The Hearing of a Bat 4 of 20 Review | Constants Bats like the one shown in (Figure 1) are mainly active at night. They have several senses that they use to find their way about, locate prey, avoid obstacles, and "see" in the dark. Besides the usual sense of vision, bats are able to emit high-frequency sound waves and hear the echo that bounces back when these sound waves hit an object. This sonar-like system is called echolocation. Typical frequencies emitted by bats are between 20 and 200 kHz. Note that the human ear is sensitive only to frequencies as high as 20 kHz. A moth of length 1.0 cm is flying about 1.0 m from a bat when the bat emits a sound wave at 80.0 kHz. The temperature of air is about 10.0° C. To sense the presence of the moth using echolocation, the bat must emit a sound with a wavelength equal to or less than the length of the insect. The speed of sound that propagates in an ideal gas is given by v = RT M where y is the ratio of heat capacities (y = 1.4 for air), T is the absolute temperature in kelvins (which is equal to the Celsius temperature plus 273.15°C), M is the molar mass of the gas (for air, the average molar mass is M=28.8 × 10 3 kg/mol), and R is the universal gas constant (R = 8.314 J·mol¹· K¹). Figure ་ Part A Find the wavelength A of the 80.0-kHz wave emitted by the bat. Express your answer in millimeters. ▸ View Available Hint(s) ΕΕ ΑΣΦ ? λ= Submit mm 1 of 1 > Part B Will the bat be able to locate the moth despite the darkness of the night? ○ yes O no Submit Request Answer Part C Complete previous part(s) Provide Feedback Next > >

The Hearing of a Bat 4 of 20 Review | Constants Bats like the one shown in (Figure 1) are mainly active at night. They have several senses that they use to find their way about, locate prey, avoid obstacles, and "see" in the dark. Besides the usual sense of vision, bats are able to emit high-frequency sound waves and hear the echo that bounces back when these sound waves hit an object. This sonar-like system is called echolocation. Typical frequencies emitted by bats are between 20 and 200 kHz. Note that the human ear is sensitive only to frequencies as high as 20 kHz. A moth of length 1.0 cm is flying about 1.0 m from a bat when the bat emits a sound wave at 80.0 kHz. The temperature of air is about 10.0° C. To sense the presence of the moth using echolocation, the bat must emit a sound with a wavelength equal to or less than the length of the insect. The speed of sound that propagates in an ideal gas is given by v = RT M where y is the ratio of heat capacities (y = 1.4 for air), T is the absolute temperature in kelvins (which is equal to the Celsius temperature plus 273.15°C), M is the molar mass of the gas (for air, the average molar mass is M=28.8 × 10 3 kg/mol), and R is the universal gas constant (R = 8.314 J·mol¹· K¹). Figure ་ Part A Find the wavelength A of the 80.0-kHz wave emitted by the bat. Express your answer in millimeters. ▸ View Available Hint(s) ΕΕ ΑΣΦ ? λ= Submit mm 1 of 1 > Part B Will the bat be able to locate the moth despite the darkness of the night? ○ yes O no Submit Request Answer Part C Complete previous part(s) Provide Feedback Next > >