Answer:
![I_2 = 3.16 I_1](https://tex.z-dn.net/?f=I_2%20%3D%203.16%20I_1)
Explanation:
given,
Intensity radiated by black body= I₁
room temperature = 300 K
Intensity radiated, I₂ = ?
At temperature = T₂ = 400 K
now,
Intensity of radiation, I = σ T⁴
now,
![\dfrac{I_1}{I_2}=\dfrac{T_1^4}{T_2^4}](https://tex.z-dn.net/?f=%5Cdfrac%7BI_1%7D%7BI_2%7D%3D%5Cdfrac%7BT_1%5E4%7D%7BT_2%5E4%7D)
![\dfrac{I_2}{I_1}=\dfrac{T_2^4}{T_1^4}](https://tex.z-dn.net/?f=%5Cdfrac%7BI_2%7D%7BI_1%7D%3D%5Cdfrac%7BT_2%5E4%7D%7BT_1%5E4%7D)
![I_2=I_1\dfrac{T_2^4}{T_1^4}](https://tex.z-dn.net/?f=I_2%3DI_1%5Cdfrac%7BT_2%5E4%7D%7BT_1%5E4%7D)
![I_2=I_1\dfrac{400^4}{300^4}](https://tex.z-dn.net/?f=I_2%3DI_1%5Cdfrac%7B400%5E4%7D%7B300%5E4%7D)
![I_2 = 3.16 I_1](https://tex.z-dn.net/?f=I_2%20%3D%203.16%20I_1)
hence, Radiation Intensity at 400 K is equal to I₂ = 3.16 I₁
Answer:
Inductor should be placed the circuit to raise its power factor.
Explanation:
Inductor:
- It is passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it.
- It has the function of developing electromotive force in the direction that reduces fluctuation when a fluctuating current flows.
Capacitor:
- It is a device for storing electrical energy, consisting of two conductors in close proximity and insulated from each other.
we know that,
Power factor:
cosα = R / Z
cosα = R^2/ (sqrt(R
![cos\alpha =\frac{R}\sqrt{R^{2}(X_{c}-X_{L})^{2} }](https://tex.z-dn.net/?f=cos%5Calpha%20%3D%5Cfrac%7BR%7D%5Csqrt%7BR%5E%7B2%7D%28X_%7Bc%7D-X_%7BL%7D%29%5E%7B2%7D%20%20%20%20%7D)
To increase the power factor, denominator should decrease.
from the equation we can say that, the power factor is inversely proportional to X(L)
Hence X(L) should increase.
Therefore, an inductor is required to be connected.
learn more about power factor here:
<u>brainly.com/question/14004507</u>
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The angle is 34.4°.
The radius of a circle and the central angle determine the length of an arc. We are aware that the arc length is equivalent to the circumference for an angle of 360 degrees (2π). As the proportion between angle and arc length is constant, we can say that:
L / θ = C / 2π
As circumference C = 2πr,
L / θ = 2πr / 2π
L / θ = r
We find out the arc length formula when multiplying this equation by θ:
L = r * θ
The arc length is equal to the radius multiplied by the central angle.
Radius of the circle, r = 2.70m
Length of the arc, L = 1.60 m
L = rθ
θ = L / r
= 1.60 / 2.70
= 0.6 rad
θ = (0.6 rad × 180° ) / π rad
= 34.4°
Therefore, the angle is 34.4°.
Learn more about angle here:
brainly.com/question/25770607
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Momentum = (mass) x (speed) = (1 kg) x (0.01 m/s) = 0.01 kg-m/s