List of top Questions asked in LPUNEST

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:
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:
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 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:
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 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 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 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 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:
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:
If \(I_1\) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and \(I_2\) is the moment of inertia of the ring about an axis perpendicular to the plane of the ring and passing through its centre, formed by bending the rod, then:
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 \(x = 2\,\text{m}\)?
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:
Choose the correct order of adjectives to fill the blank. I used to drive ________ car.
Choose the right option to fill the gap. By the time you reach New Jersey, she ________ in New York.
Choose the right option to fill the gap. My cousin ________ her enrollment in the Indian military by the time I graduate.
A bullet of mass 50 g is fired from a gun of mass 2 kg. If the total kinetic energy produced is 2050 J, the energy of the bullet and the gun separately are:
Choose the correct order of adjectives to fill the blank. All the girls fell in love with the ________ teacher.
Choose the right option to fill the gap. At five o’clock day after tomorrow, he ________ for the train.
Choose the right option to fill the gap. Romeo ________ a new car when you meet him tomorrow in the showroom.
Choose the right option to fill the gap. Ranveer ________ PTE in December.
Select the answer choice that identifies the noun in the sentence. Sparta and Athens were enemies during the Peloponnesian War.
What does ‘they’ refer to? I asked at several shops for strawberries and the owners all told me they are out of season.
Choose the right option to fill the gap. At eight o'clock next week, you ________ on the beach.