Answer:
5.5 is the correct answer
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Answer:
her initial frequency is 445 Hz
Explanation:
Given;
initial beat frequency, = 5
observed frequency, F = 440 Hz
let the initial frequency = F₁
F₁ = F ± 5 Hz
F₁ = 440 Hz ± 5 Hz
F₁ = 435 or 445 Hz
This result obtained shows that her initial frequency can either be 435 Hz or 445 Hz
The last beat frequency will be used to determine the actual initial frequency.
F = v/λ
Frequency (F) is inversely proportional to wavelength. That is an increase in length will cause a proportional decrease in frequency.
This shows that the final frequency is smaller than the initial frequency because of the increase in length.
Initial frequency - frequency of tuning fork = 5 beat frequency
Reduced initial frequency - frequency of tuning fork = 3 beat frequency
Initial frequency = 5Hz + 440 Hz = 445 Hz
Final frequency (Reduced initial frequency) = 440 + 3 = 443 Hz
Check: 445 Hz - 440 Hz = 5 Hz
443 Hz - 440 Hz = 3 Hz
Answer:
Explanation:
Given that,
Frequency of the radio signal,
It is detected at a pint 2.1 km from the transmitter tower, x = 2.1 km
The amplitude of the electric field is, E = 800 mV/m
Let I is the intensity of the radio signal at that point. Mathematically, it is given by :
is the rms value of electric field,
So, the intensity of the radio signal at that point is . Hence, this is the required solution.
You should obtain e/m = 2V/(B^2)(r^2)
3. The magnetic field on the axis of a circular current loop a distance z away is given by
B = mu I R^2 / 2(R^2 + z^2)^ (3/2)
where R is the radius of the loops and I is the current. Using this result , calculate the magnetic field at the midpoint along the axis between the centers of the two current loops that make up the Helmholtz coils, in terms of their number of turns N, current I, and raidus R.Helmholtz coils are separated by a distance equal to their raidus R. You should obtain:
|B| = (4/5)^(3/2) *mu *NI/R = 9.0 x 10^-7 NI/R
where B is magnetic field in tesla, I is in current in amps, N is number of turns in each coil, and R is the radius of the coils in meters
Answer:
Explanation:
Magnetic field creates a force perpendicular to a moving charge in its field which is equal to Bev where B is magnetic field , e is amount of charge on the moving charge and v is the velocity of charge particle .
This force provides centripetal force for creation of circular motion. If r be the radius of the circular path
Bev = mv² / r
r = mv / Be
2 ) If an electron is accelerated by an electric field created by potential difference V then electric field
= V / d where d is distance between two points having potential difference v .
force on charged particle
electric field x charge
= V /d x e
work done by field
= force x distance
= V /d x e x d
V e
This is equal to kinetic energy created
V e = 1/2 mv²
= 1/2 m (r²B²e² / m² )
V = r²B²e/ 2 m
e / m = 2 V/ r²B²
3 )
B =
In Helmholtz coils , distance between coil is equal to R so Z = R/2
B =
For N turns of coil and total field due to two coils
B =
=
= 9.0 x 10^-7 NI/R
Answer:
Recoil velocity of cannon = 2.92 m/s
Explanation:
By law of conservation of momentum, we have momentum of cannon = momentum of cannonball.
Mass of cannon = 1200 kg
Mass of cannon ball = 100 kg
Velocity of cannon ball = 35 m/s
We have, Momentum of cannon = momentum of cannon ball
1200 x v = 100 x 35
v =3500/1200 = 2.92 m/s
Recoil velocity of cannon = 2.92 m/s
The recoil speed of the cannon is 2.92 m/s.
To find the recoil speed of the cannon, we can use the conservation of momentum. The initial momentum of the cannon and cannonball system is zero since the cannon is at rest before firing. The final momentum is the sum of the momenta of the cannon and cannonball after firing. Using the equation:
Initial momentum = Final momentum
(mass of cannon) x (recoil speed of cannon) = (mass of cannonball) x (velocity of cannonball)
Plugging in the given values:
(1200 kg) x (recoil speed of cannon) = (100 kg) x (35 m/s)
Solving for the recoil speed of the cannon:
recoil speed of cannon = (100 kg x 35 m/s) / 1200 kg = 2.92 m/s
#SPJ3
Answer:
D=1.54489 m
Explanation:
Given data
S=6.10 mm= 0.0061 m
To find
Depth of lake
Solution
To find the depth of lake first we need to find the initial time ball takes to hit the water.To get the value of time use below equation
So ball takes 0.035sec to hit the water
As we have found time Now we need to find the final velocity of ball when it enters the lake.So final velocity is given as
Since there are (4.50-0.035) seconds left for (ball) it to reach the bottom of the lake
So the depth of lake given as:
Answer: d = 1.54m
The depth of the lake is 1.54m
Explanation:
The final velocity of the ball just before it hit the water can be derived using the equation below;
v^2 = u^2 + 2as ......1
Where ;
v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance travelled.
Since the initial velocity is zero, and the acceleration is due to gravity, the equation becomes:
v^2 = 2gs
v = √2gs ......2
g = 9.8m/s^2
s = 6.10mm = 0.0061m
substituting into equation 2
v = √(2 × 9.8× 0.0061)
v = 0.346m/s
The time taken for the ball to hit water from the time of release can be given as:
d = ut + 0.5gt^2
Since u = 0
d = 0.5gt^2
Making t the subject of formula.
t = √(2d/g)
t = √( 2×0.0061/9.8)
t = 0.035s
The time taken for the ball to reach the bottom of the lake from the when it hits water is:
t2 = 4.5s - 0.035s = 4.465s
And since the ball falls for 4.465s to the bottom of the lake at the same velocity as v = 0.346m/s. The depth of the lake can be calculated as;
depth d = velocity × time = 0.346m/s × 4.465s
d = 1.54m
The depth of the lake is 1.54m
Answer:
The magnitude of the external electric field at P will reduce to 2.26 x 10⁶ N/C, but the direction is still to the right.
Explanation:
From coulomb's law, F = Eq
Thus,
F = E₁q₁
F = E₂q₂
Then
E₂q₂ = E₁q₁
where;
E₂ is the external electric field due to second test charge = ?
E₁ is the external electric field due to first test charge = 4 x 10⁶ N/C
q₁ is the first test charge = 13 mC
q₂ is the second test charge = 23 mC
Substitute in these values in the equation above and calculate E₂.
The magnitude of the external electric field at P will reduce to 2.26 x 10⁶ N/C when 13 mC test charge is replaced with another test charge of 23 mC.
However, the direction of the external field is still to the right.