Embibe Experts Solutions for Chapter: Dual Nature of Matter and Radiation, Exercise 1: Level 1

The ratio of the de Broglie wavelength of a particle to that of an electron is $1.813\times {10}^{-4}$. The mass of the particle, if it moves three times faster than the electron is $\mathrm{Y}\times {10}^{-29} \mathrm{kg}$. Then the value of $Y$ is: $\left({\mathrm{m}}_{\mathrm{e}}=9.1\times {10}^{-31}\mathrm{ }\mathrm{kg}\right)$ (Approximate the answer to nearest integer)

A particle of mass $11\times {10}^{-12} \mathrm{kg}$ is moving with a velocity $6\times {10}^{-7} \mathrm{m} {\mathrm{s}}^{-1}$. Its de-Broglie wavelength is nearly

If the momentum of electron is changed by $P,$ then the de Broglie wavelength associated with it changes by $0.5\%.$ The initial momentum of electron will be:

The wavelength ${\lambda }_{\mathrm{e}}$ of an electron and ${\lambda }_{\mathrm{p}}$ of a photon of same energy $E$ are related by:

A photon of wavelength $\lambda$ is absorbed by an electron confined to a box of length $\sqrt{\frac{35h\lambda }{8mc}}$. As a result, the electron makes a transition from state, $k=1$ to the state $n$. Subsequently, the electron transits from the state $n$ to the state $m$ by emitting a photon of wavelength, ${\lambda }^{\text{'}}=1.75\lambda$. Then,

Photon of frequency $\nu$ has a momentum associated with it. If $c$ is the velocity of light, the momentum is

A photosensitive surface is irradiated with light of wavelength $\lambda$, the stopping potential is $V$. When the same surface is irradiated with the light of wavelength $2\lambda$, stopping potential is $\frac{V}{3}$. The ratio of threshold wavelength $\left({\lambda }_{\max }\right)$ and the $\lambda$ is $x:1$. Write the value of $x$.

The graph between maximum kinetic energy and intensity of light in photoelectric effect is plotted. Out of the four graphs $A, B, C, D$ shown in the figure, the correct graph is