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The centre of mass of a non-uniform rod of length L whose mass per unit length λ varies as λ = k.x2L where k is a constant and x is the distance of any point on rod
from its one end, is (from the same end)

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a
34L
b
14L
c
kL
d
3kL

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detailed solution

Correct option is A

∴  xcm = ∫0LKLx2dx.x∫0LKLx2dx = x44|0Lx33|0L = 34L

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