AIEEE 2013 PYQ Mock Test

Statement – I : A point particle of mass $m$ moving with speed $v$ collides with stationary point particle of mass $M$. If the maximum energy loss possible is given as $f(\frac{1}{2}m{v}^2)$, then $f=\frac{m}{M+m}$.Statement – II : Maximum energy loss occurs when the particles get stuck together as a result of the collision.

The amplitude of a damped oscillator decreases to $0.9$ times its original magnitude in $5\text{s}$. In another $10\text{s}$ it will decrease to $\alpha$ times its original magnitude, where $\alpha$ equals:

Diameter of plano-convex lens is $6\text{cm}$ and thickness at the centre is $3\text{mm}$. If speed of light in material of lens is $2\times 10^8\text{m/s}$, the focal length of the lens is:

The magnetic field in a travelling electromagnetic wave has a peak value of $20\text{nT}$. The peak value of electric field strength is:

Two short bar magnets of length $1\text{cm}$ each have magnetic moments $1.20{\text{Am}}^2$ and $1.00{\text{Am}}^2$ respectively. They are placed on a horizontal table parallel to each other with their $N$ poles pointing towards the South. They have a common magnetic equator and are separated by a distance of $20.0\text{cm}$. The value of the resultant horizontal magnetic induction at the mid-point $O$ of the line joining their centres is close to ($B_H=3.6\times 10^{-5}{\text{Wb/m}}^2$):