AIEEE 2011 PYQ Mock Test

The transverse displacement $y(x,t)$ of a wave on a string is given by $y(x,t)=e^{-(a{x}^2+b{t}^2+2\sqrt{ab}xt)}$. This represents a:

A screw gauge gives the following reading when used to measure the diameter of a wire.Main scale reading : $0\text{mm}$ Circular scale reading : $52$ divisionsGiven that $1\text{mm}$ on main scale corresponds to $100$ divisions of the circular scale.The diameter of wire from the above data is:

A mass $m$ hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass $m$ and radius $R$. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass $m$, if the string does not slip on the pulley, is:

Work done in increasing the size of a soap bubble from a radius of $3\text{cm}$ to $5\text{cm}$ is nearly (Surface tension of soap solution $=0.03{\text{N m}}^{-1}$):

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc: