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T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\),...

Mathematics
JAMB 2011

T varies inversely as the cube of R. When R = 3, T = \(\frac{2}{81}\), find T when R = 2
  • A. \(\frac{1}{18}\)
  • B. \(\frac{1}{12}\)
  • C. \(\frac{1}{24}\)
  • D. \(\frac{1}{6}\)
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Correct Answer: Option B
Explanation
T \(\alpha \frac{1}{R^3}\)

T = \(\frac{k}{R^3}\)

k = TR3

= \(\frac{2}{81}\) x 33

= \(\frac{2}{81}\) x 27

dividing 81 by 27

k = \(\frac{2}{2}\)

therefore, T = \(\frac{2}{3}\) x \(\frac{1}{R^3}\)

When R = 2

T = \(\frac{2}{3}\) x \(\frac{1}{2^3}\) = \(\frac{2}{3}\) x \(\frac{1}{8}\)

= \(\frac{1}{12}\)

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709