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Q.

If the De-Broglie wave length of the fourth Bohr’s orbit of hydrogen atom is 4A0, the circumference of the orbit is 

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a

4 nm

b

16 nm 

c

4Ao

d

16Ao

answer is C.

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Detailed Solution

n=4, λ=4 A° mvr=nh2π 2πr=nhmv 2πr=nλ∵λ=hmv 2πr=4×4 2πr=16 A°

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If the De-Broglie wave length of the fourth Bohr’s orbit of hydrogen atom is 4A0, the circumference of the orbit is