011 10.0 points
A sound wave has a frequency of 798 Hz in air
and a wavelength of 0.48 m.
What is the temperature of the air? As-
sume the velocity of sound at 0°C is 329 m/s.
Answer in units of °C.
vil

Explanation:

From the Newton's  velocity of sound relationship , the velocity of sound is directly proportional to the square root of temperature .

In this case The velocity of sound = frequency x wavelength

= 798 x 0.48 = 383 m/sec

Suppose the temperature at this time = T K

Thus 383 ∝                       I

The velocity of sound is 329 m/s at 273 K ( given )

Thus 329 ∝                   II

Dividing I by II , we have

=

or = 1.25

and T = 339.8 K  = 66.8° C

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.