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What is the formula for Kinetic energy of an electron in nth orbit?

The kinetic energy of an object is the energy that it attains due to its motion. It is the work needed to accelerate a body of a given mass from rest to its stated velocity.

The formula for Kinetic energy of an electron in nth orbit is given as,

K.E. = m e4 / 8 ε02 n2 h2

m= mass of an electron

e = Charge on an electron (1.6 x 10–19 C)

ε0 = permittivity of free space

n = positive integer

h = Planck’s constant

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What is the formula for Kinetic energy of an electron?

The kinetic energy of an object is the energy that it attains due to its motion. It is the work needed to accelerate a body of a given mass from rest to its stated velocity.

The formula for Kinetic energy of an electron is given as,

K.E. = e2 / 8π ε0 r

ε0 = permittivity of free space

e = Charge on an electron (1.6 x 10–19 C)

r = radius of the orbit of an electron

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What is the formula for velocity of an electron in the nth orbit?

The electron in an atom is restricted to revolve in certain allowed circular orbit known as stationary orbit. The centripetal force for its motion is provided by electrostatic force of attraction between positively charged nucleus and negatively charged electron.

The formula for velocity of an electron in the nth orbit is given as,

vn = 2π2 Kme2 Z / nh

vn =velocity

K = 1/(4πε0) = constant = 9 x 109 N m2 C–2    

m= mass of an electron (9.1 x 10–31 Kg)

 e = Charge on an electron (1.6 x 10–19 C)

Z= atomic number (No. of Protons)

h= Planck’s constant (6.67 x 10–34 J-s)

n is a positive integer.

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What is the formula for radius r in the nth orbit of an electron?

The electron in an atom is restricted to revolve in certain allowed circular orbit known as stationary orbit. The centripetal force for its motion is provided by electrostatic force of attraction between positively charged nucleus and negatively charged electron.

The formula for radius r in the nth orbit of an electron

 rn = n2h2 / 4π2 Kme2 Z

rn = radius of nth orbit

h= Planck’s constant (6.67 x 10–34 J-s)

n is a positive integer

m= mass of an electron (9.1 x 10–31 Kg)

Z= atomic number (No. of Protons)

K = 1/(4πε0) = constant = 9 x 109 N m2 C–2     

e = Charge on an electron (1.6 x 10–19 C)

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What is the formula for Planck’s relation between energy and frequency of radiation emitted or absorbed?

The energy of a photon emitted or absorbed is given by using Planck’s relation. It states that the energy of a photon, E, is proportional to its frequency, ν.

The formula for Planck’s relation between energy and frequency of radiation emitted or absorbed is given as,

E ∝ v

E = hv

E = Energy

h = Planck’s constant

v = frequency of radiation emitted or absorbed

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