1.

A pendulum oscillate 60 times 3 second. Find its Time period and frequency.

Answer»

\huge\mathbb{SOLUTION:-}

\sf\bullet Number\:of\: oscillation= 60\\ \\ \sf\bullet <klux>TIME</klux>\:taken=3sec

  • So,

\boxed{\sf{\star{Time\:Period=\dfrac{Time\:taken}{Number\:of\: oscillations}}}}

\underline{\sf{\blue{<klux>FREQUENCY</klux>=\dfrac{1}{T}}}}

  • or

\boxed{\sf{\bigstar{Frequency=\dfrac{No.\:of\: oscillation}{Time\:taken}}}}

\sf\implies Time\: Period=\dfrac{\cancel3}{\cancel{15}}\\ \\ \sf\implies Time\: Period=\dfrac{1}{5}\\ \\ \sf\implies Time\: period=0.2second

Now find the Frequency

\sf\implies Frequency=\dfrac{No.\:of\: oscillation}{Time\:taken}\\ \\ \sf\implies frequency=\dfrac{60}{3}\\ \\ \sf\implies frequency=\cancel{\dfrac{60}{3}}\\ \\ \sf\implies frequency=20Hz

\boxed{\sf{\dag{Time\: period=0.2sec}}}

\boxed{\sf{\dag{frequency=20Hz}}}



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