AIEEE 2006 Mock Test

The maximum velocity of a particle executing simple harmonic motion with an amplitude $7\text{mm}$ is $4.4\text{m/s}$. The period of oscillation is:

A string is stretched between fixed points separated by $75\text{cm}$. It is observed to have resonant frequencies of $420\text{Hz}$ and $315\text{Hz}$. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is:

Assuming the sun to be a spherical body of radius $R$ at a temperature of $T\text{K}$, evaluate the total radiant power incident on Earth at a distance $r$ from the Sun. (where $r_0$ is the radius of the Earth and $\sigma$ is Stefan’s constant).

The refractive index of glass is $1.520$ for red light and $1.525$ for blue light. Let $D_1$ and $D_2$ be the angle of minimum deviation for red and blue light respectively in a thin prism of this glass. Then:

In a Wheatstone’s bridge, three resistances $P,Q$ and $R$ are connected in three arms and the fourth arm is formed by two resistances $S_1$ and $S_2$ connected in parallel. The condition for the bridge to be balanced is: