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# The density of earth increased 4 times and its radius becomes half of what it is , our weight will

a) be four times its present value b) Be doubled c) Remain same d) Be halved

Since g is proportional to $\rho R$
$\rho$-density
$R$- radius
$W=mg \qquad W'=mg'$
$\large\frac{g}{g'}=\frac{\rho R}{4 \rho R/2}$
$\quad=\large\frac{1}{2}$
$W'=2W$
Hence b is the correct answer.

edited Feb 17, 2014 by meena.p