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User Norlesh
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Answer:


part \: \to a \: \\ \boxed{\gamma = 1.17 { * 10}^( - 6) \: m}</p><p> \\ \\ part \to\: b \\ \boxed{the \: ans = 355,102,030.67 \: or \: 3.55 { * 10}^(8) \: times}

Step-by-step explanation:


\boxed{part \: a.} \\ let \: the \: radio \: wave \: length \: be \to \gamma _(r) \: \\ given \to \: v = f \gamma _(r) \: \\ the \: wave \: length \: \boxed{\gamma _(r) } \: is \to \: (v)/(f) \\ \gamma _(r) = (v)/(f) = \frac{350}{3 { * 10}^(8) } = 1.1666667 { * 10}^( - 6) \\ \boxed{\gamma _(r) = 1.17 { * 10}^( - 6) \: m} \\ \\ \boxed{part \: b.}\\ let \: the \: water \: wave \: length \: be \to \gamma _(w) \: \\ to \: answer \: the \: second \: question : \\ first \: we \: find \: the\: frequency \: of \: the \\ \: water \: wave \to \\ \: if \: \to \: v = f\gamma _(w) \\ f = (v)/( \gamma _(w)) \\ but \:\gamma _(w) \: is \: 1\% \: of \: \gamma _(r) \\ \gamma _(w) = (1)/(100) * 1.1666667 { * 10}^( - 6) \\ \gamma _(w) = \underline{ 1.1666667 { * 10}^( - 8)}m \\ hence \to \\ f_(w) = (v)/( \gamma _(r)) = \frac{1450}{1.1666667 { * 10}^( - 8)} \\ = \boxed{part \: a.} \\ let \: the \: radio \: wave \: length \: be \to \gamma _(r) \: \\ given \to \: v = f \gamma _(r) \: \\ the \: wave \: length \: \boxed{\gamma _(r) } \: is \to \: (v)/(f) \\ \gamma _(r) = (v)/(f) = \frac{350}{3 { * 10}^(8) } = 1.1666667 { * 10}^( - 6) \\ \boxed{\gamma _(r) = 1.17 { * 10}^( - 6) \: m} \\ \\ \boxed{part \: b.}\\ let \: the \: water \: wave \: length \: be \to \gamma _(w) \: \\ to \: answer \: the \: second \: question : \\ first \: we \: find \: the\: frequency \: of \: the \\ \: water \: wave \to \\ \: if \: \to \: v = f\gamma _(w) \\ f = (v)/( \gamma _(w)) \\ but \:\gamma _(w) \: is \: 1\% \: of \: \gamma _(r) \\ \gamma _(w) = (1)/(100) * 1.1666667 { * 10}^( - 6) \\ \gamma _(w) = \underline{ 1.1666667 { * 10}^( - 8)}m \\ hence \to \\ f_(w) = (v)/( \gamma _(r)) = \frac{1450}{1.1666667 { * 10}^( - 8)} \\ \boxed{f_(w) = 124,285,710,735} \\now \: thier \: frequency \: ratio \: is \to \\ (f_(w))/(f_(r)) = (124,285,710,735)/(350) = 355,102,030.67 \\ \boxed{the \: ans = 355,102,030.67 \: or \: 3.55 { * 10}^(8) \: times}

User BenjaminFranklin
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