Answer:
(a) 0.0178 Ω
(b) 3.4 A
(c) 6.4 x 10⁵ A/m²
(d) 9.01 x 10⁻³ V/m
Explanation:
(a)
σ = Electrical conductivity = 7.1 x 10⁷ Ω-m⁻¹
d = diameter of the wire = 2.6 mm = 2.6 x 10⁻³ m
Area of cross-section of the wire is given as
A = (0.25) π d²
A = (0.25) (3.14) (2.6 x 10⁻³)²
A = 5.3 x 10⁻⁶ m²
L = length of the wire = 6.7 m
Resistance of the wire is given as


R = 0.0178 Ω
(b)
V = potential drop across the ends of wire = 0.060 volts
i = current flowing in the wire
Using ohm's law, current flowing is given as


i = 3.4 A
(c)
Current density is given as


J = 6.4 x 10⁵ A/m²
(d)
Magnitude of electric field is given as


E = 9.01 x 10⁻³ V/m
Answer:
The amplitude of the eardrum's oscillation is 6.65×10^-13 m.
Explanation:
Given data:
The sound has a frequency of 262 Hz
The sound level is 84 dB
The air density is 1.21 kg/m^3
The speed of sound is 346 m/s
Solution:
As, Intensity of sound is given by,
I = Io×10^(s/10 db)
I = 2×π^2×ρ×v×f^2×Sm^2
Thus,
Sm = √(Io×10^(s/10 db)) / √( 2×π^2×ρ×v×f^2)
Now, put the values,
Sm = √( 10^-12 × 10^(84/10) ) / √( 2×(3.14)^2×1.21×346×(262)^2 )
Sm = √(2.51×10^-4 / 5.66×10^8)
Sm = √0.443×10^-12
Sm = 6.65×10^-13 m.
Answer:
a. β = 8.23 K
b. β = 28.815 K
Explanation:
Heat pump can be find using the equation
β = TH / TH - TC
a.
TH = 15 ° C + 273.15 K = 288.15 K
TC = - 20 ° C + 273.15 K = 253.15 K
β = 288.15 K / 288.15 k - ( 253.15 K )
β = 8.23 K
b.
TH = 15 ° C + 273.15 K = 288.15 K
TC = 5 ° C + 273.15 K = 278.15 K
β = 288.15 K / 288.15 k - ( 278.15 K )
β = 28.815 K
Answer:
time taken is 20 μs
Explanation:
given data
temperature = 20°C = 293 K
radius = 1 cm
atomic mass of air = 29 u
to find out
how long it will take for air to refill
solution
we find here rms velocity of air particle that is

here m is mass and t is temperature and v is speed and R is ideal gas constant i.e. 8.3145 (kg·m²/s²)/K·mol
v =
............................1
v =
v = 501.99 m/s
so now for cover 1 cm
time taken by air
time take = 
time taken = 
time taken = 19.92 ×
s = 20μs
so time taken is 20 μs