A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹²/s. What is the force constant of the bonds connecting one atom with the other ? (Mole wt. of silver = 108 g and Avagadro number = 6.02 × 10²³ mole-1)
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Question

A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹²/s. What is the force constant of the bonds connecting one atom with the other ? (Mole wt. of silver = 108 g and Avagadro number = 6.02 × 10²³ mole-1)

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G1 Physics · Accepted Answer

Mass of one Ag atom is m=(108×10⁻³)/(6.02×10²³)≈1.79×10⁻²⁵ kg. For frequency f=10¹² Hz, ω=2πf. Spring constant k=mω²≈1.79×10⁻²⁵(2π×10¹²)²≈7.1 N m⁻¹. Correct option: 4.

A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹²/s. What is the force constant of the bonds connecting one atom with the other ? (Mole wt. of silver = 108 g and Avagadro number = 6.02 × 10²³ mole−1)