List of top Physics Questions

For the following question, enter the correct numerical value up to TWO decimal places. If the numerical value has more than two decimal places, round-off the value to TWO decimal places. (For example: Numerical value 5 will be written as 5.00 and 2.346 will be written as 2.35) A mass of 50 kg is raised through a certain height by a machine whose efficiency is 90%, the energy spent is 5000 J. If the mass is now released, its KE on hitting the ground shall be _____ J
For the following question, enter the correct numerical value up to TWO decimal places. If the numerical value has more than two decimal places, round-off the value to TWO decimal places. (For example: Numerical value 5 will be written as 5.00 and 2.346 will be written as 2.35) A particle is thrown with velocity \( u \) making angle \( \theta \) with vertical. It just crosses the top of two poles each of height \( h \) after 1 s and 3 s respectively. The maximum height of the projectile is _____
Moment of inertia of a thin rod of mass \(M\) and length \(L\) about an axis passing through its centre is \(\dfrac{ML^2}{12}\). Its moment of inertia about a parallel axis at a distance of \(\dfrac{L}{4}\) from this axis is given by:
A particle at rest on a frictionless table is acted upon by a horizontal force which is constant in magnitude and direction. A graph is plotted for the work done on the particle \(W\) against the speed of the particle \(v\). If there are no frictional forces acting on the particle, the graph will look like:
A uniform rod of length \(L\) and mass \(3m\) is held vertically hinged at its base. A mass \(m\) moving horizontally with velocity \(v\) strikes the rod at the top and sticks to it. The angular velocity with which the rod hits the ground is:
In the relation \(y = r\sin(\omega t - kx)\), the dimensional formula of \(\dfrac{\omega}{k}\) is:
For the following question, enter the correct numerical value up to TWO decimal places. If the numerical value has more than two decimal places, round-off the value to TWO decimal places. (For example: Numerical value 5 will be written as 5.00 and 2.346 will be written as 2.35) A mass of 3 kg descending vertically downwards supports a mass of 2 kg by means of a light string passing over a pulley. At the end of 5 s the string breaks. How much high from now the 2 kg mass will go? _____ m
A juggler maintains four balls in motion making each of them to rise a height of 20 m from his hand. What time interval should be maintained for the proper distance between them?
Acceleration (\(a\)) – displacement (\(s\)) graph of a particle moving in a straight line is as shown in the figure. The initial velocity of the particle is zero. The \(v\)-\(s\) graph of the particle would be:
You measure two quantities as \(A = 1.0 \pm 0.2\,\text{m}\), \(B = 2.0 \pm 0.2\,\text{m}\). What should be the correctly reported value for \(\sqrt{AB}\)?
The area of the acceleration–displacement curve of a body gives:
A particle is released from a height \(H\). At a certain height its kinetic energy is two times its potential energy. Height and speed of the particle at that instant are:
A solid sphere and a solid cylinder of the same mass are rolled down two inclined planes of heights \(h_1\) and \(h_2\). If at the bottom of the planes the two objects have the same linear velocity, then the ratio \(h_1:h_2\) is:
If $\vec A + \vec B + \vec C = 0$, then $\vec A \times \vec B$ is equal to:
A ladder of length \(l\) and mass \(m\) is placed against a smooth vertical wall, but the ground is rough. The coefficient of friction between the ground and the ladder is \(\mu\). The angle \(\theta\) at which the ladder will stay in equilibrium is:
A balloon of mass \(M\) is descending with a constant acceleration \(\alpha\). When a mass \(m\) is released from the balloon, it starts rising with the same acceleration \(\alpha\). Assuming that the volume of the balloon does not change, the value of \(m\) is:
A cubical block of side \(a\) is moving with velocity \(v\) on a horizontal smooth plane as shown in the figure. It hits a ridge at point \(O\). The angular speed of the block after it hits \(O\) is:
A motor drives a body along a straight line with a constant force. The power \(P\) developed by the motor must vary with time \(t\) as:
A particle of mass \(m = 5\) units is moving with a uniform speed \(v = 3\sqrt{2}\) units in the \(x\!-\!y\) plane along the line \(y = x + 4\). The magnitude of angular momentum about the origin is:
The mass of a spaceship is \(1000\,\text{kg}\). It is to be launched from the earth's surface out into free space. The value of \(g\) and \(R\) (radius of earth) are \(10\,\text{m s}^{-2}\) and \(6400\,\text{km}\) respectively. The required energy of this spaceship will be:
A wave motion has the function \( y = a_0 \sin(\omega t - kx) \). The graph in the figure shows how the displacement \(y\) at a fixed point varies with time \(t\). Which one of the labelled points shows a displacement equal to that at the position \(x = \dfrac{\pi}{2k}\) at time \(t = 0\)?
A particle of mass \(10\,\text{g}\) is in a potential field given by \[ V = (50x^2 + 100)\ \text{J kg}^{-1}. \] The frequency of its oscillation in cycles/sec is:
For motion of an object along the \(x\)-axis, the velocity \(v\) depends on the displacement \(x\) as \[ v = 3x^2 - 2x. \] What is the acceleration at \(x = 2\,\text{m}\)?
A non-uniform rod \(AB\) of weight \(w\) is supported horizontally in a vertical plane by two light strings \(PA\) and \(PB\) as shown in the figure. \(G\) is the centre of gravity of the rod. If \(PA\) and \(PB\) make angles \(30^\circ\) and \(60^\circ\) respectively with the vertical, the ratio \(\dfrac{AG}{GB}\) is:
Vectors $\vec a$ and $\vec b$ include an angle $\theta$ between them. If $(\vec a+\vec b)$ and $(\vec a-\vec b)$ respectively subtend angles $\alpha$ and $\beta$ with $\vec a$, then $(\tan\alpha + \tan\beta)$ is: