AIEEE 2009 PYQ Mock Test

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance $u$ and the image distance $v$, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of $45^{\circ }$ with the x-axis meets the experimental curve at $P$. The coordinates of $P$ will be:

A thin uniform rod of length $l$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega$. Its centre of mass rises to a maximum height of:

Let $\rho (r)=\frac{Qr}{\pi R^4}$ be the charge density distribution for a solid sphere of radius $R$ and total charge $Q$. For a point '$p$ ' inside the sphere at distance $r_1$ from the centre of the sphere, the magnitude of electric field is:

The transition from the state $n=4$ to $n=3$ in a hydrogen-like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:

One kg of a diatomic gas is at a pressure of $8\times 10^4{\text{N/m}}^2$. The density of the gas is $4{\text{kg/m}}^3$. What is the energy of the gas due to its thermal motion?