Apipe that is open at both ends and a tuning fork of frequency 240 hz are being used as a fancy new thermometer, albeit one that utilizes sound interference. at room temperature (20.0°c), the pipe's fundamental frequency and the tuning fork's frequency are identical and thus no beat frequency is heard between the two. when the temperature rises to 43.0°c, what beat frequency (in hz) should be heard?

9.51 Hz

Explanation:

f₀ = frequency of tuning fork and fundamental frequency of the pipe initially = 240 Hz

T₀ = Room temperature = 20 °C

v₀ = speed of sound at room temperature

speed of sound at room temperature is given as

v₀ = 331 + (0.6) T₀ = 331 + (0.6) (20) = 343 m/s

L₀ = Length of the pipe

For open pipe, we have  

v₀ = 2 L₀ f₀

343 = 2 (240) L₀

L₀ = 0.715 m

T = new temperature = 43.0°C

v = speed of sound at new temperature

speed of sound at new temperature is given as

v = 331 + (0.6) T = 331 + (0.6) (43) = 356.8 m/s

L = length of pipe = L₀ = 0.715 m

f = new fundamental frequency

For open pipe, we have  

v = 2 L f

356.8 = 2 (0.715) f

f = 249.51 Hz

Δf = Beat frequency

Beat frequency is given as

Δf = f - f₀

Δf = 249.51 - 240

Δf = 9.51 Hz

probably not the "magnets"in the magnet, so to speak, are thought to be electrons orbiting in shells. vurrent loops two sides to the loop

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force