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NEET 2011 (AIPMT, Mains) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from NEET 2011 (AIPMT, Mains)

Q77NEET 2011 · AIPMT · MAINSMedium

Applications of Dimensional Analysis

The density of a material in CGS system of units is 4 g cm ${}^{-3}$ . In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

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Answer: (c)

New unit of density $= \dfrac{100\text{ g}}{(10\text{ cm})^3} = 0.1$ g cm $^{-3}$ .
Value $= \dfrac{4}{0.1} = 40$ .
So the answer is (c) 40.

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