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The mass of a density bottle when it is ...

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.

A

10

B

100

C

50

D

500

Text Solution

Verified by Experts

The correct Answer is:
B
Mass of the empty bottle `=m_1,`
Mass of the bottle with water, `m_2= 200 g`
Mass of the bottle with liquid, `m_3 =400 g`
Density of the liquid `="3000 kg m"^(-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)=200 g, m_(1)=100g`
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