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Ayesha is watering the plants in her gar...

Ayesha is watering the plants in her garden with a pipe of area of cross-section 'A' and observed that the force of water from the pipe is 'F'. Find the change in area of cross section of the pipe to attain a pressure difference which is 1.5 times that of the initial.

Text Solution

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The correct Answer is:
`(3)/(5)A_(1)`

`P_(1)=(F_(1))/(A_(1)),P_(2)=P_(1)+1.5P_(1)=2.5P_(1)`
`P_(2)=2.5P_(1)=(2.5F_(1))/(A_(1))rArrP_(2)=(F_(1))/((A_(1)/(2.5)))`
`rArrA_(1)-A_(2)=(3A_(1))/(5)`
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