Chapter 16

Find the length (in \(\mathrm{cm}\) ) of a pendulum with a period of \(1.50 \mathrm{~s}\).

Find the period of a wave whose frequency is \(50 \overline{0} \mathrm{~Hz}\).

Find the length (in \(\mathrm{ft}\) ) of a pendulum with a period of \(3.00 \mathrm{~s}\).

Find the frequency of a wave whose period is \(0.550 \mathrm{~s}\).

Find the period of a pendulum \(1.25 \mathrm{~m}\) long.

Find the speed of sound in \(\mathrm{m} / \mathrm{s}\) at \(-23^{\circ} \mathrm{C}\) at \(1 \mathrm{~atm}\) pressure in dry air.

Find the velocity of a wave with wavelength \(2.00 \mathrm{~m}\) and frequency \(40 \overline{0} \mathrm{~Hz} .\)

(a) What is the frequency of a light wave with wavelength \(5.00 \times 10^{-7} \mathrm{~m}\) and velocity \(3.00 \times 10^{8} \mathrm{~m} / \mathrm{s}\) ? (b) Find the period of the wave.

Find the length (in in.) of a pendulum with a period of \(2.25 \mathrm{~s}\).

What is the speed of a wave with frequency \(3.50 \mathrm{~Hz}\) and wavelength \(0.550 \mathrm{~m}\) ?

Find the length (in \(\mathrm{m}\) ) of a pendulum with a period of \(0.700 \mathrm{~s}\).

A sound wave is transmitted through water from one submarine, is reflected off another submarine \(15 \mathrm{~km}\) away, and returns to the sonar receiver on the first submarine. What is the round-trip transit time for the sound wave? Assume that the water temperature is \(25^{\circ} \mathrm{C}\).

Find the wavelength of water waves with frequency \(0.650 \mathrm{~Hz}\) and velocity \(1.50 \mathrm{~m} / \mathrm{s}\).

A sonar receiver detects a reflected sound wave from another ship \(3.52 \mathrm{~s}\) after the wave was transmitted. How far away is the other ship? Assume that the water temperature is \(25^{\circ} \mathrm{C}\).

What is the wavelength of longitudinal waves in a coil spring with frequency \(7.50 \mathrm{~Hz}\) and velocity \(6.10 \mathrm{~m} / \mathrm{s}\) ?

A wave generator produces 20 pulses in \(3.50 \mathrm{~s}\). (a) What is its period? (b) What is its frequency?

If you double the length of a pendulum, what happens to its period?

A train traveling at a speed of \(4 \overline{0} \mathrm{~m} / \mathrm{s}\) approaches an observer at a station and sounds a \(55 \overline{0}\) -Hz whistle. What frequency will be heard by the observer? Assume that the sound velocity in air is \(345 \mathrm{~m} / \mathrm{s}\).

Find the frequency of a wave produced by a generator that emits 30 pulses in \(2.50 \mathrm{~s} .\)

What frequency is heard by an observer who hears the \(45 \overline{0}\) - \(\mathrm{Hz}\) siren on a police car traveling at \(35 \mathrm{~m} / \mathrm{s}\) away from her? Assume that the velocity of sound in air is \(345 \mathrm{~m} / \mathrm{s}\)

What is the wavelength of an electromagnetic wave with frequency \(50.0 \mathrm{MHz}\) ?

A grandfather clock has a \(0.750\) -m pendulum. What is its period?

A car is traveling toward you at \(40.0 \mathrm{mi} / \mathrm{h} .\) The car horn produces a sound at a frequency of \(48 \overline{0} \mathrm{~Hz}\). What frequency do you hear? Assume that the sound velocity in air is \(1090 \mathrm{ft} / \mathrm{s}\).

What is the frequency of an electromagnetic wave with a wavelength of \(0.25 \mathrm{~m}\) ?

A car is traveling away from you at \(40.0 \mathrm{mi} / \mathrm{h}\). The car horn produces a sound at a frequency of \(48 \overline{0} \mathrm{~Hz}\). What frequency do you hear? Assume that the sound velocity in air is \(1090 \mathrm{ft} / \mathrm{s}\).

What is the wavelength in metres of an electromagnetic wave with a frequency of \(10^{14} / \mathrm{s}\) ?

What is the period of a pendulum that is \(0.25 \mathrm{~m}\) long?

A jet airplane taxiing on the runway at \(13.0 \mathrm{~km} / \mathrm{h}\) is moving away from you. The engine produces a frequency of \(66 \overline{0}\) Hz in \(-6.0^{\circ} \mathrm{C}\) air. What frequency do you hear?

Find the frequency of an electromagnetic wave with wavelength \(1.50 \mathrm{~m}\).

Find the wavelength of a wave traveling at \(2.68 \times 10^{6} \mathrm{~m} / \mathrm{s}\) with a period of \(0.0125 \mathrm{~s} .\)

Two construction workers stand \(112 \mathrm{~m}\) apart. One strikes a steel beam with a hammer. How long does it take for the other to hear the sound? Assume the velocity of sound in air is \(345 \mathrm{~m} / \mathrm{s}\).

Find the wavelength of a wave traveling twice the speed of sound (speed of sound \(=331 \mathrm{~m} / \mathrm{s}\) ) that is produced by an oscillator emitting 63 pulses every \(8.3 \times 10^{-6} \mathrm{~min}\).

(a) Find the velocity of \(X\) rays emitted with wavelength \(3.00 \times 10^{-9} \mathrm{~m}\) and frequency \(3.00 \times 10^{18} \mathrm{~Hz} .\) (b) Find the period of the waves.

A crop duster airplane flies overhead at \(44.7 \mathrm{~m} / \mathrm{s}\). The frequency of the sound is 605 Hz. (a) What do you perceive as the frequency as it approaches? Assume the velocity of sound in air is \(345 \mathrm{~m} / \mathrm{s}\). (b) What frequency do you hear as the plane flies away and has accelerated to \(55.0 \mathrm{~m} / \mathrm{s}\) ?

Find the velocity of microwaves having wavelength \(0.750 \mathrm{~m}\) and frequency \(2.75 \times 10^{10} \mathrm{~Hz}\)

Two iron workers are on a project \(72.0 \mathrm{~m}\) apart. To get the other's attention, one worker strikes his lunch pail with his wrench. How long does it take the sound to travel through the air if the speed of sound under these conditions is \(345 \mathrm{~m} / \mathrm{s} ?\)

A construction worker \(30.0 \mathrm{~m}\) above the ground drops his hammer. How long does his shouted warning take to reach the ground if the speed of sound under these conditions is \(345 \mathrm{~m} / \mathrm{s}\) ?