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xenn [34]
2 years ago
13

Determine the dimensions (a, b) of an air-filled rectangular waveguide that providessingle mode operation over the frequency ran

ge from 9 GHz to 14 GHz.
Physics
1 answer:
Dima020 [189]2 years ago
8 0

Answer: the required dimensions (a, b) are; ( a= 1.667 cm, b = 1.0714 cm )

Explanation:

Given the data in the question;

air-filled rectangular waveguide  

μ₀ = C

m = 1 --- { for single mode operation}

f₀ = c/za        {we have equation}

denote the f₀ = 9 GHz  

f₀  = Carrier frequency

f₁₀ = 14 Ghz        Range or cut off frequency

so we have to find;

a = c/2f₀ and b = c/2f₁₀

so

f₀ = 9 GHz

a = c/2f₀  

a = (3 × 10⁸) / ( 2× 9 × 10⁹)

a = 0.01666 cm

a = 1.667 cm

f₁₀ = 14 GHz

b = c/2f₀  

b = (3 × 10⁸) / ( 2× 14 × 10⁹)

b = 0.01071 m

b = 1.0714 cm

Therefore the required dimensions (a, b) are; ( a= 1.667 cm, b = 1.0714 cm )

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From what height must an oxygen molecule fall in a vacuum so that its kinetic energy at the bottom equals the average energy of
alexandr1967 [171]

Answer:

The  value is  h  = 11930 \ m

Explanation:

From the question we are told that

    The  temperature is  T  =  300 \  K

     

Generally the root mean square speed of the  oxygen molecules is mathematically represented as

        v  =  \sqrt{\frac{3 *  R  *  T }{M} }  =  \sqrt{ 2 *  g  *  h }

Here  R is the gas constant with a value  R  =  8.314 \  J\cdot K^{-1} \cdot \  mol^{-1}

    M  is the molar mass of oxygen molecule with value M  =  0.032 \  kg /mol

So  

     \frac{3 *  8.314   *  300 }{0.032}   =  2 *  9.8  *  h

=>    h  = 11930 \ m

   

4 0
3 years ago
If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it rejec
Oxana [17]

Answer:

3.72 kJ

Explanation:

QH = 6.45 kJ

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Qc = ?

By use of Carnot's theorem

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Qc / 6.45 = 300 / 520

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Give a combination of four quantum numbers that could be assigned to an electron occupying a 5p orbital.
Elden [556K]

Answer:

n=5, l=1, m(l) = -1, m(s)= + 1/2

Explanation:

Quantum number are used to describe the position and spin of an electron inside an atom. There are four types of quantum number for describing an electron inside an atom. They are: the principal quantum number, spin quantum number, magnetic quantum number and angular momentum quantum number.

(1).PRINCIPAL QUANTUM NUMBER: denoted by n, and has possible values of n= 1,2,3,4,.... IN HERE, n= 5

(2).ANGULAR MOMENTUM QUANTUM NUMBER: it is denoted by l, and has possible values of l= 0,1,2,3,...,(n-1).

Our l here is one( that is, s-orbital=0, p-orbital=1, d-orbital= 3 and so on)

(3).MAGNETIC QUANTUM NUMBER: The magnetic quantum number, which is denoted by m subscribt l, specifies the exact orbital in which you can find the electron. It has values ranging from -l,...,-1,0,1,...,l.

Here, our value is -1 that is m(l)= -1

(4).SPIN QUANTUM NUMBER: describes the orientation of electrons. Electrons can only have two values here, either a positive one and the half(+1/2) that is the spin up electron or the negative one and half(-1/2) that is the spin down electron.

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Some call it "air resistance", and others just call it "drag".

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