Question

if the de broglie wavelength of fourth bohr orbit of hydrogen atom is 4 Å then circumference of the orbit is.....

Answer 1

Answer:

16

Explanation:

De Broglie wavelength of Hydrogen atom = 4A (Given)

A De Broglie wavelength is the wavelength, that is manifested in all the particles in quantum mechanics. According to the duality of the wave-particle, it determines the probability density of finding the object at a given point of the configuration space.  

Using the equation - mvr=nh/2π

= mvr =nh/2π

= 2πr = nh/mv

= 2πr = n× λ { Since λ =h/mv}

Since, n=4 and wavelength = 4A

Thus,  

= 2πr = 4×4

= 16A

Therefore, the circumference of the orbit is 16.