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noname [10]
3 years ago
15

Two stars, both of which behave like ideal blackbodies, radiate the same total energy per second. The cooler one has a surface t

emperature T and 3.0 times the diameter of the hotter star.
(a) What is the temperature of the hotter star in terms of T?
(b) What is the ratio of the peak-intensity wavelength of the hot star to the peak-intensity wavelength of the cool star?
Physics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

Explanation:

Let hotter star has surface area of A . The cooler star would have surface area 9 times that of hotter star ie 9A , because its radius is 3 times hot star. Let temperature of hot star be T ₁.

Total radiant energy is same for both the star

Using Stefan's formula of black body radiation,

For cold star E = 9A x σ T⁴

For hot star E = A x σ T₁⁴

A x σ T₁⁴ = 9A x σ T⁴

T₁⁴ = (√3)⁴T⁴

T₁ = √3T .

b )

Let the peak intensity wavelength be λ₁ and λ₂ for cold and hot star .

As per wein's law

for cold star , λ₁ T = b ( constant )

for hot star  λ₂ √3T = b

dividing

λ₁ T / λ₂ √3T = 1

λ₂  / λ₁ =  1 / √3

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In mammals, the weight of the heart is approximately 0.5% of the total body weight. Write a linear model that gives the heart we
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Answer:

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Explanation:

Given that in mammals, the weight of the heart is approximately 0.5% of the total body weight.

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H = 0.005B

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At a certain distance from a point charge, the potential and electric-field magnitude due to that charge are 4.98 V and 16.2 V/m
son4ous [18]

Answer:

A. 30.7cm

B. 1.7*10^{-10}C

C. The electric field is directed away from the point of charge

Explanation:

A.

 because, E=\frac{v}{d} \\\\d= \frac{4.98}{16.2}\\\\ d = 0.307m\\\\d = 30.7 cm

B.

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