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1 year ago

15

There is a filing cabinent that is 52 in. tall and 15 in. wide. The center of gravity of the cabinet is right at the center. To

what angle can the cabinet be tipped before it falls over?

1 answer:

erastova [34]1 year ago

5 0

Answer:

16 degrees

Explanation:

The tipping point of the cabinet is sketched below.

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Answer:

Part a)

$f_w = f_g = 4.57 \times 10^{14} Hz$

Part b)

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Explanation:

Part a)

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$f = \frac{3 \times 10^8}{656 \times 10^{-9}}$

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Part b)

As we know that the refractive index of water is given as

$\mu_w = 4/3$

so the wavelength in the water medium is given as

$\lambda_w = \frac{\lambda}{\mu_w}$

$\lambda_w = \frac{656 nm}{4/3}$

$\lambda_w = 492 nm$

Similarly the refractive index of glass is given as

$\mu_w = 3/2$

so the wavelength in the glass medium is given as

$\lambda_g = \frac{\lambda}{\mu_g}$

$\lambda_g = \frac{656 nm}{3/2}$

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Part c)

Speed of the wave in water is given as

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$v_w = \frac{3 \times 10^8}{4/3}$

$v_w = 2.25 \times 10^8 m/s$

Speed of the wave in glass is given as

$v_g = \frac{c}{\mu_g}$

$v_g = \frac{3 \times 10^8}{3/2}$

$v_g = 2 \times 10^8 m/s$

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