Homogeneity and isotropy, On large enough scales, the Universe looks pretty much the same in all directions. The big bang theory is based on two assumptions: the first is centered around Einstein's general theory of relativity, which accurately describes gravity and the interactions of matter; and the second, also known as the cosmological principle, asserts that the universe is homogeneous and isotropic on a large enough scale.
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Answer:
Explanation:
reactance of inductor = wL = 2 X 3.14 X 60 X 1.2 X 10⁻³ = .45 ohm.
reactance of capacitor = 1/wC = 1/( 2 X 3.14 X 60 X 1.8 X 10⁻⁶ ) = 1474.4
Impedence of the circuit =[ R² + ( I/wC - wL) ]¹/² = [250² + ( 1474.4-.45 )]¹/²
Impedence = 1495 ohm.
RMS Voltage = 120/ 1.414 = 84.86 V
current = 84.86 / 1495 = 0.0576
Potential over resistance = 0.0576 x 250 = 14.2 V.
Answer:
Explanation:
From the given information:
We know that the thin spherical shell is on a uniform surface which implies that both the inside and outside the charge of the sphere are equal, Then
The volume charge distribution relates to the radial direction at r = R
∴



To find the constant k, we examine the total charge Q which is:


∴



Thus;




Hence, from equation (1), if k = 


To verify the units:

↓ ↓ ↓
c/m³ c/m³ × 1/m
Thus, the units are verified.
The integrated charge Q



since 

Answer: 10.67
Explanation:
First, we needed to calculate the radius and this will be:
= Diameter / 2
= 0.900km / 2
= 0.450km
Since s = 3.00miles, we need to convert it to kilometers and this will be:
1mile = 1.6km
3 miles = 3 × 1.6km = 4.8km
Radians = s/r = 4.8/0.45 = 10.67
Explanation:
It is given that,
The angular acceleration of the basketball, 
Time taken, t = 3 seconds
We need to find the ball’s final angular velocity if the ball starts from rest. It can be calculated using definition of angular acceleration i.e.





So, the ball's final angular velocity is 30 rad/s. Hence, this is the required solution.