Ncert Exercises & Solutions

12.16 If Bohr’s quantization postulate (angular momentum = nh/2π) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why then do we never speak of quantization of orbits of planets around the sun?

Hint: Angular momentum in a planetory motion has a large value.
Step: Compare the angular momentum of planets with nh/2π.
We never speak of quantization of orbits of planets around the Sun because the angular momentum associated with planetary motion is largely relative to the value of Planck's constant (h). The angular momentum of the Earth in its orbit is of the order of

10^{70}

h. This leads to a very high value of quantum levels n of the order of

10^{70}

. For large values of n, successive energies and angular momenta are relatively very small. Hence, the quantum levels for planetary motion are considered continuous.

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