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When we the surface of an inflated balloon with a needle it exerts a larger pressure because it has a smaller area of contact compared to the finger. The large pressure pieces the surface of the balloon easily.
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pressure=Force/Area which means pressure is inversely related to Area..
A needle has small tip Area whereas a finger has more area.
As told when area is small,pressure is high and vice-versa.
so pressure applied by needle is more than that of finger..with more pressure,the balloon bursts..
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