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Question

The rms speed of hydrogen molecules at any temperature is 1996 m/s. The rms speed of colloidal particles with gram molecular weight 32×105g mol1 will be

A
5.40ms1
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B
4.99ms1
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C
2.70ms1
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D
1.57ms1
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Solution

The correct option is D 1.57ms1
RMS velocity is inversely proportional to the square root of molecular weights of the particles.
V1M
Thus we get VparticleVHydrogen=MHydrogenMparticle
Molecular weight of hydrogen MHydrogen=2gmol1
Molecular weight of colloidal particle Mparticle=32×105gmol1
Vparticle1996=232×105
Vparticle=1.57 m/s

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