Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density `lambda` such that `lambda(x)=(k)/(x)`, where x is the distance from mass m. Given that mass m is placed at a distance d from the of the rod on its axis as shown in figure. If force is `(Gmk)/(nd^(2))` Fill n in OMR sheet.

Answer

2

Explanation

`dF = (Gmdm)/(x^(2))=(Gm)/(x^(2))((K)/(x))dx`
Integrate from d to `oo`
`F = (GmK)/(2d^(2))`