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svetoff [14.1K]
3 years ago
6

At a pressure of one billionth (10–9) of atmospheric pressure, there are about 2.7 × 1010 molecules in one cubic centimeter of a

gas. How many molecules is this per cubic meter
Physics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

Required answer =  2.7 x 10^16 MOLECULES

Explanation:

We know that

1 m = 100 cm

so 1 m^3 = (100 cm)^3 = 1000000 cm^3 = 1 x 10^6 cm3

as per question, 2.7*10^{10} molecules in 1 cm^3

so number of molecules in 1 m^3

Number of molecules = ( 2.7 x 10^10 molecules /1 cm^3 ) x ( 1 x 10^6 cm3 / 1 m3)

Number of molecules = 2.7 x 10^10 x 1 x 10^6 = 2.7 x 10^16 per m3

Required answer =  2.7 x 10^16 MOLECULES

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The length of his shadow is decreasing at a rate of 1.13 m/s

Explanation:

The ray of light hitting the ground forms a right angled triangle of height H, which is the height of the building and width, D which is the distance of the tip of the shadow from the building.

Also, the height of the man, h which is parallel to H forms a right-angled triangle of width, L which is the length of the shadow.

By similar triangles,

H/D = h/L

L = hD/H

Also, when the man is 4 m from the building, the length of his shadow is L = D - 4

So, D - 4 = hD/H

H(D - 4) = hD

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Since h = 2 m and H = 3 m,

dL/dt = h(dD/dt)/H

dL/dt = 2 m(-1.7 m/s)/3 m

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dL/dt = -1.13 m/s

So, the length of his shadow is decreasing at a rate of 1.13 m/s

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