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gregori [183]
3 years ago
14

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. T

he outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 21.5 cm, 539 turns, and 5.33 A. For the inner solenoid the corresponding quantities are 18.1 cm, 395 turns, and 1.95 A. At what speed, v1, should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 5.95 mm?
Physics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

6700 m/s

Explanation:

The magnetic field due to a solenoid is given by B = μ₀in where i = current, n = number of turns per unit length = N/l and μ₀ = 4π × 10⁻⁷ H/m

Let B₁ be the magnetic field for the outer solenoid. For this solenoid, i = 5.33 A, n = N/l = 539 turns/0.215 m since l = 21.5 cm = 0.215 m

B₁ = 5.33 A × 539 turns/0.215 m × 4π × 10⁻⁷ H/m = 0.017 T

Let B₂ be the magnetic field for the inner solenoid. For this solenoid, i = 1.95 A, n = N/l = 395 turns/0.181 m since l = 18.1 cm = 0.181 m

B₂ = 1.95 A × 395 turns/0.181 m × 4π × 10⁻⁷ H/m = 0.0053 T

Since the magnetic fields are in opposite direction, the net magnetic field is B = B₁ - B₂ = 0.017 T - 0.0053 T = 0.0117 T.

This magnetic field produces a magnetic force on the proton which is equal to the centripetal force on the proton. So at r = 5.95 mm

Bev = mv²/r

v = Ber/m = 0.0117 T × 1.6 × 10 ⁻¹⁹ C × 5.95 × 10⁻³ m/1.67 10⁻²⁷ kg = 6669.7 m/s ≅ 6700 m/s

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tester [92]

Answer: 40\ N/C

Explanation:

Given

Magnitude of charge is q=0.5\ C

Force experienced is F=20\ N

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6 0
3 years ago
A doppler effect occurs when a source of sound moves. True or False
Shtirlitz [24]
<h2>Answer: True </h2>

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In other words, it is the variation of the frequency of a wave due to the relative movement of the source of the wave with respect to its receiver.

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4 0
3 years ago
A modern compact fluorescent lamp contains 1.4 mg of mercury (Hg). If each mercury atom in the lamp were to emit a single photon
Reika [66]

Answer:

A. 1.64 J

Explanation:

First of all, we need to find how many moles correspond to 1.4 mg of mercury. We have:

n=\frac{m}{M_m}

where

n is the number of moles

m = 1.4 mg = 0.0014 g is the mass of mercury

Mm = 200.6 g/mol is the molar mass of mercury

Substituting, we find

n=\frac{0.0014 g}{200.6 g/mol}=7.0\cdot 10^{-6} mol

Now we have to find the number of atoms contained in this sample of mercury, which is given by:

N=n N_A

where

n is the number of moles

N_A=6.022\cdot 10^{23} mol^{-1} is the Avogadro number

Substituting,

N=(7.0\cdot 10^{-6} mol)(6.022\cdot 10^{23} mol^{-1})=4.22\cdot 10^{18} atoms

The energy emitted by each atom (the energy of one photon) is

E_1 = \frac{hc}{\lambda}

where

h is the Planck constant

c is the speed of light

\lambda=508 nm=5.08\cdot 10^{-7}nm is the wavelength

Substituting,

E_1 = \frac{(6.63\cdot 10^{-34} Js)(3\cdot 10^8 m/s)}{5.08\cdot 10^{-7} m}=3.92\cdot 10^{-19} J

And so, the total energy emitted by the sample is

E=nE_1 = (4.22\cdot 10^{18} )(3.92\cdot 10^{-19}J)=1.64 J

4 0
3 years ago
Calculate the momentum of a 1800 kg elephant charging a hunter at a speed of 7.50 m/s.
liq [111]

The amount of movement, linear momentum, momentum or momentum is a physical quantity derived from a vector type that describes the movement of a body in any mechanical theory. In classical mechanics, the amount of movement is defined as the product of body mass and its velocity at a given time.

p= mv

Where,

m = mass

v = Velocity

Our values are given as,

m = 1800kg

v = 7.5m/s

Replacing we have that,

p = (1800)(7.5)

p = 13500kg\cdot m/s

Therefore the momentum is 13500kg\cdot m/s

8 0
3 years ago
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