The two spheres, one of which is hollow and other solid, have identical masses and moment of inertia about their respective diameters. The ratio of their radii is given by

Question

The two spheres, one of which is hollow and other solid, have identical masses and moment of inertia about their respective diameters. The ratio of their radii is given by (A) 5: 7 (B) 3: 5 (C) √3: √5 (D) 3: 7

Tardigrade Admin · Accepted Answer

(2/3) m r12=(2/5) m r22 (r1/r2)=√(3/5)

Q. The two spheres, one of which is hollow and other solid, have identical masses and moment of inertia about their respective diameters. The ratio of their radii is given by

$5 : 7$

$3 : 5$

$3 : 5$

$3 : 7$

$\frac{2}{3} m r_{1}^{2} = \frac{2}{5} m r_{2}^{2}$
$\frac{r _{1}}{r _{2}} = \frac{3}{5}$

Q. The two spheres, one of which is hollow and other solid, have identical masses and moment of inertia about their respective diameters. The ratio of their radii is given by

5:7

3:5

3​:5​

3:7

32​mr12​=52​mr22​ r2​r1​​=53​​

$5 : 7$

$3 : 5$

$3 : 5$

$3 : 7$

$\frac{2}{3} m r_{1}^{2} = \frac{2}{5} m r_{2}^{2}$
$\frac{r _{1}}{r _{2}} = \frac{3}{5}$