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Question

What rms velocity would a dust particle of mass 10−13g have at 270C according to molecular kinetic theory?


A
1.11cms1
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B
3.11cms1
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C
5.0cms1
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D
6.5cms1
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Solution

The correct option is A 1.11cms1
K. E. per molecule =32kT
=32.RN.T
lf the mass of the particle is m, the Kinetic Energy of this molecule =12mc2, where c is the rms speed.
12mc2=32.RN.T
c=3×RN×Tm
=3×8.314×107×3006.02×1023×1013
=1.24=1.11cms1


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