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An experimentally decided formula for re...

An experimentally decided formula for relation between pressure and density of x a liquid is
`(P)/(P_("atm"))=(B+1)((d)/(d_("atm")))^(n)-B`
B and n are constant. `P_("atm")` is atmospheric pressure and `d_("atm")` is the density of liquid at that pressure. For water numerical values of B=3000 and n=7.
Take atmospheric pressure=100kPa and density of water `=10^(3) kg//m^(3)` at atmospheric pressure.
Dimensions of

A

B is nonzero but n is zero

B

B is zero but n is nonzero

C

B as well as n is nonzero

D

B as well as n is zero

Text Solution

Verified by Experts

`(P_(0)+hpg)/(P_(0))=(3001)(1.00001)^(7)-3000`
`1+(h)/(10)=(3001)(1.00007)-3000`
`rArrh=2.1007 m`
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An experimentally decided formula for relation between pressure and density of x a liquid is (P)/(P_("atm"))=(B+1)((d)/(d_("atm")))^(n)-B B and n are constant. P_("atm") is atmospheric pressure and d_("atm") is the density of liquid at that pressure. For water numerical values of B=3000 and n=7. Take atmospheric pressure=100kPa and density of water =10^(3) kg//m^(3) at atmospheric pressure. At what depth is the density of water increase by 0.001%.

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