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kap26 [50]
3 years ago
10

The waves from a radio station can reach a home receiver by two paths. One is a straight-line path from transmitter to home, a d

istance of 32.0 km. The second is by reflection from the ionosphere (a layer of ionized air molecules high in the atmosphere). Assume this reflection takes place at a point midway between receiver and transmitter, the wavelength broadcast by the radio station is 344 m, and no phase change occurs on reflection. Find the minimum height of the ionospheric layer that could produce destructive interference between the direct and reflected beams.
Physics
1 answer:
slava [35]3 years ago
8 0

Answer:

Explanation:

The path of waves reaching directly and through reflection from ionosphere will form a isosceles triangle.

Let the height be h . This will be height of a triangle of equal side whose base is of length 32 km. we shall calculate the length of one side of this triangle .

this length be l

l² = 16² + h²

l =  √(256 +h² )

2l = 2√(256 +h² )

path difference = 2l - 32 km

For destructive interference

path difference = wavelength /2 for minimum height .

2l - 32  = .344/2

2√(256 +h² )- 32 = . 172

2√(256 +h² ) = 32.172

4(256 +h² ) = 1035

(256 +h² ) = 258.76

h² = 2.76

h = 1.66 km

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A projectile is launched vertically at 100 m/s. If air resistance can be ignored, at what speed will it return to its initial le
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<h2>Speed with which it return to its initial level is 100 m/s</h2>

Explanation:

We have equation of motion v² = u² + 2as

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An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s.
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Answer:

a) -1.25 rev/s² and 23.3 rev

b)  2.67s

Explanation:

a) ωФ_o_z = (500 rev/min)(1min/ 60s) => 8.333 rev/s

ωФ_Z= (200 rev/min)(1min/ 60s) => 3.333rev/s

time 't'= 4 s

angular acceleration 'αФ_Z'=?

constant angular acceleration equation is given by,

ωФ_Z= ωФ_o_z + αФ_Zt

αФ_Z= (ωФ_Z - ωФ_o_z )/t => (3.333-8.333)/4

αФ_Z= -1.25 rev/s²

θ-θФ_o = ωФ_o_z t + 1/2αФ_Zt²

      =(8.333)(4) + 1/2 (-1.25)(4)²

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b) ωФ_Z=0   (comes to rest)

ωФ_o_z = 3.333 rev/s

αФ_Z= -1.25 rev/s²

ωФ_Z= ωФ_o_z + αФ_Zt

t= (ωФ_Z - ωФ_o_z)/αФ_Z => (0- 3.333)/-1.25

t= 2.67s

3 0
3 years ago
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