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A.
R = \(\frac{T}{(TS^2 + 1)}\)
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B.
R = \(\frac{T}{2(TS^2 - 1)}\)
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C.
R = \(\frac{T}{2(TS^2 + 1)}\)
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D.
R = \(\frac{R}{2(TS^2 + 1)}\)
Correct Answer: Option B
Explanation
S = \(\sqrt{\frac{2R + T}{2RT}}\)
Squaring both sides,
\(S^{2} = \frac{2R + T}{2RT}\)
\(S^{2} (2RT) = 2R + T\)
\(2S^{2} RT - 2R = T\)
\(R = \frac{T}{2TS^{2} - 2}\)
= \(\frac{T}{2(TS^2 - 1)}\)
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