You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Bulk Modulus

The average d...

Question

The average depth of Indian Ocean is about $3000 m$ . The fractional compression, $\frac{Δ V}{V}$ of water at the bottom of the ocean (given that the bulk modulus of the water = $2.2 \times 10^{9} {Nm}^{- 2} {and g=10 ms}^{- 2}$ , assuming density of water remains constant) is

0.82 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.91 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.36 %

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1.52 %

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $1.36 %$
$| B | = | \frac{- Δ P}{Δ V / V} |$
$\frac{Δ V}{V} = \frac{Δ P}{B}$
But
$\begin{matrix} Δ P & = ρ g h = 1000 \times 10 \times 3000 = 3 \times 10^{7} \end{matrix}$
So, $\frac{Δ V}{V} = \frac{Δ P}{B} = \frac{3 \times 10^{7}}{2 \cdot 2 \times 10^{9}} = 1.36$ %

Suggest Corrections

145

Similar questions

Q. The average depth of Indian Ocean is about

3000 m

. The fractional compression,

\frac{Δ V}{V}

of water at the bottom of the ocean (given that the bulk modulus of the water =

2.2 \times 10^{9} {Nm}^{- 2} {and g=10 ms}^{- 2}

, assuming density of water remains constant) is

Q. The average depth of Indian Ocean is about

3000 m

. The fractional compression,

\frac{Δ V}{V}

of water at the bottom of the ocean is then
(Given: Bulk modulus of the water

= 2.2 \times 10^{9} N m^{- 2}

and

g = 10 m s^{- 2}

)

Q. The average depth of Indian ocean is about

3000 m

. The value of fractional compression

\frac{Δ V}{V}

of water at the bottom of the ocean is:

[Given that the bulk modulus of water is

2.2 \times 10^{9} N m^{- 2}

g = 9.8 m s^{- 2}

and

ρ_{H_{2} O} = 1000 k g . m^{- 3}

]

The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, $\frac{Δ V}{V}$ of water at the bottom of the ocean, given that the bulk modulus of water is $2.2 \times 10^{9} N m^{- 2}$ (consider $g = 10 m s^{- 2}$ )

Q. The average depth of Indian ocean is about 3000 m Bulk Modulus of water is

2.2 \times 10^{4} N / m^{2}

g = 10 m / s^{2}

,then the fractional compression is

\frac{Δ V}{V}

of water at the bottom of Indian Ocean is:

Join BYJU'S Learning Program

The average depth of Indian Ocean is about 3000 m. The fractional compression, ΔVVof water at the bottom of the ocean (given that the bulk modulus of the water =2.2×109Nm−2 and g=10 ms−2, assuming density of water remains constant) is

The correct option is C 1.36%|B|=|−ΔPΔV/V| ΔVV=ΔPB But ΔP=ρgh=1000×10×3000=3×107 So, ΔVV=ΔPB=3×1072⋅2×109=1.36%

The average depth of Indian Ocean is about $3000 m$ . The fractional compression, $\frac{Δ V}{V}$ of water at the bottom of the ocean (given that the bulk modulus of the water = $2.2 \times 10^{9} {Nm}^{- 2} {and g=10 ms}^{- 2}$ , assuming density of water remains constant) is

The correct option is C $1.36 %$
$| B | = | \frac{- Δ P}{Δ V / V} |$
$\frac{Δ V}{V} = \frac{Δ P}{B}$
But
$\begin{matrix} Δ P & = ρ g h = 1000 \times 10 \times 3000 = 3 \times 10^{7} \end{matrix}$
So, $\frac{Δ V}{V} = \frac{Δ P}{B} = \frac{3 \times 10^{7}}{2 \cdot 2 \times 10^{9}} = 1.36$ %