| A uniform rod AB is suspended from a point X, at a variable distance \[x\] from \[A\], as shown. To make the rod horizontal, a mass \[m\] is suspended from its end\[A\]. A set of \[(m,x)\] values is recorded. The appropriate variables that give a straight line, when plotted, are: [JEE Online 15-04-2018] |
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A) \[m,\frac{l}{x}\]
B) \[m,\frac{l}{{{x}^{2}}}\]
C) \[m,x\]
D) \[m,{{x}^{2}}\]
Correct Answer: A
Solution :
| [a] Let, 'l' and 'M' be the length and mass of rod. for equilibrium, taking moment about X, we get |
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| this can be written as, |
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| comparing with straight line equation, |
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| we can say that, |
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