The approximate radius of a H-atom is 0.05 nm, and that of proton is 1.5 × 10−15 m. Assuming both the hydrogen atom and the proton to be spherical, calculate fraction of the space in an atom of hydrogen that is occupied by the nucleus.
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a
2.7 × 10−14
b
2.7 × 10−10
c
5 × 10−14
d
2 × 10−16
answer is A.
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Detailed Solution
Given , radius of H-atom = 0.05nm = 0.05×10-9m = 0.5×10-10 m radius of proton = 1.5×10-15mVnucleusVatom=43 πr1343 πr23=1.5 × 10−150.5 × 10−103=2.7 × 10−14