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Mechanical Properties of Solids

Bulk modulus

The compressibility of water is 6 10^{-10} {~N}^{-1} {~m}^{2}

Question

Medium

Solving time: 3 mins

The compressibility of water is $6 \times 1 0^{- 10} N^{- 1} m^{2}$ . If one litre is subjected to a pressure of $4 \times 1 0^{7} Nm^{- 2}$ . The decrease in its volume is

2.4 cc

10 cc

24 cc

15 cc

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Master Resource Book in JEE Main Physics (Arihant)

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Elizabeth Discussed

The compressibility of water is

6 \times 1 0^{- 10} N^{- 1} m^{2}

. If one litre is subjected to a pressure of

4 \times 1 0^{7} Nm^{- 2}

. The decrease in its volume is

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Bulk modulus,

K = - \frac{P}{\frac{Δ V}{V}}

negative sign shown that an increase in pressure a decrease in volume occurs. Compressibility

C = \frac{1}{K} = \frac{- d V}{P V}

Decrease in volume,

Δ V = P V_{C}

= 4 \times 1 0^{7} \times 1 \times 6 \times 1 0^{- 10} = 24 \times 1 0^{- 3} Litre = 24 \times 1 0^{- 3} \times 1 0^{3} cm^{3} = 24 cc

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Question Text	The compressibility of water is $6 \times 1 0^{- 10} N^{- 1} m^{2}$ . If one litre is subjected to a pressure of $4 \times 1 0^{7} Nm^{- 2}$ . The decrease in its volume is
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	73

The compressibility of water is $6 \times 1 0^{- 10} N^{- 1} m^{2}$ . If one litre is subjected to a pressure of $4 \times 1 0^{7} Nm^{- 2}$ . The decrease in its volume is

Text solutionVerified

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The compressibility of water is $6 \times 1 0^{- 10} N^{- 1} m^{2}$ . If one litre is subjected to a pressure of $4 \times 1 0^{7} Nm^{- 2}$ . The decrease in its volume is