Physics, asked by Hados736, 9 months ago

If the length of second's pendulum is decreased by 2%, how many seconds it will lose per day

Answers

Answered by Anonymous
5

\huge\underline{\underline{\bf \orange{Question-}}}

If the length of second's pendulum is decreased by 2%, how many seconds it will lose per day

\huge\underline{\underline{\bf \orange{Solution-}}}

\large\underline{\underline{\sf Given:}}

  • Length of second's pendulum is decreased by 2%

\large\underline{\underline{\sf To\:Find:}}

  • How many seconds it will lose per day

\large{\boxed{\bf  \blue{T=2π\dfrac{l}{g}}}}

i.e {\sf \red{T \:\:\: \alpha \:\:\: \sqrt{l}}}

\implies{\sf T \:\:\alpha\:\:l^{1/2} }

\implies{\sf \dfrac{\triangle T}{T}=\dfrac{1}{2}\dfrac{\triangle l}{l} }

\implies{\sf \dfrac{\triangle l}{l}=2\%}

\implies{\sf \pink{\dfrac{\triangle l}{l}=0.02} }

\implies{\sf \dfrac{\triangle T}{T}=\dfrac{1}{2}×0.02 }

\implies{\sf \dfrac{\triangle T}{T}=0.01 }

\implies{\sf \triangle T=0.01T }

Loss of time per day

\implies{\sf \triangle T = 0.01×24×60×60 }

\implies{\bf \red{\triangle T=864\:sec}}

\huge\underline{\underline{\bf \orange{Answer}}}

Loss of time per day will be {\bf \red{864\:sec}}.

Similar questions