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Test if following equation is equation is dimensionally correct `v=(1)/(2pi)sqrt((mgl)/(1))` where, v = frequency, I =moment of inertia, m= mass, l= lengh, g= acc. Due to gravity.

Text Solution

Verified by Experts

The correct Answer is:
Equation is dimensionally correct
`[v]=T^(-1)`
`[(1)/(2pi)(sqrt((mgl)/(I))]=[sqrt((mgl)/(I))]=sqrt((mLT^(-2)L)/(ML^(2)))T^(-1)`
So. This equation is dimensionally correct.
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