1.
n₁ = index of refraction of diamond = 2.4
n₂ = index of refraction of water = 1.33
θ₁ = angle of incidence = 24 deg
θ₂ = angle of refraction = ?
using snell's law
n₁ Sinθ₁ = n₂ Sinθ₂
inserting the values
(2.4) Sin24 = (1.33) Sinθ₂
θ₂ = 47.22 deg
2.
c = specific heat = 4.18
m = mass of water = 3.5 kg
ΔT = change in temperature = 55 - 25 = 30 C
Q = heat taken
heat taken is given as
Q = m c ΔT
inserting the values
Q = (3.5) (4.18) (30)
Q = 439 J
3.
n = number of moles = 1
m = molar mass = 0.0399 kg
T = temperature = 27 K
v = average velocity
average velocity is given as
v = sqrt(3RT/m)
v = sqrt(3 x 8.314 x 275/0.0399)
v = 414.6m/s
4.
n = number of moles = 2
T = temperature = 35 C = 35 + 273 K = 308 K
U = internal energy
internal energy is given as
U = 2.5 n RT
U = 2.5 (2) (8.314) (308
U = 1.28 × 10⁴ J
5.
F₁ = 3300 N
F₂ = ?
A₁ = 0.060 m²
A₂ = 0.18 m²
Using pascal's law
F₁/A₁ = F₂/A₂
3300/0.060 = F₂/0.18
F₂ = 9900 N
6.
R = resistance of each resistance in series = 10 ohm
R' = equivalent resistance in series
equivalent resistance is given as
R' = 3 R
R' = 3 x 10
R' = 30 ohm
7.
R = resistance of each resistance in parallel = 10 ohm
R'' = equivalent resistance in parallel
equivalent resistance is given as
R'' = R/3
R'' = 10/3
R'' = 3.3 ohm
8.
for series circuit
R' = equivalent resistance in series = 30 ohm
V = Voltage applied = 60 Volts
i' = current in each resistor in series
current in each resistor in series is given as
I' = V/R'
i' = 60/30
i' = 2 A
for parallel circuit :
i = current in each resistor = V/R = 60/10 = 6 A
