The average depth of Indian ocean is about 3000 m- The value of fractional compression - VV of water at the bottom of the ocean is-Given that the bulk modulus of water is 2-2- 109 Nm-2- g-9-8 ms-2 and -H2O-1000 kg-m-3-

The correct option is B 1.34× 10^ 2 #10; #10; #10; #10; #10; #10; #10; #10; Δ VV=hρ gk=3× 10^3× 9.8 × 10^322× 10^8 #10; #160; ...

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Standard XII

Chemistry

Relation between P, V, T, Gamma in Adiabatic Proceses

The average d...

Question

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 $ρ_{H_{2} O} = 1000 k g . m^{- 3}$ ]

3.4 \times 10^{- 2}

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1.34 \times 10^{- 2}

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4.13 \times 10^{- 2}

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13.4 \times 10^{- 2}

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Solution

The correct option is B $1.34 \times 10^{- 2}$

$\frac{Δ V}{V} = \frac{h ρ g}{k} = \frac{3 \times 10^{3} \times 9.8 \times 10^{3}}{22 \times 10^{8}}$

$= \frac{3}{22} \times 10^{- 3} \times 98 = \frac{147}{11} \times 10^{- 3} = 1.34 \times 10^{- 2} m$

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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 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 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 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

. 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 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:

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The average depth of Indian ocean is about 3000 m. The value of fractional compression ΔVV of water at the bottom of the ocean is:[Given that the bulk modulus of water is 2.2×109 Nm−2, g=9.8 ms−2 and ρH2O=1000 kg.m−3]

The correct option is B 1.34×10−2 ΔVV=hρgk=3×103×9.8×10322×108 =322×10−3×98=14711×10−3=1.34×10−2m

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 correct option is B $1.34 \times 10^{- 2}$

$\frac{Δ V}{V} = \frac{h ρ g}{k} = \frac{3 \times 10^{3} \times 9.8 \times 10^{3}}{22 \times 10^{8}}$

$= \frac{3}{22} \times 10^{- 3} \times 98 = \frac{147}{11} \times 10^{- 3} = 1.34 \times 10^{- 2} m$