Answer:
The ray's angle with respect to the face of the crystal is 71.6°
Explanation:
Given that,
Incidence angle = 27°
We need to calculate the angle of refraction
Using Snell's law
Put the value into the formula
We need to calculate the ray's angle with respect to the face of the crystal
Using formula of refraction
Put the value into the formula
Hence, The ray's angle with respect to the face of the crystal is 71.6°
Answer:
166.6 N
Explanation:
Given that,
Force, F₁ = 20 N
Area, A₁ = 10 dm² = 1000 cm²
We need to find the new force if the area of the larger piston is 120 cm². According to Pascal's law,
So, the force on the larger piston is equal to 166.7 N.
D = 497.4x10⁻⁶m. The diameter of a mile of 24-gauge copper wire with resistance of 0.14 kΩ and resistivity of copper 1.7×10−8Ω⋅m is 497.4x10⁻⁶m.
In order to solve this problem we have to use the equation that relates resistance and resistivity:
R = ρL/A
Where ρ is the resistivity of the matter, the length of the wire, and A the area of the cross section of the wire.
If a mile of 24-gauge copper wire has a resistance of 0.14 kΩ and the resistivity of copper is 1.7×10⁻⁸ Ω⋅m. Determine the diameter of the wire.
First, we have to clear A from the equation R = ρL/A:
A = ρL/R
Substituting the values
A = [(1.7×10⁻⁸Ω⋅m)(1.6x10³m)]/(0.14x10³Ω)
A = 1.9x10⁻⁷m²
The area of a circle is given by A = πr² = π(D/2)² = πD²/4, to calculate the diameter D we have to clear D from the equation:
D = √4A/π
Substituting the value of A:
D = √4(1.9x10⁻⁷m²)/π
D = 497.4x10⁻⁶m
Answer:
t = 1.098*RC
Explanation:
In order to calculate the time that the capacitor takes to reach 2/3 of its maximum charge, you use the following formula for the charge of the capacitor:
(1)
Qmax: maximum charge capacity of the capacitor
t: time
R: resistor of the circuit
C: capacitance of the circuit
When the capacitor has 2/3 of its maximum charge, you have that
Q=(2/3)Qmax
You replace the previous expression for Q in the equation (1), and use properties of logarithms to solve for t:
The charge in the capacitor reaches 2/3 of its maximum charge in a time equal to 1.098RC
Answer:
The energy is
(a) is correct option
Explanation:
Given that,
Energy = 4480 j
Weight of nitrogen = 20 g
Boil temperature = 77 K
Pressure = 1 atm
We need to calculate the internal energy
Using first law of thermodynamics
Put the value into the formula
We need to calculate the number of molecules in 20 g N₂
Using formula of number of molecules
Put the value into the formula
We need to calculate the energy
Using formula of energy
Put the value into the formula
Hence, The energy is