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)` value is recorded that give a straight line, when plotted, are :

Options

A. `m,x^(2)`
B. `m,(1)/(x^(2))`
C. `m,(1)/(x)`
D. `m,x`

Answer

C

Explanation

Let.s assume length of rod is l and mass M

Mg Om Net torque of forces acting on the rod about point of suspension must be zero.
`mgx=Mg((l)/(2)-x)`
`mx=M(l)/(2)-Mx`
`m=((Ml)/(2))(1)/(x)-M`
Comparing it with equation of straight line we can understand that graph between m and 1/x will be a straight line, hence option (c) is correct.