Physics And Measurement Question 221

Question: The density of a material in CGS system of unit is $ 4g/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

Options:

A) 0.4

B) 40

C) 400

D) 0.04

Show Answer

Answer:

Correct Answer: B

Solution:

[b] In CGS system, $ d=4\frac{g}{cm^{3}} $

The unit of mass is 1 00g and unit of length is 10 cm, so $ density=\frac{4( \frac{100g}{100} )}{{{( \frac{10}{10}cm )}^{3}}}=\frac{( \frac{4}{100} )}{{{( \frac{1}{10} )}^{3}}}\frac{(100g)}{{{(10cm)}^{3}}} $

$ =\frac{4}{100}\times {{(10)}^{3}}.\frac{100g}{{{(10cm)}^{3}}}=40unit $



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