Question 140: Properties of Matter

Question

An object is located at 2 km beneath the surface of the water. If the fractional compression $${{\Delta V} \over V}$$ is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be ____________. [Given : density of water is 1000 kgm
$$-$$3
and g = 9.8 ms
$$-$$2
]

Accepted Answer

$$\beta  = {{\Delta p} \over {{{\Delta V} \over V}}}$$
$$ \Rightarrow $$ $$\beta  = {{\Delta ho gh} \over {{{\Delta V} \over V}}} = {{1000 	imes 9.8 	imes 2 	imes {{10}^3}} \over {{{1.36} \over {100}}}}$$
$$ \Rightarrow $$ $$\beta$$ = 1.44 $$	imes$$ 10
9
N/m
2

Answer

1.44 $$	imes$$ 10
7
Nm
$$-$$2

Answer

1.44 $$	imes$$ 10
9
Nm
$$-$$2

Answer

1.96 $$	imes$$ 10
7
Nm
$$-$$2

Answer

2.26 $$	imes$$ 10
9
Nm
$$-$$2

Properties of Matter

An object is located at 2 km beneath the surface of the water. If the fractional compression ${{\Delta V} \over V} is 1.36%, the ratio of hydraulic stress to the corresponding hydraulic strain will be ____________. [Given : density of water is 1000 kgm -3 and g = 9.8 ms -$2 ]

Choose the correct answer: