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A particle of mass m is located in a region where its potential energy [U(x)]depends on the position x as potential energy [U(x)] = a/x2-b/x here a and b are positive constants.....write dimensional formula of a and b.QUALITY REQUIRED |
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Answer» POTENTIAL energy , U=((A)x1/2)/(X+B)U=((A)x1/2)/(x+B) We know DIMENSION for energy [U]=[ML2T−2ML2T−2] For TWO QUANTITIES to be added the have to be the same dimension. Hence B has dimensions of x. => [B]=L Hence [U]=[[ML2T−2]=(([A])L1/2/L)ML2T−2]=(([A])L1/2/L) =[A]L−1/2=[A]L−1/2 => [A]=ML5/2T−2 |
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