Embibe Experts Solutions for Chapter: Structure of Atom, Exercise 1: VITEEE 2017

Arrange the following particles in an increasing order of values of $\mathrm{e}/\mathrm{m}$ ratio: electron $\left(\mathrm{e}\right),$ proton $\left(\mathrm{p}\right),$ neutron $\left(\mathrm{n}\right)$ and $\mathrm{\alpha }$ -particle $\left(\mathrm{\alpha }\right)-$

The wavelengths of two photons are $2000 \mathrm{Å}$ and $4000 \mathrm{Å}$, respectively. What is the ratio of their energies?

The energies ${\mathrm{E}}_1$ and ${\mathrm{E}}_2$ of two radiations are $25 \mathrm{eV}$ and $50 \mathrm{eV}$, respectively. The relation between their wavelengths i.e., ${\mathrm{\lambda }}_1$ and ${\mathrm{\lambda }}_2$ will be

Ionisation energy of ${\text{He}}^{\text{+}}$ is $\text{19}\text{.6}\times {\text{10}}^{-18}\text{J}$ per atom. The energy of the first stationary state $\text{(n}\text{=}\text{1)}$ of ${\text{Li}}^{\text{2+}}$ per atom is

The value of Planck's constant is $6.63\times {10}^{-34}\mathrm{ }\mathrm{Js}$ and the velocity of light is $3.0\times {10}^8\mathrm{ }{\mathrm{ms}}^{-1}$. Which value is the closest to the wavelength in nanometers of a quantum of light, with a frequency of $8\times {10}^{15}\mathrm{ }{\mathrm{s}}^{-1}$?

The uncertainty in the position and velocity of particle are ${10}^{-10} \mathrm{m}$ and $5.27\times {10}^{-24} \mathrm{m} {\mathrm{s}}^{-1}$ ,respectively. Calculate the mass of the particle is $\left(\mathrm{h}=6.625\times {10}^{-34} \mathrm{Js}\right)$