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Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3?
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Two equal and opposite charges m1 and m2 are accelerated in a uniform ...
Solution:
Given, m1/m2 = 0.5
Let the magnitude of the charges be q.
Electric field, E = F/q
where F is the force acting on the charge.
Let the acceleration of m1 and m2 be a1 and a2 respectively.
By using the formula, F = ma, we can write
F = qE
∴ ma = qE
∴ a = qE/m
where m is the mass of the charge.
Thus, acceleration is directly proportional to the electric field.
So, we have
a1/a2 = E1/E2
We know,
E = F/q
F = qE
q = F/E
Thus, the acceleration of the charges depends on the ratio of the electric force acting on the charges to their mass.
Let us assume the electric field is E.
Then, the electric force acting on m1 and m2 is F1 = qE and F2 = -qE.
The negative sign indicates that the force is opposite in direction for m2.
As the distance travelled by the charges is the same, the work done on the charges is the same.
∴ W = F1d = F2d
qEd = -qEd
∴ d = 0
This means that the charges will not move if they are of equal magnitude.
But, m1 is greater than m2, so the acceleration of m1 will be less than that of m2.
Thus, the correct option is (c) a1/a2 = 2.
Explanation:
- Introduction: The problem is about finding the ratio of acceleration of two charges in a uniform electric field, given their masses are in a certain ratio.
- Electric Field and Acceleration: The electric field and acceleration are related to each other through the formula, a = qE/m, where q is the magnitude of the charge, and m is the mass of the charge.
- Electric Force: The electric force acting on the charges depends on the magnitude of the charge and the electric field. The force acting on the charges is in opposite directions due to their opposite charges.
- Work Done: The work done on the charges is the same, as they travel the same distance and experience the same electric force. This is because the electric force is a conservative force.
- Acceleration and Mass: The acceleration of the charges is inversely proportional to their masses. This means that the larger the mass, the lower the acceleration.
- Conclusion: The correct option is (c) a1/a2 = 2, as the ratio of masses is 0.5.
Given, m1/m2 = 0.5
Let the magnitude of the charges be q.
Electric field, E = F/q
where F is the force acting on the charge.
Let the acceleration of m1 and m2 be a1 and a2 respectively.
By using the formula, F = ma, we can write
F = qE
∴ ma = qE
∴ a = qE/m
where m is the mass of the charge.
Thus, acceleration is directly proportional to the electric field.
So, we have
a1/a2 = E1/E2
We know,
E = F/q
F = qE
q = F/E
Thus, the acceleration of the charges depends on the ratio of the electric force acting on the charges to their mass.
Let us assume the electric field is E.
Then, the electric force acting on m1 and m2 is F1 = qE and F2 = -qE.
The negative sign indicates that the force is opposite in direction for m2.
As the distance travelled by the charges is the same, the work done on the charges is the same.
∴ W = F1d = F2d
qEd = -qEd
∴ d = 0
This means that the charges will not move if they are of equal magnitude.
But, m1 is greater than m2, so the acceleration of m1 will be less than that of m2.
Thus, the correct option is (c) a1/a2 = 2.
Explanation:
- Introduction: The problem is about finding the ratio of acceleration of two charges in a uniform electric field, given their masses are in a certain ratio.
- Electric Field and Acceleration: The electric field and acceleration are related to each other through the formula, a = qE/m, where q is the magnitude of the charge, and m is the mass of the charge.
- Electric Force: The electric force acting on the charges depends on the magnitude of the charge and the electric field. The force acting on the charges is in opposite directions due to their opposite charges.
- Work Done: The work done on the charges is the same, as they travel the same distance and experience the same electric force. This is because the electric force is a conservative force.
- Acceleration and Mass: The acceleration of the charges is inversely proportional to their masses. This means that the larger the mass, the lower the acceleration.
- Conclusion: The correct option is (c) a1/a2 = 2, as the ratio of masses is 0.5.
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Two equal and opposite charges m1 and m2 are accelerated in a uniform ...
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Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3?
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Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3?.
Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two equal and opposite charges m1 and m2 are accelerated in a uniform electric field through the same distance. what is the ratio of the acceleration if the ratio of the mases is m1/m2=0.5 ? a) a1/a2= 0.5 b) a1/a2=1 c)a1/a2=2 d)a1/a2 = 3?.
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