Logarithmic Scales - Magnitude Pair to Measured Value Ratio (Level 2)

Logarithmic Scales - Magnitude Pair to Measured Value Ratio

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 1.6 \\ \text{pH} sub 1 = 9.5$

If 2 solutions have pHs of 9.5 and 1.6 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 7.94 multiplied by 10 to the power of 7$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 7.94 multiplied by 10 to the power of 9$

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 2 \\ \text{pH} sub 1 = 13.9$

If 2 solutions have pHs of 13.9 and 2 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 7.94 multiplied by 10 to the power of 11$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 2.51 multiplied by 10 to the power of 13$

$A LaTex expression showing \text{M} = \log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \text{M} sub 2 = 5.4 \\ \text{M} sub 1 = 1.6$

If 2 earthquakes have magnitudes of 1.6 and 5.4 on the Richter scale what is the ratio of their wave size measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 6,310$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 1,995$

$A LaTex expression showing \text{dB} = 10\log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \beta sub 2 = 116 \text{dB} \\ \beta sub 1 = 112 \text{dB}$

If 2 sounds have dB magnitudes of 112 and 116 on the decibel scale what is the ratio of their sound energy measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 0.794$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 2.51$

$A LaTex expression showing \text{M} = \log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \text{M} sub 2 = 5.1 \\ \text{M} sub 1 = 1.5$

If 2 earthquakes have magnitudes of 1.5 and 5.1 on the Richter scale what is the ratio of their wave size measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 3,981$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 39.8$

$A LaTex expression showing \text{dB} = 10\log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \beta sub 2 = 96 \text{dB} \\ \beta sub 1 = 67 \text{dB}$

If 2 sounds have dB magnitudes of 67 and 96 on the decibel scale what is the ratio of their sound energy measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 794$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 251$

$A LaTex expression showing \text{dB} = 10\log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \beta sub 2 = 101 \text{dB} \\ \beta sub 1 = 36 \text{dB}$

If 2 sounds have dB magnitudes of 36 and 101 on the decibel scale what is the ratio of their sound energy measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 1 multiplied by 10 to the power of 7$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 3,162,278$

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 2 \\ \text{pH} sub 1 = 7$

If 2 solutions have pHs of 7 and 2 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 100,000$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 1,000,000$

Logarithmic Scales - Magnitude Pair to Measured Value Ratio

Logarithmic Scales - Magnitude Pair to Measured Value Ratio Worksheet