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Applications of logarithmic functions

Total questions: 13

Worksheet time: 39mins

Name
Class
Date
1.

A sound of 75dB is 50 times louder than a weaker sound. What is the loudness of the weaker sound?

a)

60

b)

58

c)

10

d)

64

2.

Two different sounds has their loudness level as 80 and 100 dB. How much louder is the second sound?

a)

2 times

b)

25 times

c)

50 times

d)

100 times

3.

When Mrs. Windsor is speaking, her voice has a decibel level of 55. When she gets excited it raises to 80 dB. How much more intense is her excited voice compared to her calm voice?

a)

316

b)

205

c)

117

d)

412

4.

Early in the century an earthquake in San Francisco registered 8.3 on the Richter scale. In the same year, another earthquake was recorded in South America that was four times stronger. What was the magnitude of the earthquake in South America?

a)

5.9

b)

8.9

c)

6.9

d)

7.9

5.

How much more intense is a magnitude 8.3 earthquake than a 7.1 earthquake?

a)

15

b)

16

c)

17

d)

18

6.

What is the magnitude of an earthquake that is six times stronger than a 8.0 magnitude earthquake?

a)

8.4

b)

7.6

c)

9.0

d)

8.8

7.

How much more intense is an earthquake measured 6.8 on the Richter scale than that of measured 4.3?

a)

6.8^2.5

b)

4.3^2.5

c)

10^2.5

d)

100

8.

Given the concentration of Hydrogen ions is 0.001, find the pH value of the substance.

a)

3

b)

4

c)

5

d)

6

9.

Find the concentration of Hydrogen ions of a substance with pH 2.

a)

0.1

b)

0.01

c)

0.001

d)

1

10.

if the intensity of an earthquake is 200 times as great as IoI_o  , what is the magnitude of this earthquake?

a)

3.2

b)

4.3

c)

2.3

d)

4.5

11.

A small tremor of magnitude 3.4 is followed by a strong one of 4.1. How much stronger is the second one?

a)

3 times

b)

4 times

c)

5 times

d)

6 times

12.

A strong earthquake of magnitude 5.7 is 3 times more intense than a weaker one. What is the magnitude of the weaker earthquake?

a)

5.02

b)

4.97

c)

3.3

d)

6.12

13.

Calculate the pH of the acid which has hydrogen concentration of 2.5 x 10 ^ -5.

a)

4.6

b)

4.4

c)

4.7

d)

4.9