Imagine that you and a friend are trying to tune the lowest strings on two different guitars to the same pitch. Explain how you could use beats to determine if the strings are tuned to the same frequency.

Name the conditions required for two waves to interfere constructively.

Describe what may happen when ripples on a pond encounter a large rock in the water.

A piano tuner listens to a tuning fork vibrating at 440 Hz to tune the string of a piano. He hears beats between the tuning fork and the piano string. Is the string in tune? Explain your answer.

Consider the titration of a 35.0-mL sample of 0.175 M HBr with 0.200 M KOH. Determine each quantity. a. the initial pH, b. the volume of added base required to reach the equivalence point c. the pH at 10.0 mL of added base d. the pH at the equivalence point e. the pH after adding 5.0 mL of base beyond the equivalence point

Determine whether the statement is true and give an explanation or counterexample. The sequence of partial sums associated with the series $\sum_{k=1}^{\infty} \frac{1}{k^2+1}$ converges.

What conditions are required for two waves on a rope to interfere completely destructively?

Draw a picture of a standing wave, and label a node and an antinode.

Explain why you can hear two people talking even after they walk around a corner.

A wave along a guitar string has a frequency of 440 Hz and a wavelength of 1.5 m. What is the speed of the wave?

Draw a standing wave, and label the nodes and antinodes.

Describe what may happen when ripples on a pond encounter a large rock in the water.

Draw a sine curve, and label a crest, a trough, and the amplitude.

Describe how the frequency and period of a wave are related.