Question

Figure show a hemispherical shell having uniform mass density. The direction of gravitational field intensity at point $P$ will be along

• A. $a$
• B. $b$
• C. $c$
• D. $d$

Answer 1

The correct option is B $b$

Gravitational potential(V) is constant at all points in a spherical shell. The gravitational potential gradient is equal to the negative of gravitational intensity. Therefore intensity is zero at all point in shell. If the upper part is cutout, then the net G-force acting on the particle will be acting downward. Since, by the figure, the particle is shifted to P, the gravitational intensity points along the direction ${}^{\prime }{b}^{\prime }$.