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प्रश्न
Let '`sigma`' and 'b' be Stefan's cosntant and Wien's constant respectively, then dimensions of '`sigmab`' are ______.
पर्याय
`("L"^1" M"^1" T"^3" K"^-3)`
`("L"^1" M"^1" T"^3" K"^-3)`
`("L"^1" M"^-1" T"^-3" K"^-3)`
`("L"^1" M"^1" T"^-3" K"^-3)`
MCQ
रिकाम्या जागा भरा
उत्तर
"Let '`sigma`' and 'b' be Stefan's constant and Wien's constant respectively, then dimensions of '`sigmab`' are `underline("L"^1" M"^1" T"^-3" K"^-3)`.
Explanation:
Stefan's law : `"Q"/"t" = sigma "A" "T"^4`
`therefore sigma = "Q"/"tAT"^4`
Wien's law: `lambda "T" = "b"`
`therefore sigma "b" = ("Q"lambda"T")/("tAT"^4 )= ("Q"lambda)/"tAT"^3 = ("ML"^2"T"^-2."L")/("T"."L"^2."K"^3)`
`= "L"^1" M"^1" T"^-3" K"^-3`
shaalaa.com
Stefan-boltzmann Law of Radiation
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