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A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹² s⁻¹. The force constant of the bonds connecting one atom with another is (molar mass of silver =108 g mol⁻¹, Avogadro number =6.02×10²³ mol⁻¹)

Asked in JEE Main 2018 · Wire, tunnel and contact-loss systems

Answer: (2) 7.1 N m⁻¹

Step-by-step solution

Mass of one atom: m=(108×10⁻³)/(6.02×10²³)=1.794×10⁻²⁵ kg.

k=mω²=m(2π f)²=1.794×10⁻²⁵×(2π×10¹²)².

(2π×10¹²)²=3.95×10²⁵, so k=7.1 N m⁻¹.

Why the other options are wrong

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