Q.

It d is the depth to which a bullet of kinetic energy K can penetrate into a human body of modulus of elasticity E. Then using the method of dimension establish a relation between d, K and E. If K=cdxEy, where c is a dimensionless constant. Modulus of elasticity = Force  Area ×lΔl  (where l is length and ∆l is change in length). The value of x + y is _________

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answer is 4.

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Detailed Solution

ML2T−2=C[L]xML−1T−2y On solving y=1 and x=3∴x+y=4
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It d is the depth to which a bullet of kinetic energy K can penetrate into a human body of modulus of elasticity E. Then using the method of dimension establish a relation between d, K and E. If K=cdxEy, where c is a dimensionless constant. Modulus of elasticity = Force  Area ×lΔl  (where l is length and ∆l is change in length). The value of x + y is _________