A body of 500 kg - m 3 floats in a liquid- It has been noticed that liquid also floats in water -water -1000 kg - m 3 - what could be the density of the liquid- A- Pliquid -400 kg - m 3B- Pliquid -800 kg - m 3C- Pliquid -900 kg - m 3D- Pliquid -1100 kg - m 3

The correct options are B ρ_liquid=800 kg/m^3 C ρ_liquid=900 kg/m^3Given: Density of body = 500 kg/m^3 nbsp; Density of water nbsp;= 1000 kg/m^3 We know tha ...

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Standard IX

Physics

Relative Density

A body of 500...

Question

A body of $500 k g / m^{3}$ floats in a liquid. It has been noticed that liquid also floats in water ( $ρ_{w a t e r} = 1000 k g / m^{3}$ ). what could be the density of the liquid?

ρ_{l i q u i d} = 400 k g / m^{3}

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ρ_{l i q u i d} = 800 k g / m^{3}

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ρ_{l i q u i d} = 900 k g / m^{3}

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ρ_{l i q u i d} = 1100 k g / m^{3}

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Solution

The correct options are
B $ρ_{l i q u i d} = 800 k g / m^{3}$
C $ρ_{l i q u i d} = 900 k g / m^{3}$
Given:
Density of body $= 500 k g / m^{3}$
Density of water $= 1000 k g / m^{3}$
We know that, A body or the liquid having lesser density floats in liquid which is having a comparatively higher density.

The body floats in liquid, so $ρ_{l i q u i d}$ can not be lesser than $500 k g / m^{3}$ . Liquid floats in water so $ρ_{l i q u i d}$ cannot be greater than $1000 k g / m^{3}$ .
Hence,
$500 k g / m^{3}$ $<$ $ρ_{l i q u i d}$ $>$ $1000 k g / m^{3}$

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