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  • In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 10^11 m with orbital speed 3 × 10^4 m/s. (Mass of earth = 6.0 × 10^24 kg.)

Q 12.10  In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius   1.5 \times 10^{11}m m with orbital speed 3 \times 10^{4}m/s  (Mass of earth = 6.0 \times 10^{24}kg.)

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As per the Bohr's model, the angular of the Earth will be quantized and will be a multiple of \frac{h}{2 \pi}

\\mvr=\frac{nh}{2 \pi}\\ n=\frac{2 \pi mvr}{h}\\ n=\frac{2\pi\times 6\times 10^{24}\times 3\times 10^{4}\times 1.5\times 10^{11}}{6.62\times 10^{-34}}

n = 2.56\times1074

Therefore the quantum number that characterises the earth’s revolution around the sun in an orbit of radius   1.5 \times 10^{11}m m with an orbital speed 3 \times 10^{4}m/s

is 2.56\times1074

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Sayak

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