Answer:
The Current Iₜ = I₁ + I₂ + I₃
Charge Qₜ = Q₁ + Q₂ + Q₃
Potential difference Vₜ = V₁ = V₂ = V₃
The total capacitance Cₜ = C₁ + C₂ + C₃
Explanation:
According to the attached image;
For parallel arrangements of capacitors, the current flowing through each of the capacitors sums up to the total current flowing through the circuit;
Iₜ = I₁ + I₂ + I₃
Also the charge storage by each capacitor sums up to give the total charge stored;
Qₜ = Q₁ + Q₂ + Q₃
The potential difference across each of the capacitors are the same and equal to the total voltage across the circuit;
Vₜ = V₁ = V₂ = V₃
The total capacitance equals the sum of the capacitances of each of the capacitors;
Cₜ = C₁ + C₂ + C₃
Answer:
option D
Explanation:
given,
length of the pipe, L = 0.96 m
Speed of sound,v = 345 m/s
Resonating frequency when both the end is open

n is the Harmonic number
2nd overtone = 3rd harmonic
so, here n = 3
now,

f = 540 Hz
The common resonant frequency of the string and the pipe is closest to 540 Hz.
the correct answer is option D
Answer
given,
mass of the goalie(m₁) = 70 kg
mass of the puck (m₂)= 0.11 kg
velocity of the puck = 31.5 m/s
elastic collision







Answer:
Less than 1 m
Explanation:
When objects are getting closer to each other there is a slight change in the wavelength that is being transmitted by either objects. This is known as the blue shift of waves. Here, the wavelength reduces.
In the opposite case the when objects are getting farther from each other there is a slight change in the wavelength that is being transmitted by either objects. This is known as the red shift. Here, the wavelength increases.
In this case the spaceship is getting close to Earth hence the wavelength will be lower than 1 m.
Answer
given,
frequency from Police car= 1240 Hz
frequency of sound after return = 1275 Hz
Calculating the speed of the car = ?
Using Doppler's effect formula
Frequency received by the other car
..........(1)
u is the speed of sound = 340 m/s
v is the speed of the car
Frequency of the police car received

now, inserting the value of equation (1)


1.02822(340 - v) = 340 + v
2.02822 v = 340 x 0.028822
2.02822 v = 9.799
v = 4.83 m/s
hence, the speed of the car is equal to v = 4.83 m/s