Home
Class 11
CHEMISTRY
Calculate the de Broglie wavelength of a...

Calculate the de Broglie wavelength of an electron accelerating in a particle accelerator through a potential difference of 110 million volt.

Text Solution

Verified by Experts

Kinetic energy of an electron under the potential difference of 110 million volt=110MeV=`110xx10^(6)eV`
`therefore (1)/(2)mv^(2)=110xx10^(6)eV=110xx10^(6)xx1.602xx10^(-19)J`
or, `(1)/(2)xx9.11xx10^(-31)xxv^(2)=110xx10^(6)xx1.602xx10^(-19)`
`therefore v=((2xx110xx10^(6)xx1.602xx10^(-19))/(9.11xx10^(-31)))^(1//2)`
`=6.22xx10^(9)m*s^(-1)`
`therefore lamda=(h)/(mv)=(6.626xx10^(-34))/((9.11xx10^(-31))xx(6.22xx10^(9)))`
`=1.17xx10^(-13)m`
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise WARM UP EXERCISE|157 Videos

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise QUESTION ANSWER ZONE FOR BOARD EXAMINATION (VERY SHORT ANSWER TYPE)|28 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    CHHAYA PUBLICATION|Exercise PRACTICE SET|10 Videos

Similar Questions

Explore conceptually related problems

Calculate the de-Broglie wavelength of an electron that has been accelerated from rest through a potential difference of 1 kV

Calculate the de Broglie wavelength of an electron that has been accelerated from rest through a potential difference of 5000 volt.

Calculate the de Broglie Wavelength of an electron having kinetic energy 3.6 MeV.

Calculate the de Broglie wavelength of an electron of kinetic energy 500 eV.

Calculate de Broglie wavelength of an electron beam accelerated through a potential difference of 60V.

Calculate the wavelength of an electron in a 10 MeV particle accelerator (1 MeV = 10^6eV) .

Determine de Broglie wavelength of an electron accelerated through a potential difference of V volt.

Calculate the de Broglie wavelength of an electron moving with a speed that is 1% of the speed of light.