TS EAMCET · Physics · Thermal Properties of Matter
A mental sphere of radius \(r\) and specific heat \(S\) is rotated about an axis passing through its centre at a speed of \(n\) rotations per second. It is suddenly stopped and \(50 \%\) of its energy is used in increasing its temperature. Then, the raise in temperature of the sphere is
- A \(\frac{2 \pi^2 n^2 r^2}{5 S}\)
- B \(\frac{1 \pi^2 n^2}{10 r^2 S}\)
- C \(\frac{7}{8} \pi r^2 n^2 S\)
- D \(\frac{5(\pi r n)^2}{14 S}\)
Answer & Solution
Correct Answer
(A) \(\frac{2 \pi^2 n^2 r^2}{5 S}\)
Step-by-step Solution
Detailed explanation
Rotational KE of sphere \(=\frac{1}{2} I \omega^2\) For sphere, \(\quad I=\frac{2}{5} m r^2\)…
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