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ANTONII [103]
3 years ago
9

What is the deBroglie wavelength of an electron moving at 1.37 x 106 m/s if the mass of the electron is 9.11 x 10-28 g

Physics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

The value  is  \lambda  = 5.30 *10^{-10 } \  m

Explanation:

From the question we are told that

    The velocity of the electron is  v  = 1.37 *10^{6} \  m/s

    The mass of the electron is  m  =  9.11 *10^{-28} \  g  =  9.11 *10^{-31} \  kg

Generally the  deBroglie wavelength  is mathematically represented as

       \lambda  =  \frac{h}{mv}

Here h is the Planck'c constant with value  h = 6.62607015 * 10^{-34} J \cdot s

So

      \lambda  =  \frac{6.62607015 * 10^{-34} }{9.11 *10^{-31} *  1.37 *10^{6}}

=>   \lambda  = 5.30 *10^{-10 } \  m

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Explanation:

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3 years ago
A current of 1.41 A in a long, straight wire produces a magnetic field of 5.61 uT at a certain distance from the wire. Find
pshichka [43]

Answer:

0.050 m

Explanation:

The strength of the magnetic field produced by a current-carrying wire is given by

B=\frac{\mu_0 I}{2\pi r}

where

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I is the current in the wire

r is the distance from the wire

And the magnetic field around the wire forms concentric circles, and it is tangential to the circles.

In this problem, we have:

I=1.41 A (current in the wire)

B=5.61\mu T=5.61\cdot 10^{-6} T (strength of magnetic field)

Solving  for r, we find the distance  from the wire:

r=\frac{\mu_0 I}{2\pi B}=\frac{(4\pi \cdot 10^{-7})(1.41)}{2\pi (5.61\cdot 10^{-6})}=0.050 m

4 0
3 years ago
A depiction of a famous scientific experiment is given. Consider how the beam changes when the magnet is off compared to when th
iogann1982 [59]

Answer:

The beam used is a negatively charged electron beam with a velocity of

v = E / B

Explanation:

After reading this long statement we can extract the data to work on the problem.

* They indicate that when the beam passes through the plates it deviates towards the positive plate, so the beam must be negative electrons.

* Now indicates that the electric field and the magnetic field are contracted and that the beam passes without deviating, so the electric and magnetic forces must be balanced

           F_{e} =  F_{m}

           q E = qv B

           v = E / B

this configuration is called speed selector

They ask us what type of beam was used.

The beam used is a negatively charged electron beam with a velocity of v = E / B

6 0
3 years ago
The latitude of the city of Arlington is about 32.7357°. Calculate the following: (a) The angular speed of the Earth. (b) The li
julia-pushkina [17]

Answer:

Explanation:

a ) The earth rotates by 2π radian in 24 x 60 x 60 s

so angular speed ( w )  = 2π / (24 x 60 x 60)  = 7.268 x  10⁻⁵ rad / s

b ) Linear speed of city of Arlington ( v )  = w r = w R Cosλ where R is radius of the earth and λ is latitude .

v = 7.268 x 10⁻⁵ x  6.371 x 10⁶ cos 32.7357

389.5 m /s

acceleration = w² r = w² R Cos 32.7357

= (7.268 x 10⁻⁵ )² x 6.371 x 10⁶ x cos 32.7357

=283.08 x 10⁻⁴ m/s²

c) velocity ratio =

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R cos 32.73/ R  

= Cos 32.73

= 0.84 .

6 0
3 years ago
A force 6.3 N is applied at a distance 2.1 m from the point of rotation of a wrench. If the force is applied in a direction para
Ganezh [65]

Answer: 0 (zero)

Explanation:

The formula for torque = force × perpendicular distance between force and point of rotation.

Where force = 6.3 N, distance between force and point of rotation = 2.1m

It has been stated from the question that the force is applied in such a way that it is parallel to the position vector.

If we take the magnitude of this position vector, it will give the distance between the force and the point of rotation which still shows that the force is parallel to the rotation point which does not satisfy the condition for torque to occur hence torque is zero.

8 0
3 years ago
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