AIPMT 2008 Main Mock Test

Which two of the following five physical parameters have the same dimensions?(a) energy density(b) refractive index(c) dielectric constant(d) Young's modulus(e) magnetic field

A particle moves in a straight line with a constant acceleration. It changes its velocity from $10{\text{ms}}^{-1}$ to $20{\text{ms}}^{-1}$ while passing through a distance of $135\text{m}$ in $t$ seconds. What is the value of $t$?

Water falls from a height of $60\text{m}$ at the rate of $15\text{kg/s}$ to operate a turbine. The losses due to frictional forces are $10\%$ of the energy. How much power is generated by the turbine? (Take $g=10{\text{m/s}}^2$)

A particle of mass $m$, charge $Q$, and kinetic energy $T$ enters a transverse uniform magnetic field of induction $\vec{B}$. After $3$ seconds, the kinetic energy of the particle will be:

If the uncertainty in position and momentum of a particle are equal, then the uncertainty in its velocity is: