THE PRESSURE OF WATER ON THE GROUND FLOOR IS 4 * 10 TO THE POWER OF 4 PASCALS AND IT IS 10 TO THE POWER OF 4 PASCALS ON THE 1ST FLOOR. FIND THE HEIGHT AT WHICH THE 1ST FLOOR IS LOCATED.

Asked by adithya18062000 | 24th Feb, 2015, 06:14: PM

Expert Answer:

Hi Adithya,

begin mathsize 12px style let space straight p subscript 0 space end subscript space be space the space pressure space at space ground space floor space and space straight p subscript 1 space end subscript be space the space pressure space at space first space floor. The space pressure space diffrence space straight p subscript 1 space minus space straight p subscript 0 space equals space gρ space left parenthesis straight h subscript 1 space minus space straight h subscript 0 right parenthesis 10 to the power of 4 space minus space 4 space cross times space 10 to the power of 4 space equals space 10 space cross times space 1000 space cross times space left parenthesis straight h subscript 1 right parenthesis space space space space space space left parenthesis Where comma space straight g space equals space 10 space straight m divided by straight s squared space and space straight rho space equals space 1000 kg divided by straight m cubed right parenthesis straight h subscript 1 space equals space minus space 3 space straight m negative space sign space indicates space that comma space pressure space decreases space with space increase space in space height. hence comma space at space 3 space straight m space heigth space first space floor space is space located. end style

Answered by  | 24th Feb, 2015, 06:51: PM

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