Suppose A = BC, where A has the dimension of L/M​ and C has the dimension of L/T. Then B has the dimension of

  1. \( \mathrm{\frac{T}{M}} \)
  2. \( \mathrm{\frac{L^{2}}{TM}} \)
  3. \( \mathrm{\frac{TM}{L^{2}}} \)
  4. \( \mathrm{\frac{M}{L^{2}T}} \)
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Correct Option: (A)

\[ \mathrm{A = BC} \]

\[ \mathrm{B = \frac{A}{C}} \]

\[ \mathrm{B = \frac{L/M}{L/T}} \]

\[ \mathrm{B = \frac{T}{M}} \]


Suppose A = BC, where A has the dimension of L/M​ and C has the dimension of L/T. Then B has the dimension of

Suppose A = BC, where A has the dimension of L/M​ and C has the dimension of L/T. Then B has the dimension of T/M.

Helping Concept

\[ \mathrm{A = BC} \]

\[ \mathrm{B = \frac{A}{C}} \]

\[ \mathrm{B = \frac{L/M}{L/T}} \]

\[ \mathrm{B = \frac{T}{M}} \]

Therefore the correct option is (A).

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