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H varies directly as p and inversely as the square of y. If H =...

Mathematics
WAEC 2019

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

  • A. H = \(\frac{p}{4y^2}\)
  • B. H = \(\frac{2p}{y^2}\)
  • C. H = \(\frac{p}{2y^2}\)
  • D. H = \(\frac{p}{y^2}\)
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Correct Answer: Option C
Explanation

H \(\propto\) \(\frac{p}{y^2}\) 

H = \(\frac{pk}{y^2}\) 

1 = \(\frac{8k}{2^2}\)

k = \(\frac{4}{8}\)

= \(\frac{1}{2}\)

H = \(\frac{p}{2y^2}\)


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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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 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 offline past questions - with all answers and explanations in one app - Download for free
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