The mass of a density bottle when it is filled with a liquid of density 3000 kg `m_(-3)` is 400 g and the mass of the bottle when it is filled with water is 200 g. The mass of the empty density bottle is ` "__________"` g.

Options

A. 10
B. 100
C. 50
D. 500

Answer

B

Explanation

Mass of the empty bottle `m_(1)`
Mass of the bottle with water `m_(2)=200g`
Mass of the bottle with liquid `m_(3)=400g`
Density of the liquid `=3000 kg, m^(-3)=3 g cm^(-3)`
Density of liquid `=(m_(3)-m_(1))/(m_(2)-m_(1))`
`3=(400-m_(1))/(200-m_(1))`
`400-m_(1)=600-3m_(1)`
`2m_(1)=200g, m_(1)=100g`