A hydrogen atom has mass 1.68×10−27kg. When attached to a certain massive molecule it oscillates with a frequency 1014 Hz and with an amplitude 10−9 cm. Find the force acting on the hydrogen atom.
A
2.21×10−9 N
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B
3.31×10−9 N
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C
4.42×10−9 N
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D
6.63×10−9 N
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Solution
The correct option is D6.63×10−9 N ω2=km⇒(2πf)2=km⇒k=4π2f2m and F=kx0=4π2f2mx0⇒F=4×π2×1028×1.68×10−27×10−11N⇒F=6.63×10−9N