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When the tension in a sonometer wire is doubled, the ratio of the new frequency...

Physics
JAMB 1989

When the tension in a sonometer wire is doubled, the ratio of the new frequency to the initial frequency is?

  • A. \(\frac{1}{\sqrt2}\)
  • B. \(\frac{1}{2}\)
  • C. \(\sqrt2\)
  • D. 2
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Correct Answer: Option C
Explanation

\(\frac{F_1}{F_2}\) = \(\sqrt{\frac{T_1}{T_2}}\)

\(T_2 = 2T_1\)

\(\frac{F_1}{F_2}\) = \(\sqrt{\frac{T_1}{2T_1}}\)

\(\frac{F_1}{F_2} = \frac{1}{ \sqrt2}\)

F\(_1\) : F\(_2\) = 1 : \(\sqrt{2}\)

F\(_2\) : F\(_1\) = \(\sqrt{2}\) : 1


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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
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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 Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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