Physics, 21.11.2019 02:31 savthespice

In a certain experiment, a radio transmitter emits sinusoidal electromagnetic waves of fre- quency 110.0 mhz in opposite directions inside a narrow cavity with reflectors at both ends, causing a standing-wave pattern to occur. (a) how far apart are the nodal planes of the magnetic field? (b) if the standing-wave pattern is determined to be in its eighth harmonic, how long is the cavity?

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To solve the problem it is necessary to take into account the concepts related to frequency depending on the wavelength and the speed of light.

By definition we know that the frequency is equivalent to,

$f=\frac{c}{\lambda}$

where,

c= Speed of light

$\lambda = Wavelength$

While the wavelength is equal to,

$\lambda = \frac{2L}{n}$

Where,

L = Length

n = Number of antinodes/nodes

PART A) For the first part we have that our wavelength is 110MHz, therefore

$\lambda = \frac{c}{f}$

$\lambda = \frac{3*10^8}{11*10^6}$

$\lambda = 1.36m$

Therefore the distance between the nodal planes is 1.36m

PART B) For this part we need to find the Length through the number of nodes (8) and the wavelength, that is,

$\lambda'=\frac{2L}{n}$

$L = \frac{\lambda n}{2}$

$L = \frac{8*2.72}{2}$

L = 10.90m

Therefore the length of the cavity is 10.90m

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

I'll do it rn and then answer

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