Question

A rubber ball when taken to the bottom of a 100 m deep take decrease in volume by 1 % Hence, the bulk modulus of rubber is............ [g =10 (m/s²)] 

(A) 10⁶ Pa 

(B) 10⁸ Pa 

(C) 10⁷ Pa 

(D) 10⁹ Pa

Answer 1

Correct option: (B) 10⁸ Pa

Explanation:

Bulk modulus = K= {P / (ΔV / V)} = [(hρg) / ({– ΔV} / V)]

Given : [(– ΔV) / V] = 1% = 0.01

ρ of water = 1000 kg/m³ 

g = 10 m/s² & h =100 m

∴ K= {(100 × 100 × 10) / (0.01)} = 10⁸ Pa