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Dennis_Churaev [7]

3 years ago

10

A cosmic ray electron moves at 7.50×106 m/s perpendicular to the Earth’s magnetic field at an altitude where field strength is 1

.00×10−5 T . What is the radius of the circular path the electron follows?

1 answer:

wlad13 [49]3 years ago

4 0

Answer:

4.266 m.

Explanation:

Given,

Speed of the electron = 7.50 x 10⁶ m/s

Magnetic field, B = 1 x 10⁻⁵ T

radius of circular path = ?

Using formula of radius of curvature of the charge particle

$r = \dfrac{mv}{qB}$

m is mass of electron

q is charge of electron

$r = \dfrac{9.11 \times 10^{-31}\times 7.50\times 10^6}{1.6\times 10^{-19}\times 1 \times 10^{-5}}$

r = 4.266 m

Hence, radius of circular path is equal to 4.266 m.

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He instruction booklet for your pressure cooker indicates that its highest setting is 11.1 psi . you know that standard atmosphe

blagie [28]

Given that,

Atmospheric Pressure = 14.7 psi

Cooking Pressure = 14.7 +11.1 = 25.8 psi

Take, Atmospheric Temperature = 25 °C

Cooking Temperature = ??

Since, we know that Gas equation is given by:

PV = nRT

or

P ∝ T

P1 / T1 = P2 / T2

14.7/ 25 = 25.8/ T2

T2 = 25*25.8/14.7

T2 = 43.87 °C

The cooking pressure will be 43.87 °C.

5 0

3 years ago

An atom of carbon has a radius of 67.0 pm and the average orbital speed of the electrons in it is about 1.3 x 10⁶ m/s.

adoni [48]

Answer :

The least possible uncertainty in an electron's velocity is, $4.32\times 10^{5}m/s$

The percentage of the average speed is, 33 %

Explanation :

According to the Heisenberg's uncertainty principle,

$\Delta x\times \Delta p=\frac{h}{4\pi}$ ...........(1)

where,

$\Delta x$ = uncertainty in position

$\Delta p$ = uncertainty in momentum

h = Planck's constant

And as we know that the momentum is the product of mass and velocity of an object.

$p=m\times v$

or,

$\Delta p=m\times \Delta v$ .......(2)

Equating 1 and 2, we get:

$\Delta x\times m\times \Delta v=\frac{h}{4\pi}$

$\Delta v=\frac{h}{4\pi \Delta x\times m}$

Given:

m = mass of electron = $9.11\times 10^{-31}kg$

h = Planck's constant = $6.626\times 10^{-34}Js$

radius of atom = $67.0pm=67.0\times 10^{-12}m$ $(1pm=10^{-12}m)$

$\Delta x$ = diameter of atom = $2\times 67.0\times 10^{-12}m=134.0\times 10^{-12}m$

Now put all the given values in the above formula, we get:

$\Delta v=\frac{6.626\times 10^{-34}Js}{4\times 3.14\times (134.0\times 10^{-12}m)\times (9.11\times 10^{-31}kg)}$

$\Delta v=4.32\times 10^{5}m/s$

The minimum uncertainty in an electron's velocity is, $4.32\times 10^{5}m/s$

Now we have to calculate the percentage of the average speed.

Percentage of average speed = $\frac{\text{Uncertainty in speed}}{\text{Average speed}}\times 100$

Uncertainty in speed = $4.32\times 10^{5}m/s$

Average speed = $1.3\times 10^{6}m/s$

Percentage of average speed = $\frac{4.32\times 10^{5}m/s}{1.3\times 10^{6}m/s}\times 100$

Percentage of average speed = 33.2 % ≈ 33 %

Thus, the percentage of the average speed is, 33 %

3 0

3 years ago

The first impression you give is the most important what does it mean?

Neko [114]

Answer:

The reason why first impressions are so important is that they last well beyond that moment. This is thanks to something called the primacy effect, which means that when someone experiences something before other things in a sequence, they remember that first thing more.

3 0

3 years ago

What indecates that 2 objects are in thermal equilibrium ?

Lesechka [4]

Answer:

if they are the same temperature

Explanation:

8 0

2 years ago

A student clicks the mouse at time intervals of 1.60, 2.10, 2.40, 1.90 what is the standard deviation of this dataset.

alina1380 [7]

I hope this helps you
and stay safe

6 0

3 years ago