A spherical ball contracts in volume by 0.01 % when subjected to a normal uniform pressure of 100 atmosphere. What is the bulk modulus of elasticity of the material of the ball? Take 1 atmosphere =106 dyne cm -2.

Question

A spherical ball contracts in volume by 0.01 % when subjected to a normal uniform pressure of 100 atmosphere. What is the bulk modulus of elasticity of the material of the ball? Take 1 atmosphere =106 dyne cm -2. (A) 109 dyne cm -2 (B) 1010 dyne cm -2 (C) 1012 dyne cm -2 (D) 1014 dyne cm -2

Tardigrade Admin · Accepted Answer

B=(Δ P/-(Δ V / V))=(100 × 106 text dyne cm -2/(0.01 %)) =1012 dyne cm -2

Q. A spherical ball contracts in volume by $0.01%$ when subjected to a normal uniform pressure of 100 atmosphere. What is the bulk modulus of elasticity of the material of the ball? Take 1 atmosphere $= 1 0^{6}$ dyne $c m^{- 2}$ .

$1 0^{9}$ dyne $c m^{- 2}$

$1 0^{10}$ dyne $c m^{- 2}$

$1 0^{12}$ dyne $c m^{- 2}$

$1 0^{14}$ dyne $c m^{- 2}$

$B = \frac{Δ P}{- ( Δ V / V )} = \frac{100 \times 1 0 ^{6} dyne c m ^{- 2}}{( 0.01% )}$
$= 1 0^{12}$ dyne $c m^{- 2}$

Q. A spherical ball contracts in volume by 0.01% when subjected to a normal uniform pressure of 100 atmosphere. What is the bulk modulus of elasticity of the material of the ball? Take 1 atmosphere =106 dyne cm−2.

109 dyne cm−2

1010 dyne cm−2

1012 dyne cm−2

1014 dyne cm−2