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(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. |
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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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