× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
w
3
w
3
e
3
3
r
3
b
2
M
2
V
2
f
2
c
2
c
2
K
2
New Topic  
GavinTwee10 GavinTwee10
wrote...
Posts: 12
Rep: 7 0
12 years ago
Two isotopes of uranium U235 m= 3.90 * 10^-25 kg and U238 m=
3.95 *10^-25 kg are sent into a mass spectrometer with speed of 1.05*10^5 m/ s . Given that each
isotope is single ionized (has the charge equal to the charge of the proton), and that the strength
of the magnetic field is 0.750T, what is the distance d between the two isotopes after they
complete half a circular orbit?
Read 980 times
3 Replies

Related Topics

Replies
wrote...
Staff Member
12 years ago
Rightwards Arrow 1cm
 Attached file 
You must login or register to gain access to this attachment.
- Master of Science in Biology
- Bachelor of Science
wrote...
12 years ago
The isotopes are singly ionized, which means that a single electron has been removed from each atom. And the isotopes are now having charge of e = 1.60 10 19 C . 6 From the relation rqB mv mv 2 , and thus r = . = qvB , we obtain v = qB m r r235 = r238 = mv (3.90 10 25 kg )(1.05 10 5 m / s ) = 34.1 cm . = qB (1.60 10 19 C )(0.750 T ) mv (3.95 10 25 kg )(1.05 10 5 m / s ) = 34.6 cm . = qB (1.60 10 19 C )(0.750 T ) The separation between the isotopes: d = 2r238 2r235 = 2(34.6 cm 34.1 cm) = 1 cm . 16.4 The magnetic force exerted on a current-carrying wire As a charged particle experiences a force when it moves across magnetic field lines. The same thing happens when a wire carries current on it. Consider a straight segment of length L of a wire with a current I flowing from left to right, presents in a magnetic field B, as shown in figure. If the conducting charges move through the wire with an average speed v, the time required for them to move from one end of the wire segment to the other is t = L / v . The amount of charge that flows through the wire in this time is q = I t = IL / v . Therefore, the force exerted on the wire is I L F = qvB sin = vB sin . v Hence, we have F = ILB sin . Maximum force occurs when the current is perpendicular to the magnetic field ( = 90o) and is zero if the current is in the same direction as B ( = 0o). The direction of the magnetic force is given by the RHR, where the direction of charge velocity v is now the direction of current I.
GavinTwee10 Author
wrote...
12 years ago
Thanks guys, good explanation as well guest. Saved me on my test Wednesday!
New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers
  518 People Browsing
Related Images
  
 1500
  
 195
  
 172
Your Opinion
Do you believe in global warming?
Votes: 488