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Standard IX

Physics

Relative Density

A 1500 m3 bal...

Question

A $1500 m^{3}$ balloon weights $1650 k g$ with all its equipment. It is filled with helium of density $0.2 k g / m^{3}$ . If the density of air is $1.3 k g / m^{3}$ then the pull on the rope tied to the balloon will be

300 k g f

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zero

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1950 k g f

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16.5 k g f

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Solution

The correct option is B zero
1. Find weight of the balloon.

Given, volume of the balloon equipment, $V = 1500 m^{3}$

Mass of the ballon equipment,

$m = 1650 k g$

Density of the helium , $ρ = 0.2 k g / m^{3}$

Weight of balloon $= (m + V ρ) g$

$= (1500 \times 0.2 + 1650) k g f$

$= 1950 k g f$

2. Find upthrust on the balloon.

Given, density of the air,

$σ = 1.3 k g / m^{3}$

Upthrust $= 1500 \times 1.3 = 1950 k g f$

Since upthrust equals weight therefore pull on the rope is zero.

Final answer : (a)

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Relative Density

Standard IX Physics

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A 1500 m3 balloon weights 1650 kg with all its equipment. It is filled with helium of density 0.2 kg/m3. If the density of air is 1.3 kg/m3 then the pull on the rope tied to the balloon will be

A $1500 m^{3}$ balloon weights $1650 k g$ with all its equipment. It is filled with helium of density $0.2 k g / m^{3}$ . If the density of air is $1.3 k g / m^{3}$ then the pull on the rope tied to the balloon will be