Home
Class 12
PHYSICS
How far apart should the two electrons b...

How far apart should the two electrons be, if the force each exerts on the other is equal to the weight of the electron ?. Given that `in_(0) = 8.854 xx10^(-12) C^2N^(-1)m^(-2) and m_e = 9.1 xx10^(-31) ` kg

Text Solution

Verified by Experts

`q_1 = q_2 = e= 1.6 xx10^(-19) C`
`r = ? , m_e = 9.1 xx10^(-31) kg`
and `F = m_eg`
So `F=(1)/(4piin_0)(q_1q_2)/(r^2)`
`implies m_eg = 1/(4piin_0)(e^2)/r^2`
`r^2 =1/(4piin_0)e^2/(m_eg)`
`= 9 xx10^9 xx((1.6xx10^(-19))^2)/(9.1xx10^(-31)xx9.8)`
`r^2 = 0.26 xx10^2 =26`
`r= sqrt(26) = 5.09m`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CHARGES AND ELECTROSTATIC FORCE

    BETTER CHOICE PUBLICATION|Exercise NUMERICAL PROBLEMS|13 Videos

  • DIPERSION OF LIGHT

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS|5 Videos

  • ELECTRIC CURRENT, RESISTANCE AND E.M.F.

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS |14 Videos

Similar Questions

Explore conceptually related problems

How far apart should the two electrons be , if the force each exerts on the other is equal to the weight of the electron? Given that upsilon _) = 8.854 xx 10^-12 SI unit, e = 1.6 xx 10^19 C and m_e = 9.1 xx 10^-31 kg.

Find out the vlaue of 1 Bohr magneton. Givne h = 6.62 xx 10^-34 J s, e = 1.6 xx 10^-19C and m _e = 9.1 xx 10^-31 kg

Calculate the number of electric lines of force originating from a charge of 1 C. Given epsilon_0 = 8.854 xx 10^-12C^2N^-1m^-2

The electric potential at 0.1m from a point charge is 90V. What is the magnitude of the charge? Given, epsilon_0=8.854xx10^-12 C^2 N^-1 m^-2

The electric potential at 0.3m from a point charge is 30V. What is the magnitude of the charge? Given epsilon_0=8.854xx10^-12 C^2 N^-1 m^-2

Calculate the magnitude of the electrostatic force exerted by the proton on the electron in the hydrogen atom and compare it with the weight of the electron. Given that mass of electron is 9.1 xx 10^-31 kg, charge on electron is 1.6 xx 10^-19 C and radius of hydrogen atom is 0.53 overset(@)A .

Light of frequency 7.21 x 10^(14)Hz (Hertz) is incident on a metal surface. Electrons with a maximum speed if 6.0 xx 10^5ms^(-1) (metre per second) are ejected from the surface. What is the threshold frequency fro photo emission of electrons? Given rarr h(Planck constant) = 6.63 xx 10^(-34) Js (Joule Second) m_e (mass of electron)= 9.1 xx 10^(-31) kg (kilogram)