If compressibility of a material is 4 X 10-5 per atm,  pressure is 100 atm and volume is 100 cm3 , then find the value of ΔV. [JIPMER 2018]

Given,   k=4×10−5 per atm           p=100atm and   V=100cm3=100×10−6m3∵ Compressibility =1∣ Bulk modulus of elasticity ∣k=1ΔpVΔV=ΔVΔpV∴ ΔV=k(ΔpV)=4×10−5100×100×10−6=0.4×10−6m3=0.4cm3