Question

The depth x to which a bullet penetrates a human body depends upon 1) co-efficient of elasticity ɳ and kinetic energy E. By the method of dimensions show that x = α (E/ɳ)^1/3

Answer 1

Answer:

Let

<br> where, a, b are the dimensions

<br> where K is dimansionless constant fo <br> proportionality. <br> Writing the dimensions in (i), we get <br>

<br>

<br> Applying the principle of homogeneity of dimensions, we get <br>

<br>

<br>

<br> Add (ii) and (iii) :

<br> Form (ii),

. <br> From (i),

<br> Henc,