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JEE PHYSICS MCQ: ATOMS

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The earth revolves round the sun due to gravitational attraction. Suppose that the sun and the earth are point particles with their existing masses and that Bohr's quantization rule for angular momentum is valid in the case of gravitation.

(a) Calculate the minimum radius the earth can have for its orbit.

(b) What is the value of the principal quantum number nn for the present radius? Mass of the earth =6.0×1024 kg=6.0 \times 10^{24} \mathrm{~kg}, mass of the sun =2.0×1030 kg=2.0 \times 10^{30} \mathrm{~kg}, earth-sun distance =1.5×1011 m=1.5 \times 10^{11} \mathrm{~m}.
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Correct option: A
(a) 2.3×10−138 m;2.3 \times 10^{-138} \mathrm{~m}; (b) 2.5×10742.5 \times 10^{74}
Option A ((a) 2.3×10−138 m;2.3 \times 10^{-138} \mathrm{~m}; (b) 2.5×10742.5 \times 10^{74}) is correct because it correctly applies Bohr's quantization rule to the Earth-Sun system and calculates the minimum radius and principal quantum number.

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