Given Information:
Diameter of spherical cell = 0.040 mm
thickness = L = 9 nm
Resistivity = ρ = 3.6×10⁷ Ω⋅m
Dielectric constant = k = 9.0
Required Information:
time constant = τ = ?
Answer:
time constant = 2.87×10⁻³ seconds
Explanation:
The time constant is given by
τ = RC
Where R is the resistance and C is the capacitance.
We know that resistivity of of any material is given by
ρ = RA/L
R = ρL/A
Where area of spherical cell is given by
A = 4πr²
A = 4π(d/2)²
A = 4π(0.040×10⁻³/2)²
A = 5.026×10⁻⁹ m²
The resistance becomes
R = (3.6×10⁷*9×10⁻⁹)/5.026×10⁻⁹
R = 6.45×10⁷ Ω
The capacitance of the cell membrane is given by
C = kεoA/L
Where k = 9 is the dielectric constant and εo = 8.854×10⁻¹² F/m
C = (9*8.854×10⁻¹²*5.026×10⁻⁹)/9×10⁻⁹
C = 44.5 pF
C = 44.5×10⁻¹² F
Therefore, the time constant is
τ = RC
τ = 6.45×10⁷*44.5×10⁻¹²
τ = 2.87×10⁻³ seconds
Answer:t=0.3253 s
Explanation:
Given
speed of balloon is 
speed of camera 
Initial separation between camera and balloon is 
Suppose after t sec of throw camera reach balloon then,
distance travel by balloon is


and distance travel by camera to reach balloon is


Now






There are two times when camera reaches the same level as balloon and the smaller time is associated with with the first one .
(b)When passenger catches the camera time is 
velocity is given by



and position of camera is same as of balloon so
Position is 

Answer:
330.24 Hz
Explanation:
Given:
Frequency, f = 320 Hz
L1 = 25.8 cm
L2 = 78.4 cm
L3 = 131.1 cm
Let the wavelength be λ
Then, L1 which is the length of the column of air is λ/4.
λ/4 = 25.8 cm
λ = 25.8 × 4 = 103.2 cm = 1.032 m
Then, speed of sound in air is:
v = λ f
⇒ v = 1.032 × 320 Hz
⇒ v = 330.24 m/s
The wavelength of a microwave of 3 x 10^9 Hz frequency is 0.1 m.
The wavelength of a microwave of 3 x 10^9 Hz frequency is calculated using the equation λ = c/f, where λ is the wavelength, c is the speed of light, and f is the frequency.
The speed of light is approximately 3 x 10^8 m/s. Therefore, the wavelength of a microwave of 3 x 10^9 Hz frequency can be calculated as follows:
λ = 3 x 10^8 m/s/3 x 10^9 Hz
= 0.1 m.
Therefore,the wavelength of a microwave of 3 x 10^9 Hz frequency is 0.1 m.
Microwaves are electromagnetic waves that have a frequency between 300 MHz to 300 GHz and a wavelength from 1 mm to 1 m. Microwaves have a variety of uses, including communications, radar, and cooking. Microwave radiation is absorbed by water, fats, and sugars, which is why it is used for cooking.
The frequency of a microwave is usually expressed in megahertz (MHz) or gigahertz (GHz). One megahertz is equal to one million hertz and one gigahertz is equal to one billion hertz. The frequency of a microwave determines its wavelength; the higher the frequency, the shorter the wavelength.
Learn more about electromagnetic waves at :brainly.com/question/3101711
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Answer:
The average acceleration is 16.6 m/s² ⇒ 1st answer
Explanation:
A rocket achieves a lift-off velocity of 500.0 m/s from rest in
30.0 seconds
The given is:
→ The initial velocity = 0
→ The final velocity = 500 meters per seconds
→ The time is 30 seconds
Acceleration is the rate of change of velocity of the rocket
→ 
where a is the acceleration, v is the final velocity, u is the initial velocity
and t is the time
→ u = 0 , v = 500 m/s , t = 30 s
Substitute these values in the rule
→
m/s²
<em>The average acceleration is 16.6 m/s²</em>