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Question

Which of the following is true when Bohr gave his model for hydrogen atom?

A
It was not known that hydrogen lines could be explained as differences of terms like R/n2 with R being a constant and n an integer
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B
It was not known that positive charge is concentrated in a nucleus of small size
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C
It was known that radiant energy occurred in energy bundles defined by hv with h being a constant and v a frequency
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D
Bohr knew terms like R/n2 and in the process of choosing allowed the orbits to fit them, he got angular momentum = nh/2π as deduction
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Solution

The correct option is D Bohr knew terms like R/n2 and in the process of choosing allowed the orbits to fit them, he got angular momentum = nh/2π as deduction

Niels Bohr introduced the atomic Hydrogen model in 1913. He described it as a positively charged nucleus, comprised of protons and neutrons, surrounded by a negatively charged electron cloud. In the model, electrons orbit the nucleus in atomic shells. The atom is held together by electrostatic forces between the positive nucleus and negative surroundings.

Bohr’s Postulates

1. An atom has a number of stable orbits in which an electron can reside without the emission of radiant energy. Each orbit corresponds, to a certain energy level.

2. An electron may jump spontaneously from one orbit (energy level E1) to the other orbit (energy level E2) (E2 > E1); then the energy change AE in the electron jump is given by Planck’s equation

∆E = E2-E1 = hv

Where h = Planck’s constant.

And v = frequency of light emitted.

3. The motion of an electron in a circular orbit is restricted in such a manner that its angular momentum is an integral multiple of h/2π, Thus

mvr = nh/2π, where m = mass of the electron

v = velocity of the electron

r = radius of the orbit an

n = an integer called principal quantum number of the electron.:

4. A special surface around nucleus which contained orbits of equal energy and radius was called shell. These shells are numbered from inside to outwards as 1, 2, 3, 4 etc. and called K, L, M, N etc., respectively.



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