A uniform solid brass sphere is rotating with angular speed `omega_0` about a diameter. If its temperature is now increased by `100^@C`, what will be its new angular speed. (given`alpha_B=2.0xx10^-5per^@C`)

Options

A. `(omega_(0))/(1-0.002)`
B. `(omega_(0))/(1+0.002)`
C. `(omega_(0))/(1+0.004)`
D. `(omega_(0))/(1-0.004)`

Explanation

To find the new angular speed of a uniform solid brass sphere after its temperature is increased by \(100^\circ C\), we can follow these steps:

### Step 1: Understand the Moment of Inertia
The moment of inertia \(I\) of a solid sphere about its diameter is given by the formula:
\[ I = \frac{2}{5} m r^2 \]
where \(m\) is the mass of the sphere and \(r\) is its radius.
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