Three concentric spherical shells of masses m1 , m2 and m3 having radii a, b and c respectively are shown in the figure. Find the force on a particle of mass m0 present at point P as shown below.

Q: Three concentric spherical shells of masses m1 , m2 and m3 having radii a, b and c respectively are shown in the figure. Find the force on a particle of mass m0 present at point P as shown below.

Numerical

(a) $\frac{G m_0}{x^2}(m_1 + m_2 + m_3)$

(b) $\frac{G m_0}{x^2}(\frac{a m_1}{b} + \frac{b m_2}{c} + \frac{c m_3}{a})$

(c) $\frac{G m_0}{x^2}(m_1 + m_2 )$

(d) $\frac{G m_0}{x^2}(\frac{a m_1 + b m_2}{c} )$

Ans: (c)