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3 years ago

What is the relationship between thickness of lens and focal length?

1 answer:

7 0

Thick lens will have shorter and consequently thin lens will have greater focal length. Because, For a thick lens, the optical path length of the light is more, than for a thin lens, thus, the bending of light will be more in case of a thicker lens. Consequently, it has a shorter focal length.

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What mass of a material with density ρ is required to make a hollow spherical shell having inner radius r1 and outer radius r2?

krok68 [10]

Answer: $m=\frac {\rho}{\frac{4}{3} \pi( (r_2)^{3} - (r_1)^{3}) }$

It is given that:

Density of material =ρ

radius of inner spherical shell = $r_1$

radius of outer spherical shell= $r_2$

we know that the volume of sphere is $\frac{4}{3}\pi r^{3}$

Volume of the given spherical shell = $\frac{4}{3}\pi( (r_2)^{3}-(r_1)^{3})$

Then mass of the spherical shell can be calculate as:

Mass, m=density/ volume

$m=\frac {\rho}{\frac{4}{3} \pi ((r_2)^{3} - (r_1)^{3}) }$

6 0

3 years ago

Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? W

Akimi4 [234]

Answer:

Same direction to produce maximum magnitude and opposite direction to produce minimum magnitude

Explanation:

Let a be the angle between vectors A and B. Generally when we add A to B, we can split A into 2 sub vectors, 1 parallel to B and the other perpendicular to B.

Also let A and B be the magnitude of vector A and B, respectively.

We have the parallel component after addition be

Acos(a) + B

And the perpendicular component after addition be

Asin(a)

The magnitude of the resulting vector would be

$\sqrt{(Acos(a) + B)^2 + (Asin(a))^2}$

$= \sqrt{A^2cos^2a + B^2 + 2ABcos(a) + A^2sin^2a}$

$= \sqrt{A^2(cos^2a + sin^2a) + B^2 + 2ABcos(a)}$

$= \sqrt{A^2 + B^2 + 2ABcos(a)}$

As A and B are fixed, the equation above is maximum when cos(a) = 1, meaning a = 0 degree and vector A and B are in the same direction, and minimum with cos(a) = -1, meaning a = 180 degree and vector A and B are in opposite direction.

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4 years ago

HURRYYYWhich tools do meteorologists use to collect data about the weather?

lys-0071 [83]

Answer:

satellites and weather fronts

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3 years ago

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