The mass of an empty density bottle is 50 g. When it is completely filledwith water, its mass is foundto be 100 g and when itiscompletly filledwith aliquid,its mass is 150 g. The density of the liquid is `"_________"` kg `m^(-3)`.

Options

A. (a) 2
B. (b) 2000
C. (c ) 3.5
D. (d) 3500

Answer

B

Explanation

Mass of the empty density bottle, `m_(1)` = 50 " g "
Mass of the bottle with water, `m_(2)` = 100 " g "
Mass of the bottle with liquid, `m_(3)` = 150 " g "
Volume, V=dxxm = 1xx 50 = 50 " " `cm^(3)`
Density of liquid = "mass " of " liquid"/"volume " of " liquid"
`(m_(3)-m_(1))/V=(150-50)/(100-50)`
`100/50=2 " g "cm^(-3)`= 2000 " kg "m^(-3)`