Physics, 27.01.2021 20:20 staxeeyy767

Two isotopes of carbon, carbon-12 and carbon-13, have masses of 1.993 10^-26 kg and 2.159 10^-26 kg, respectively. These two isotopes are singly ionized ( e) and each is given a speed of 7.50 10^5 m/s. The ions then enter the bending region of a mass spectrometer where the magnetic field is 0.9000 T. Required:
Determine the spatial separation between the two isotopes after they have traveled through a half-circle.

Answers: 1

Show answers

Answers

Answer from: nickeh30

0.0174 m

Explanation:

Given that:

mass of carbon 12 $m_{c \ 12} = 1.993 \times 10^{-26} \ kg$

mass of carbon 13 $m_{c \ 13} = 2.159 \times 10^{-26} \ kg$

Speed V = $7.50 \times 10^ 5 \ m/s$

$q = 1.6 \times 10^{-19 } \ C$

B = 0.9000 T

$R_1 = \dfrac{ m_{c \ 12} \ v}{ qB}$

$R_1 = \dfrac{ 1.993 \times 10^{-26} \ 7.50 \times 10^5}{ 1.6 \times 10^{-19} \times 0.90000}$

$R_1 =0.1038 \ m$

$R_2 = \dfrac{ m_{c \ 13} \ v}{ qB}$

$R_2= \dfrac{2.159 \times 10^{-26} \ 7.50 \times 10^5}{ 1.6 \times 10^{-19} \times 0.90000}$

$R_2 = 0.1125 \ m$

The spatial separation (D) = 2R_2 - 2R_1

$D = 2(0.1125 \ m) - 2(0.1038 \ m)$

D = 0.0174 m

Answer from: Quest

when insulating materials rub against each other, they may become electrically charged . electrons , which are negatively charged, may be 'rubbed off' one material and on to the other. the material that gains electrons becomes negatively charged. the material that loses electrons is left with a positive charge.

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Another question on Physics

Physics, 21.06.2019 22:30

What is the earliest point in the universe that we can observe? why can’t we see back further than this?

Answers: 2

Answer

Physics, 22.06.2019 00:40

Aballet student who learns with the of his instructor is demonstrating learning.

Answers: 3

Answer

Physics, 22.06.2019 12:30

Consider a hydrogen atom in the ground state. what is the energy of its electron? =e= jj now consider an excited‑state hydrogen atom. what is the energy of the electron in the =5n=5 level? =e5= j

Answers: 3

Answer

Physics, 22.06.2019 14:00

Why is rain likely when warm, moisture-laden air meets cold air? a) the lighter warm air will rise and cool down, causing condensation and rain. b) the cold air moves faster and pushes the warm air away, causing condensation and rain. c) the moisture in the warm air condenses on contact with the cold air, causing rain to fall. d) the cold air mixes with the warm air, reducing its temperature causing moisture to condense.

Answers: 1

Answer

You know the right answer?

Two isotopes of carbon, carbon-12 and carbon-13, have masses of 1.993 10^-26 kg and 2.159 10^-26 kg,...

Questions