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Q.

A spherical ball of volume 1000 cm³ is subjected to a pressure of 10 atmosphere. The change in volume is 10^–2cm³. If the ball is made of iron find its bulk modulus. (Atmospheric pressure =1×10⁵Nm^–2)

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a

1 × 10¹¹ N/m²

b

2 × 10¹¹ N/m²

c

3 × 10¹¹ N/m²

d

4 × 10¹¹ N/m²

answer is A.

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Detailed Solution

Given,

$∆ V = 10^{- 2} {cm}^{3}, V = 1000 {cm}^{3}, P = 10 atm = 10 \times 10^{5} {Nm}^{- 2}$

From the question, we know that,

$B = \frac{P}{\frac{∆ V}{V}} = \frac{10 \times 10^{5} \times 1000}{10^{- 2}} = 1 \times 10^{11} {Nm}^{- 2}$

Hence the correct answer is $1 \times 10^{11} N m^{- 2} .$

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