1.

(ii)The depth x to which a bullet penetrates in ahuman body depends upon coefficient of elasticityn and kinetic energy.establish the relation by themethod of dimensional analysis.

Answer»

Depth x

x = [ L ] = e ᵃ (ke) ᵇ

where e = elasticity coeff. ke = kinetic energy

e ᵃ = [ M ]ᵃ [ L ] ⁻ᵃ [ T ] ⁻²ᵃ

(ke) ᵇ = [ M ]ᵇ [ L ] ²ᵇ [ T ] ⁻²ᵇ

a + b = 0

-a + 2b = 1

Solving these we get

3b = 1

b = 1/3

So, a = -1/3

Therefore, we have



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