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xz_007 [3.2K]
3 years ago
11

In a double-slit experiment, the slits are illuminated by a monochromatic, coherent light source having a wavelength of 609 nm.

An interference pattern is observed on the screen. The distance between the screen and the double-slit is 1.69 m and the distance between the two slits is 0.118 mm. A light wave propogates from each slit to the screen. What is the path length difference between the distance traveled by the waves for the sixth-order maximum (bright fringe) on the screen?
Physics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

\Delta x = 3.65 \mu m

Explanation:

As we know that the sixth order maximum will have path difference given as

\Delta x = N\lambda

here we know that

N = order of maximum

\lambda = 609 nm

now we have

N = 6

so we know that

\Delta x = 6(609 nm)

\Delta x = 3.65 \mu m

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An object with a kinetic energy of 2160 J has a new mass of 120kg. What is it's velocity?
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The oil level in a tank is 2 m above the ground. The tank cover is air tight and the air pressure above the oil surface is 150 k
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a) 24.692 m/s

b) 19.4 m

Explanation:

To calculate the velocity at the nozzle outflow (V2) we use the Bernoulli equation:

\frac{P1}{pg}+\frac{V1^2}{2g}+Z1=\frac{P2}{pg}+\frac{V2^2}{2g}+Z2

We know that the velocity above the oil surface (V1) and the pressure at the nozzle outflow (P2) are negligible, the height in the exit is zero (Z2) then:

\frac{P1}{pg}+Z1=\frac{P2}{pg}+\frac{V2^2}{2g}

a) The velocity (V2) is:

\frac{P1}{pg}+Z1=\frac{V2^2}{2g}

(\frac{P1}{pg}+Z1)(2g)=V2^2

V2=[(\frac{P1}{pg}+Z1)(2g)]^{1/2}

Substituting the known values we can get the velocity at the out:

Atmospheric pressure= 101000 Pa

Oil density= 0.88x(Water density)=0.88(1000kg/m3)=880kg/m3

V2=[(\frac{150000Pa+101000 Pa}{(880 kg/m3)(9.81m/s)}+2m)(2(9.81m/s2))]^{1/2}

V2=24.692 m/s

b) To calculate the height we have to apply the Bernoulli equation between the outflow and the maximum height (Z3), so:

\frac{P2}{pg}+\frac{V2^2}{2g}+Z2=\frac{P3}{pg}+\frac{V3^2}{2g}+Z3

We know that the velocity above the stream (V3) and the pressure at the nozzle outflow (P2) are negligible, the pressure at the top of the stream (P3) is the atmospheric pressure, then:

\frac{V2^2}{2g}=\frac{P3}{pg}+Z3

Z3=\frac{V2^2}{2g}-\frac{P3}{pg}

Substituting the known values, the height (Z3) is:

Z3=\frac{(24.692 m/s)^2}{2(9.81 m/s2)}-\frac{101000 Pa}{(9.81 m/s)(880 kg/m3)}

Z3=Maximum Height=19.376=19.4 m

3 0
4 years ago
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