A) \[\frac{\rho B}{B-(n-1){{p}_{0}}}\]
B) \[\frac{\rho B}{B+(n-1){{p}_{0}}}\]
C) \[\frac{\rho B}{B-n{{p}_{0}}}\]
D) \[\frac{\rho B}{B+n{{p}_{0}}}\]
Correct Answer: A
Solution :
When pressure is increased then density will decrease. Thus, the density of ocean water at a depth \[\rho =\frac{\rho }{1-\frac{dp}{B}}\] Here, \[dp=n{{p}_{0}}-{{p}_{0}}\] \[={{p}_{0}}(n-1)\] \[\therefore \] \[\rho =\frac{\rho B}{B-(n-1)\,{{p}_{0}}}\]
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