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Question

A balloon has volume of 1000 m3 . It is filled with hydrogen (ρ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of

A
600 kg
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B
1200 kg
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C
300 kg
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D
1800 kg
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Solution

The correct option is B 1200 kg
Given,
Vb=1000m3
ρh=0.09g/L
ρa=1.29g/L
g=10m/s2
Upthrust force = total downward force
Vbρah=mg+ρhVbg
1000×1.29×10=mg+0.09×1000×10
1290=mg+90
mg=1200kgweight
The correct option is B.

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