If \( F=\frac{A}{\sqrt{m}}+B \) where \( F= \) Force, \( m= \) Mass. Then dimension of \( [A \ti...

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If \( F=\frac{A}{\sqrt{m}}+B \) where \( F= \) Force, \( m= \) Mass.
Then dimension of \( [A \times B] \) is,
(a) \( \mathrm{M}^{5 / 2} \mathrm{~L}^{2} \mathrm{~T}^{-4} \)
(b) \( \mathrm{M}^{2 / 5} \mathrm{~L}^{2} \mathrm{~T}^{-1} \)
(c) \( \mathrm{M}^{2} \mathrm{~L}^{2 / 5} \mathrm{~T}^{-1} \)
(d) \( \mathrm{M}^{-1} \mathrm{~L}^{2 / 5} \mathrm{~T}^{-2} \)
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