Radius of the fourth orbit in hydrogen atom 0.85 nm. Calculate the velocity of the electron this orbit (mass of electorn = `9.1 xx 10^(-31) kg)`

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 .

Write down the expression for the radii of orbits of hydrogen atom.Calculate the radius of the smallest orbit.

The radius of the first electron orbit of a hydrogen atom is 0.5overset(@)A . The electron moves in this orbit with a uniform speed of 2.2xx10^(6)m.s^(-1). What is the magnetic field produced at the centre of the nucleus due to the motion of this electron?

Calculate the frequency of rtevolution of electron in the first Bohr orbit of hydrogen atom,if the radius of the first Bohr orbit is 0.5 overset @A and the velocity of electron in the first orbit is 2.24 xx 10^6 m s^(-1) .

Determine the de-Broglie wavelength of a proton, whose kinetic energy is equal to the rest mass energy of an electron. Given that the mass of an electron is 9.1 xx 10^(-31) kg and the mass of a proton is 1,837 times as that of the electron.