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Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX' which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about XX' axis is
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- 3mr²
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16 mr² 5 - 4mr2
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11 mr² 5
Correct Option: C
Moment of inertia of shell 1 along diameter
Idiameter = (2/3) MR²
Moment of inertia of shell 2 = m. i of shell 3
| = Itangential = | MR² + MR² = | MR² | ||
| 3 | 3 |
So, I of the system along x x1
= Idiameter + (Itangential) × 2
or,
| = Itotal = | MR² + |  | MR² |  | × 2 | ||
| 3 | 3 |
| = | MR² = 4MR² | |
| 3 |
