Physics Exam > Physics Questions > A singly charged positive ion is accelerated ...
Start Learning for Free
A singly charged positive ion is accelerated through a potential difference of 1000V in a mass spectrograph. It then passes through a uniform magnetic field B = 1500 Gauss and then deflected into a circular path of radius 0.122 m. The mass number of the ion is :
- a)275
- b)200
- c)100
- d)159
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A singly charged positive ion is accelerated through a potential diffe...
Mass No. = No. of p + No. of neutron
= 2.75 × 102
A = 275
The correct answer is: 275
= 2.75 × 102
A = 275
The correct answer is: 275
Most Upvoted Answer
A singly charged positive ion is accelerated through a potential diffe...
Given information:
Potential difference (V) = 1000 V
Magnetic field (B) = 1500 Gauss = 0.15 Tesla
Radius of circular path (r) = 0.122 m
To find:
Mass number of the ion
Formula used:
The equation for the radius of the circular path of a charged particle moving in a magnetic field is given by:
r = mv / (qB)
where,
r = radius of the circular path
m = mass of the ion
v = velocity of the ion
q = charge of the ion
B = magnetic field
Solving for mass number:
Since the charge of the ion is singly charged (q = 1), we can rewrite the equation as:
r = mv / (B)
We know that the potential difference is given by:
V = qV
where,
V = potential difference
q = charge of the ion
So, we can rewrite the equation as:
V = (1/2)mv^2
Simplifying the equations, we get:
r = (2V / B)^0.5
v = (2V / m)^0.5
To eliminate the velocity (v), we substitute the value of v in terms of r into the equation for r:
r = (2V / mB)^0.5
r^2 = 2V / mB
m = 2V / (r^2B)
Substituting the given values:
m = 2 * 1000 / (0.122^2 * 0.15)
m ≈ 274.96
Since the mass number must be a whole number, we round it to the nearest whole number:
m ≈ 275
Therefore, the mass number of the ion is 275 (option A).
Potential difference (V) = 1000 V
Magnetic field (B) = 1500 Gauss = 0.15 Tesla
Radius of circular path (r) = 0.122 m
To find:
Mass number of the ion
Formula used:
The equation for the radius of the circular path of a charged particle moving in a magnetic field is given by:
r = mv / (qB)
where,
r = radius of the circular path
m = mass of the ion
v = velocity of the ion
q = charge of the ion
B = magnetic field
Solving for mass number:
Since the charge of the ion is singly charged (q = 1), we can rewrite the equation as:
r = mv / (B)
We know that the potential difference is given by:
V = qV
where,
V = potential difference
q = charge of the ion
So, we can rewrite the equation as:
V = (1/2)mv^2
Simplifying the equations, we get:
r = (2V / B)^0.5
v = (2V / m)^0.5
To eliminate the velocity (v), we substitute the value of v in terms of r into the equation for r:
r = (2V / mB)^0.5
r^2 = 2V / mB
m = 2V / (r^2B)
Substituting the given values:
m = 2 * 1000 / (0.122^2 * 0.15)
m ≈ 274.96
Since the mass number must be a whole number, we round it to the nearest whole number:
m ≈ 275
Therefore, the mass number of the ion is 275 (option A).
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer?
Question Description
A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer?.
A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer?.
Solutions for A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A singly charged positive ion is accelerated through a potential difference of 1000Vin a mass spectrograph. It then passes through a uniform magnetic fieldB= 1500 Gauss and then deflected into a circular path of radius 0.122m. The mass number of the ion is :a)275b)200c)100d)159Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup