AIPMT 2009 Preliminary Mock Test

The mean free path of electrons in a metal is $4\times 10^{-8}\text{m}$. The electric field which can give on an average $2\text{eV}$ energy to an electron in the metal will be in units of $\text{V/m}$:

The ionization energy of the electron in the hydrogen atom in its ground state is $13.6\text{eV}$. The atoms are excited to higher energy levels to emit radiations of $6$ wavelengths. Maximum wavelength of emitted radiation corresponds to the transition between:

Under the influence of a uniform magnetic field, a charged particle moves with constant speed $V$ in a circle of radius $R$. The time period of rotation of the particle:

The electric field part of an electromagnetic wave in a medium is represented by $E_x=0$, $E_y=2.5\text{N/C}\cos [2\pi \times 10^6\frac{\text{rad}}{\text{s}}t-\pi \times 10^{-2}\frac{\text{rad}}{\text{m}}x]$, $E_z=0$. The wave is:

A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be: