Answer:
L = 5.68 10¹⁷ m
Explanation:
The resolution of the telescope is given by diffraction
a sin θ = m λ
Where a is the separation of the linear slits, λ the wavelength, m an integer that determines the order of diffraction
In this case, suppose that the premieres meet Rayleigh's criteria, which establishes that the central maximum of the diffraction of an object coincides with the first minimum of diffraction of the second object. In this case m = 1
sin θ = λ / a
In the case of circular openings, polar coordinates must be used, so the equation is
sin θ = 1.22 λ / D
Where D is the diameter of the lens or tightness. Since the distances are very large and the small angles we can approximate the sine to the radian angle value
θ = 1.22 λ / D
Let's use trigonometry to find the angle. We have the separation of the premieres y = 3.7 10¹¹ m and
tan θ = y / L
θ = y / L
Let's replace
y / L = 1.22 λ / D
L = y D / 1.22 λ
calculate
L = 3.7 10¹¹ 1.03 / (1.22 550 10⁻⁹)
L = 5.68 10¹⁷ m
Answer:
The value is 
Explanation:
From the question we are told that
The mass of matter converted to energy on first test is 
The mass of matter converted to energy on second test 
Generally the amount of energy that was released by the explosion is mathematically represented as

=> ![E = 1.5 *10^{-3} * [ 3.0 *10^{8}]^2](https://tex.z-dn.net/?f=E%20%3D%20%201.5%20%2A10%5E%7B-3%7D%20%20%2A%20%5B%203.0%20%2A10%5E%7B8%7D%5D%5E2)
=> 
The equation for potassium in water is:
K(s) + H20(l) --> H2(g) + K20(aq)
since a element and a compound are reacting, this is a single replacement reaction - which is a)