Two concentric spherical shells of masses and radii m1, r1 and m2,r2 respectively are as shown. The gravitational field intensity at point P is

Question

Two concentric spherical shells of masses and radii m1, r1 and m2,r2 respectively are as shown. The gravitational field intensity at point P is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-9rlkkxzvciy2.png" /> (A) (G m1/r22 - r12) (B) (G m1/r12) (C) (G m1/r12)+(G m2/r22) (D) (G m1/r2)

Tardigrade Admin · Accepted Answer

Since field due to the outer sphere is zero at point P Hence, intensity will be (G m1/r2)

Q. Two concentric spherical shells of masses and radii $m_{1}, r_{1}$ and $m_{2}, r_{2}$ respectively are as shown. The gravitational field intensity at point $P$ is

$\frac{G m _{1}}{r _{2}^{2} - r _{1}^{2}}$

$\frac{G m _{1}}{r _{1}^{2}}$

$\frac{G m _{1}}{r _{1}^{2}} + \frac{G m _{2}}{r _{2}^{2}}$

$\frac{G m _{1}}{r ^{2}}$

Since field due to the outer sphere is zero at point $P$ Hence,
intensity will be $\frac{G m _{1}}{r ^{2}}$

Q. Two concentric spherical shells of masses and radii m1​,r1​ and m2​,r2​ respectively are as shown. The gravitational field intensity at point P is

r22​−r12​Gm1​​

r12​Gm1​​

r12​Gm1​​+r22​Gm2​​

r2Gm1​​