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3 years ago

Microwaves travel at the speed of light, 300,000 km/s. What is the wavelength of a microwave received at 1000 gigahertz?

Physics

1 answer:

n200080 [17]3 years ago

7 0

Answer:

3 x 10⁻⁴m

Explanation:

Given parameters:

Speed of light = 300000km/s

Frequency = 1000gigahz = 1000 x 10⁹Hz

Unknown:

Wavelength = ?

Solution:

To solve this problem, we use the expression below:

V = F ∧

V is the speed

F is the frequency

∧ is the wavelength

300000 = 1000 x 10⁹ x ∧

Wavelength = 3 x 10⁻⁷km = 3 x 10⁻⁴m

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The water in a tank is pressurized by air, and the pressure is measured by a multi-fluid manometer as shown. determine the gage

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Answer : 56.9 kPa

Solution : Given :-

ρ ( $H_{2} O$ ) = 1000 $kg/m^{3}$ ; ρ (oil) = 850 $kg/m^{3}$ ; ρ (Hg) = 13,600 $kg/m^{3}$

$h_{1}$ = 0.2 m; $h_{2}$ = 0.3 m; $h_{3}$ = 0.46 m

Formula : $P_{1}$ + ρ ( $H_{2} O$ ) $g h_{1}$ + ρ (oil) $g h_{2}$ - ρ (Hg) $g h_{3}$ = $P_{atm}$

On rearranging we get,

$P_{1}$ = $P_{atm}$ - ρ ( $H_{2} O$ ) $g h_{1}$ - ρ (oil) $g h_{2}$ + ρ (Hg) $g h_{3}$

Now,

$P_{1}$ - $P_{atm}$ = g (ρ (Hg) $h_{3}$ - ρ ( $H_{2} O$ ) $h_{1}$ - ρ (oil) $h_{2}$ )

We know that, $P_{1}$ - $P_{atm}$ = $P_{1}_gage$

On substitution we get,

= $(9.81 m/s^2) X [13,600 kg/m^3) X (0.46m) - (1000kg/m^3) X (0.2 m)- (850kg/m^3) X (0.3m) X$ X $\frac{1N} {1kg . m/s^{2}} X \frac {1kPa} {1000. N/m^{2}}$

= 56.9 kPa.

Therefore, $P_{1}_gage$ = 56.9 kPa.

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