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The rms speed of particle of mass $5 x 10^{- 17}$ kg. in their random motion in air at NTP will be (Boltzmann's constant $K = 1.38 x l 0^{- 23} J / K$ )

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15 × 10 m/s

15 × 10-3 m/s

10 × 10-2 m/s

1.5 × 102 m/s

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detailed solution

Correct option is B

GivenMass of the particle m = 5 × 10-17 kgAbsolute temperature = 273 KThe rms speed of the particle is given by vrms = 3KTm = 3×1.38×10-23 ×2735×10-17 = 226×10-6 = 15 × 10-3 m/s

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The rms speed of particle of mass 5 x 10-17 kg. in their random motion in air at NTP will be (Boltzmann's constant K = 1.38 x l0-23 J/K)

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The rms speed of particle of mass $5 x 10^{- 17}$ kg. in their random motion in air at NTP will be (Boltzmann's constant $K = 1.38 x l 0^{- 23} J / K$ )