a stretched string produces a transverse wave of length 0.2m, its frequency of vibration is 1700hz. find the velocity of wave.
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Answer
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Answer:
AnswEr :
Let the Number be 100.
Increase% = 30%
Decrease% 30%
• New Number will be :
\begin{lgathered}:\implies\sf New \:Number = Old \:Number \times (100 + Increase)\% \times (100 - Decrease)\% \\\\\\:\implies\sf New\:Number = 100 \times (100 + 30)\% \times (100 - 30)\%\\\\\\:\implies\sf New\:Number = 100 \times 130\% \times 70\%\\\\\\:\implies\sf New\:Number = 100 \times\dfrac{130}{100} \times \dfrac{70}{100}\\\\\\:\implies\sf New\:Number = 13 \times 7\\\\\\:\implies\sf New\:Number = 91\end{lgathered}
:⟹NewNumber=OldNumber×(100+Increase)%×(100−Decrease)%
:⟹NewNumber=100×(100+30)%×(100−30)%
:⟹NewNumber=100×130%×70%
:⟹NewNumber=100×
100
130
×
100
70
:⟹NewNumber=13×7
:⟹NewNumber=91
• Percentage Change in the Number :
\begin{lgathered}\longrightarrow\tt Change\% = \dfrac{Change}{Old\:Number}\times100\\\\\\\longrightarrow\tt Change\% = \dfrac{(New-Old) Number}{Old\:Number}\times100\\\\\\\longrightarrow\tt Change\% = \dfrac{(100-91)}{100}\times100\\\\\\\longrightarrow \boxed{ \red{\tt Change\% = 9\% \:Decrease}}\end{lgathered}
⟶Change%=
OldNumber
Change
×100
⟶Change%=
OldNumber
(New−Old)Number
×100
⟶Change%=
100
(100−91)
×100
⟶
Change%=9%Decrease
⠀
∴ There will 9% Decrease in the Number.