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Alternating Current

Question
CBSEENPH12047711

When temperature of an ideal gas is increased from 27°C to 227°C, its rms speed is changed from 400 m/s to vs Then, vs is

  • 516 m/s

  • 450 m/s

  • 310 m/s

  • 746 m/s

Solution

A.

516 m/s

We know that the rms speed is directly proportional to square root of temperature.

vrms  THence, vrms(1)vrms(2) =T1T2400vrms(2) =27 + 273227 + 273             =300500vrms(2) = 500300×400= 1.29  ×  400            = 516.39 m/s  516 m/s