A spherical ball contracts in volume by 0.02 %, when subjected to… - Vidyadip

MCQ

A spherical ball contracts in volume by $0.02 \%$, when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............. $Nm ^{-2}$

✓
$1.01 \times 10^{11}$
B
$1.01 \times 10^{12}$
C
$1.01 \times 10^{10}$
D
$1.0 \times 10^{13}$

✓

Answer

Correct option: A.

$1.01 \times 10^{11}$

a
(a)

We know $\frac{\Delta V}{V}=-\frac{P}{B}$

Substituting values

$\frac{-\frac{0.01}{100} \times V}{V}=\frac{-100}{B} \times 1.01 \times 10^5$ $\left\{1 \,atm =1.01 \times 10^5 \,Pa\right.$ or $\left.Nm ^{-2}\right\}$

$B=1.01 \times 10^{11} \,Nm ^{-2}$

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