How much more light does an 8-meter telescope gather than a 2-meter telescope?

Physics

1 answer:

Colt1911 [192]3 years ago

3 0

Answer:

8 meter telescope 16 times more gather light than 2 meter telescope.

Explanation:

The amount of light gather by the telescope is known as Light Gathering Power (LGP).

Light Gathering Power is determine by the relation:

$LGP = \pi \frac{(length\ of\ telescope)^{2} }{4}$

In this problem, let l₁ and l₂ be the length of two telescopes and (LGP)₁ and (LGP)₂ be the light gathering power of two telescopes respectively. Then the ratio of their LGP is :

$\frac{(LGP)_{1} }{(LGP)_{2}} = \frac{l_{1} ^{2} }{l_{2} ^{2}}$

Substitute 8 m for l₁ and 2 m for l₂ in the above equation.

$\frac{(LGP)_{1} }{(LGP)_{2}} = \frac{8 ^{2} }{2 ^{2}}$

$\frac{(LGP)_{1} }{(LGP)_{2}} = 16$

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$\text{Potential Energy in the spring = }\dfrac{1}{2}kx^{2}\\0.5\text{ }J\text{ }=\text{ }\dfrac{1}{2}k(0.02\text{ }m)^{2}\\k\times0.0004\text{ }m^{2}\text{ }=\text{ }1\text{ }J\text{ }=\text{ }1\text{ }kg\frac{m^{2}}{s^{2}}\\k\text{ }=\text{ }\dfrac{1\text{ }kg\dfrac{m^{2}}{s^{2}}}{0.0004\text{ }m^{2}}\text{ }=\text{ }2500\text{ }\frac{kg}{s^{2}}$

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3 years ago

A pan hangs from a 50 cm spring. When a 10 kg mass is placed in the pan, it stretches the spring 6 cm. What is a function rule l

MrRissso [65]

Answer:

Explanation:

A Spring stretches / compresses when force is applied on them and they are governed by the Hookes Law which states that the force required to stretch or compress a spring is directly proportional to the distance it is stretched.

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