Physics
It is easy to burst a gas-filled balloon with a needle than with a nail. It is because

Nail is more longer than needle.
Gas is reactive with the needle.
Nail exerts more pressure than needle on the balloon.
Needle exerts more pressure than nail on the balloon.

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Physics
A hydrogen balloon floats up because of

Weight of the balloon is less than the weight of air displaced by it.
The pressure inside the balloon is more than the pressure outside it
Air pressure decreases with decrease in weight
Air pressure decreases with decrease in height

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