Properties of Matter 1 Question 11

11. The pressure of a medium is changed from $1.01 \times 10^{5} Pa$ to $1.165 \times 10^{5} Pa$ and change in volume is $10 %$ keeping temperature constant. The bulk modulus of the medium is

(a) $204.8 \times 10^{5} Pa$

(b) $102.4 \times 10^{5} Pa$

(c) $51.2 \times 10^{5} Pa$

(d) $1.55 \times 10^{5} Pa$

$(2005,2 M)$

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Answer:

Correct Answer: 11. (d)

Solution:

  1. From the definition of bulk modulus, $B=\frac{-d p}{(d V / V)}$

Substituting the values, we have

$$ B=\frac{(1.165-1.01) \times 10^{5}}{(10 / 100)}=1.55 \times 10^{5} Pa $$



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