For an infinitely long solid cylinder of radius R having a uniform density, the gravitational field at a distance r1 is E1 and at a distance r2 is E2 , then

Question

For an infinitely long solid cylinder of radius R having a uniform density, the gravitational field at a distance r1 is E1 and at a distance r2 is E2 , then (A) E1 < E2 for r1 < r2 < R (B) E1>E2 for R < r1 < r2 (C) both 1 and 2 (D) none of the above

Tardigrade Admin · Accepted Answer

Graph of gravitational field versus distance from axis for a solid cylinder is given below <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-c9ys0dm0da4id2sb.jpg" />

Q. For an infinitely long solid cylinder of radius $R$ having a uniform density, the gravitational field at a distance $r_{1}$ is $E_{1}$ and at a distance $r_{2}$ is $E_{2}$ , then

$E_{1} < E_{2}$ for $r_{1} < r_{2} < R$

$E_{1} > E_{2}$ for $R < r_{1} < r_{2}$

both 1 and 2

none of the above

Graph of gravitational field versus distance from axis for a solid cylinder is given below

Q. For an infinitely long solid cylinder of radius R having a uniform density, the gravitational field at a distance r1​ is E1​ and at a distance r2​ is E2​ , then

E1​<E2​ for r1​<r2​<R