Question
When would the wavelength associated with an electron be equal to the wavelength associated with a proton? Mass of electron $=9.1095 \times 10^{-28} \mathrm{~g} ;$ Mass of proton $=1.6725 \times 10^{-24} \mathrm{~g} \cdot \mathrm{OR}$
Calculate the velocity condition for the wavelength associated with a moving electron to be equal to the wavelength associated with a moving proton.
(Mass of electron $=9.11 \times 10^{-48} \mathrm{~g} ;$ Mass of proton $=1.67 \times 10^{-24} \mathrm{~g} ; \mathrm{h}=6.6 \times 10^{-34} \mathrm{Js} ; \mathrm{J}=\mathrm{kg} / \mathrm{m}^2 \mathrm{~s}^{-2}$. 

Answer

$\lambda_{\mathrm{e}}=\frac{\mathrm{h}}{\mathrm{~m}_{\mathrm{e}} \mathrm{~V}_{\mathrm{e}}}$
$\lambda_{\mathrm{p}}=\frac{\mathrm{h}}{\mathrm{~m}_{\mathrm{p}} \mathrm{~V}_{\mathrm{p}}}$
$\Rightarrow \lambda_{\mathrm{e}}=\lambda_{\mathrm{p}}$
$\lambda_{\mathrm{e}}=\text { wavelengh of electron }$
$\lambda_{\mathrm{p}}=\text { wavelength of proton }$
$\text { Where, } \mathrm{m}_{\mathrm{e}}=\text { mass of electron }$
$\mathrm{m}_{\mathrm{p}}=\text { mass of proton }$
$\mathrm{V}_{\mathrm{e}}=\text { velocity of electron }$
$\mathrm{V}_{\mathrm{p}}=\text { velocity ofproton, }$
$\Rightarrow \mathrm{m}_{\mathrm{e}} \mathrm{~V}_{\mathrm{e}}=\mathrm{m}_{\mathrm{p}} \mathrm{~V}_{\mathrm{p}}$
$\Rightarrow \frac{\mathrm{~V}_{\mathrm{e}}}{\mathrm{~V}_{\mathrm{p}}}=\frac{\mathrm{m}_{\mathrm{p}}}{\mathrm{~m}_{\mathrm{e}}}=\frac{1.6725 \times 10^{-24}}{9.1095 \times 10^{-28}}=1836$
$\Rightarrow \mathrm{~V}_{\mathrm{e}}=1836 \mathrm{~V}_{\mathrm{p}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Explain hybridisation in $NH _3$.
Arrange the following in increasing order of Lewis acid character:
$\mathrm{BF}_3, \mathrm{BFI}_3, \mathrm{BBr}_3 \text { and } \mathrm{BI}_3$
Why geometry of $BF _3$ is triangular while that of $NH _3$ is pyramidal? Give reason.
Hydrocarbon A (molecular formula is $C _5 H _8$ ) gave a white precipitate with ammoniacal silver nitrate. Oxidation of A with hot alkaline $KMnO _4$ gave 2-methyl propanoic acid. What is the structural formula of A?
(i) Bond length, depends on hybridization Explain.
(ii) The bond enthalpy of $F - F$ is less than that of Cl-Cl, why?
  1. Identify the oxidant and reductant in the following reactions:
  1. $10\text{H}^++4\text{Zn}\text{(S)}+\text{NO}_3^-\text{(aq)}\\ \xrightarrow{ \ \ \ \ \ }4\text{Zn}^{2+}\text{(aq)}+\text{NH}_4^+\text{(aq)}+3\text{H}_2\text{O}$
  2. $\text{I}_2\text{(g)}+\text{H}_2\text{(g)}\xrightarrow{ \ \ \ \ \ }2\text{Hl}\text{(g)}+\text{S}\text{(s)}$
  1. Write the anode, cathode and net cell reaction for the following cell:
$\text{Zn}\text{(s)}|\text{Zn}\text{(aq)}||\text{Br}^-\text{(aq)}|\text{Br}_2\text{(g)},\text{pt}$
  1. Give two main functions of salt bridge.

Compounds with same molecular formula but differing in their structures are said to be structural isomers. What type of structural isomerism is shown by.
Depict the galvanic cell in which the reaction $\mathrm{Zn}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightarrow \mathrm{Zn}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$ takes place, Further show: Which of the electrode is negatively charged.
Give reasons:
Conc. $\mathrm{HNO}^3$ can be transported in aluminium container.
The difference between $C_p$ and $C_V$ can be derived using the empirical relation $H=U+p V$ Calculate the difference between $C_p$ and $C_V$ for 10 moles of an ideal gas.