The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is

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Correct answer: C. 300N

Pressure at neck of bottle p_1=(F_1)/(A_1)=(F_1)/(π r_1^2) Similarly, pressure at bottom of bottle p_2=(F_2)/(A_2)=(F_2)/(π r_2^2) According to Pascal's law, liquids transmit pressure equal in all directions. aligned (F_1)/(π r_1^2) & =(F_2)/(π r_2^2) (12)/(π(3)^2) & =(F_2)/(π(15)^2) F_2 & =(12 × 15 × 15)/(3 × 3) F_2 & =300 ~N aligned

The neck and bottom of a bottle are 3 cm and 15 cm in radius...

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