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CBSE Class 11-science Answered

Potential energy U= (A√x)/(x³+B) Find the dimensional formula for AB

question image

Asked by simasarkar1968 | 21 May, 2020, 02:03: PM

Expert Answer

Assuming x to be the distance the dimensions of B must be equal to x³

i.e

B equals open square brackets L cubed close square brackets N o w U equals fraction numerator A x to the power of begin display style bevelled 1 half end style end exponent over denominator x cubed plus B end fraction D i m e n s i o n s space o f space U open square brackets M L squared T to the power of negative 2 end exponent close square brackets equals fraction numerator A cross times L to the power of begin display style bevelled 1 half end style end exponent over denominator L cubed end fraction open square brackets M L squared T to the power of negative 2 end exponent close square brackets equals A open square brackets L to the power of fraction numerator negative 5 over denominator 2 end fraction end exponent close square brackets open square brackets A close square brackets equals open square brackets M L to the power of 9 over 2 end exponent T to the power of negative 2 end exponent close square brackets A B equals open square brackets M L to the power of 9 over 2 end exponent T to the power of negative 2 end exponent close square brackets open square brackets L cubed close square brackets A B equals open square brackets M L to the power of 15 over 2 end exponent T to the power of negative 2 end exponent close square brackets

Answered by Utkarsh Lokhande | 21 May, 2020, 02:34: PM

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