Question

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A quantity x is dimensionally represented M^aL^bT^c. The quantity mass: (A) always be represented as L,T andX (B) Can never be represented as L,T and X (C) May be represented as L,T andX if a is equal to 0(D)can be represented as L,T andX if a is not equal to 0.?

Answer 1

Answers : (1)

Given      X  = MaLbTc

 

Percentage error in  X  =  (∆X/X)×100

=   a(∆M/M)×100   + b(∆L/L)×100 +  c(∆T/T)×100

 

But   (∆M/M)×100  =  α;  (∆L/L)×100 =  β; (∆T/T)×100  =  γ

= ( aα + bβ  +  cγ )%