Answer
77.7k+ views
Hint: We will use the de Broglie formula \[(\lambda = \dfrac{h}{{mv}})\] to find the wavelength of the electron. Where \[\lambda \] , h, m and v are wavelength, planck's constant, mass of electron and velocity of electron respectively.
Complete step-by-step solution
The velocity of electron given \[ = 6.6 \times {10^5}m{s^{ - 1}}\]
The mass of electron (known) \[ = 9.1 \times {10^{ - 31}}Kg\]
Planck's constant value (known) \[ = h = 6.626 \times {10^{ - 34}}\]
Therefore, the value of lambda \[ = \lambda = \dfrac{h}{{mv}} = \dfrac{{6.626 \times {{10}^{ - 34}}}}{{(9.1x{{10}^{^{ - 31}}} \times 6.6 \times {{10}^5})}}\]
The value of wavelength comes out to be11A
Therefore, the answer is option ‘A’.
Note: Take all the values inserted in the equation to be in SI unit one often takes the units given in the equation. Also, one must know the basic values i.e. mass of the electron and the value of Planck's constant.
Complete step-by-step solution
The velocity of electron given \[ = 6.6 \times {10^5}m{s^{ - 1}}\]
The mass of electron (known) \[ = 9.1 \times {10^{ - 31}}Kg\]
Planck's constant value (known) \[ = h = 6.626 \times {10^{ - 34}}\]
Therefore, the value of lambda \[ = \lambda = \dfrac{h}{{mv}} = \dfrac{{6.626 \times {{10}^{ - 34}}}}{{(9.1x{{10}^{^{ - 31}}} \times 6.6 \times {{10}^5})}}\]
The value of wavelength comes out to be11A
Therefore, the answer is option ‘A’.
Note: Take all the values inserted in the equation to be in SI unit one often takes the units given in the equation. Also, one must know the basic values i.e. mass of the electron and the value of Planck's constant.
Recently Updated Pages
Name the scale on which the destructive energy of an class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write an article on the need and importance of sports class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Choose the one which best expresses the meaning of class 9 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)