the equation \( y = (0.02) \sin \left( \pi x + 8\pi t \right) \), where all quantities are in SI units. The wavelength and speed of this wave respectively are \( y = (0.02) \sin \left( \pi x + 8\pi t \right) \).

An alphabet 'a' made of two similar thin uniform metal plates of each length \( L \) and width \( a \) is placed on a horizontal surface as shown in the figure. If the alphabet is vertically inverted, the shift in the position of its center of mass from the horizontal surface is:

The displacement of a particle in simple harmonic motion is given by: \[ x = A_0 \cos \left( \frac{\pi}{2} t \right) \] The distance traveled by the particle in the interval between \( t = 2 \) and \( t = 5 \) seconds and its position at \( t = 5 \) second are:
Regarding fundamental forces in nature, the correct statement is