1.

The gravitational field due to a mass distribution is given by `vec(l)=(k)/(x^(2))hat(i)`, where k is a constant. Assuming the potential to be zero at infinity, find the potential at a point x = a.

Answer» We know,
`dV= -vec(l).vec(dr)`
`rArr dV=-(k)/(x^(2))dx`
`rArr int dV =-k int (dx)/(x^(2))`
`rAr V=(k)/(x)+C`
When `x = prop, V = 0 rArr C = 0`
`rArr V=(k)/(x)`
`therefore` At `x = a, V=(k)/(a)`


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