Q. 33.8( 35 Votes )

B. can never be dimensionally represented in terms of L, T and x,

C. may be represented in terms of L, T and x if a = 0,

D. may be represented in terms of L, T x if a ≠ 0.

Answer :

[X] = M^aL^bT^c

[M] = [x.L^-b.T^-c]

now if a =0 then the solution (and the power) will be infinite. thus, then cannot be the exact dimension of the mass.

∴ a ≠ 0 can't be considered

thus, the mass can be represented in term of L, T and X only when a ≠ 0

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B. can never be dimensionally represented in terms of L, T and x,C. may be represented in terms of L, T and x if a = 0,D. may be represented in terms of L, T x if a ≠ 0.