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Question

In which of the following cases the center of mass of a rod is certainly not at its centre?

A
The density continuously increases from left to right.
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B
The density continuously decreases from left to right.
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C
The density decreases from left to right upto the centre and then increases.
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D
The density increases from left to right upto the center and then decreases.
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Solution

The correct options are
A The density continuously decreases from left to right.
C The density continuously increases from left to right.
Center of mass of a rod is not at its center of the rod i.e. mass of the rod varies according to length. Also, density is continuously changes according to length of the rod from left to right or right to left.

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