Answer:
the index of refraction of the coating is 1.33
Explanation:
Given the data in the question;
refraction index of interior portion of the rod η = 1.55
angle of incidence θ = 59.5°
From Snell's law, we know that;
η × sinθ
= η
× sinθ
where η is the index of refraction of the rod ( material 1 )
θ is the angle of incidence
η is the index of refraction in outer coating ( material 2 )
θ is the angle of refraction
so we substitute our values into the equation;
η × sinθ
= η
× sinθ
1.55 × sin( 59.5° ) = η × sin( 90° )
1.55 × 0.861629 = η × 1
1.3355 = η × 1
η = 1.33 { 2 decimal places }
Therefore, the index of refraction of the coating is 1.33
Answer:
Volume of balloon = 1000 cm^3
Explanation:
The head of a normal person can be assumed as a sphere with radius 10 cm.
Volume of sphere , where r is the radius.
We have approximate radius = 10 cm.
Approximate volume of head
In the given options the closest value to the approximate volume is 1000 cm^3.
So, volume of head = Volume of balloon = 1000 cm^3
Answer:
V_{a} - V_{b} = 89.3
Explanation:
The electric potential is defined by
= - ∫ E .ds
In this case the electric field is in the direction and the points (ds) are also in the direction and therefore the angle is zero and the scalar product is reduced to the algebraic product.
V_{b} - V_{a} = - ∫ E ds
We substitute
V_{b} - V_{a} = - ∫ (α + β/ y²) dy
We integrate
V_{b} - V_{a} = - α y + β / y
We evaluate between the lower limit A 2 cm = 0.02 m and the upper limit B 3 cm = 0.03 m
V_{b} - V_{a} = - α (0.03 - 0.02) + β (1 / 0.03 - 1 / 0.02)
V_{b} - V_{a} = - 600 0.01 + 5 (-16.67) = -6 - 83.33
V_{b} - V_{a} = - 89.3 V
As they ask us the reverse case
V_{b} - V_{a} = - V_{b} - V_{a}
V_{a} - V_{b} = 89.3