Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Need explanation for: - Dual Nature of Matter and Radiation - JEE Main

 de-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to

(\left | e \right |=1.6\times 10^{-19}C,\: m_{e}=9.1\times 10^{-31}kg,\: h=6.6\times 10^{-34}Js)

Option 1)

0.5\dot{A}

 Option 2)

1.2\dot{A}
Option 3)

1.7\dot{A}

 Option 4)

2.4\dot{A}

Answers (1)

best_answer

As we learnt in

De - Broglie wavelength -

\lambda = \frac{h}{p}= \frac{h}{mv}= \frac{h}{\sqrt{2mE}}

- wherein

h= plank's\: constant

m= mass \: of\: particle

v= speed \: of\: the \: particle

E= Kinetic \: energy \: of \: particle

 

 {\lambda}=\frac{h}{p}=\frac{h}{\sqrt{2m.(K.E.)}}=\frac{h}{\sqrt{2m(eV)}}

    =\frac{6.6\times10^{-34}}{\sqrt{2\times 9.1\times 10^{-31}\times{1.6}{\times10^{-19}{\times}50}}}m=1.7\AA

Correct option is 3.


Option 1)

0.5\dot{A}

This is incorrect option.

Option 2)

1.2\dot{A}

This is incorrect option.

Option 3)

1.7\dot{A}

This is the correct option.

Option 4)

2.4\dot{A}

This is incorrect option.

Posted by

perimeter

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question