Triply charged uranium-235 and uranium-238 ions are being separated in a mass spectrometer. (The much rarer uranium-235 is used as reactor fuel.) The masses of the ions are 3.90×10−25kg3.90×10−25kg and 3.95×10−25kg,3.95×10−25kg, respectively, and they travel at 3.0×105m/s3.0×105m/s in a 0.250-T field. What is the separation between their paths when they hit a target after traversing a semicircle? (b) Discuss whether this distance between their paths seems to be big enough to be practical in the separation of uranium-235 from uranium-238.

Yes

Explanation:

= Mass of uranium 238 ion =

= Mass of uranium 235 ion =

v = Velocity of ions =

q = Charge of triply charged ions =

B = Magnetic field = 0.25 T

The force balance is

The difference between the radius of the ions are

Separation is given by

The separation between their paths when they hit a target after traversing a semicircle is .

Yes, the distance between the paths is 2.5 cm is a practical separation between as it is easily measurable.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.