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Physics

Heat

Easy

Question

At a pressure of 24 x 10⁵ dyne/cm² , the volume of O₂ is 10litre and mass is 20 gm. The ‘rms’ velocity will be (in m/sec)

800
400
600
200

The correct answer is: 600

$straight v subscript r m s end subscript equals square root of fraction numerator 3 P V over denominator m end fraction end root$

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$There space are space two space spherical space balls space straight A space and space straight B space of space the space same space material space with space same space surface comma space but space the space space diameter space of space straight A space is space half space that space of space straight B. space If space straight A space and space straight B space are space heated space to space the space same space temperature space and space space then space allowed space to space cool comma space then$

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$The space wavelength space of space maximum space intensity space of space radiation space emitted space by space straight a space star space is space 289.8 space nm. space The space space radiation space intensity space for space the space star space is space colon space left parenthesis Stefan ’ straight s space constant space 5.67 cross times 10 to the power of negative 8 end exponent Wm to the power of negative 2 end exponent straight K to the power of negative 4 end exponent space comma space constant space straight b equals space 2898 space straight mu mK right parenthesis$

$The space wavelength space of space maximum space intensity space of space radiation space emitted space by space straight a space star space is space 289.8 space nm. space The space space radiation space intensity space for space the space star space is space colon space left parenthesis Stefan ’ straight s space constant space 5.67 cross times 10 to the power of negative 8 end exponent Wm to the power of negative 2 end exponent straight K to the power of negative 4 end exponent space comma space constant space straight b equals space 2898 space straight mu mK right parenthesis$

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