Question

Energy requirement (E) to produce a change (dX) in dimension X of a particular size can be expressed as \[ \frac{dE}{dX} = - \frac{c}{x^n} \text{ where, } c \text{ is constant and } n \text{ according to Rittinger's law is } \text{__________.} \]

• A. \( \frac{1}{2} \)
• B. \( \sqrt{2} \)
• C. \( \frac{3}{2} \)
• D. 2

Hint:

Rittinger's law generally uses an exponent of 2 for most materials in the field of comminution. This exponent represents the energy required to reduce the size of a material to half of its original size.

Answer 1

The Correct Option is D

Rittinger's law is used to describe the energy required for comminution (breaking) of particles. The equation given in the question is: \[ \frac{dE}{dX} = - \frac{c}{x^n} \] where \( c \) is a constant and \( n \) is the exponent, which varies depending on the material being crushed. According to Rittinger's law, the exponent \( n \) is typically 2 for most materials. Thus, the value of \( n \) according to Rittinger's law is 2.