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Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P and Q are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C is
- a)5.2 x 10-4 N
- b)2.5 x 10-3 N
- c)1.5 x 10-3 N
- d)3.5 x 10-4 N
Correct answer is option 'B'. Can you explain this answer?
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Two insulated charged metallic spheres P and Q have their centres sepa...
Here, q1 = q2 = 3.2 x 10-7 C, r = 60cm = 0.6 m
Electrostatic force,
Electrostatic force,
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Two insulated charged metallic spheres P and Q have their centres sepa...
The mutual force of electrostatic repulsion between two charged metallic spheres
Given:
- Two insulated metallic spheres P and Q.
- The centres of P and Q are separated by a distance of 60 cm.
- The radii of P and Q are negligible compared to the distance of separation.
- The charge on each sphere is 3.2 x 10^-7 C.
To find:
- The mutual force of electrostatic repulsion between the two spheres.
Explanation:
Step 1: Calculating the electric field
- The electric field between two charged spheres can be calculated using the formula:
E = k * (Q / r^2)
where E is the electric field, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), Q is the charge on the sphere, and r is the distance between the centres of the spheres.
- Substituting the given values, we get:
E = (9 x 10^9 Nm^2/C^2) * (3.2 x 10^-7 C) / (0.6 m)^2
E = 2.133 x 10^4 N/C
Step 2: Calculating the force of repulsion
- The force of repulsion between two charged spheres can be calculated using the formula:
F = Q * E
where F is the force of repulsion, Q is the charge on each sphere, and E is the electric field.
- Substituting the given values, we get:
F = (3.2 x 10^-7 C) * (2.133 x 10^4 N/C)
F = 6.826 x 10^-3 N
- Converting the force to scientific notation, we get:
F = 6.826 x 10^-3 N
F = 6.826 x 10^-3 N
F ≈ 6.83 x 10^-3 N
Step 3: Rounding the answer
- Rounding the answer to the nearest significant figure, we get:
F ≈ 6.8 x 10^-3 N
Final Answer:
The mutual force of electrostatic repulsion between the two spheres is approximately 6.8 x 10^-3 N, which is equivalent to option B.
Given:
- Two insulated metallic spheres P and Q.
- The centres of P and Q are separated by a distance of 60 cm.
- The radii of P and Q are negligible compared to the distance of separation.
- The charge on each sphere is 3.2 x 10^-7 C.
To find:
- The mutual force of electrostatic repulsion between the two spheres.
Explanation:
Step 1: Calculating the electric field
- The electric field between two charged spheres can be calculated using the formula:
E = k * (Q / r^2)
where E is the electric field, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), Q is the charge on the sphere, and r is the distance between the centres of the spheres.
- Substituting the given values, we get:
E = (9 x 10^9 Nm^2/C^2) * (3.2 x 10^-7 C) / (0.6 m)^2
E = 2.133 x 10^4 N/C
Step 2: Calculating the force of repulsion
- The force of repulsion between two charged spheres can be calculated using the formula:
F = Q * E
where F is the force of repulsion, Q is the charge on each sphere, and E is the electric field.
- Substituting the given values, we get:
F = (3.2 x 10^-7 C) * (2.133 x 10^4 N/C)
F = 6.826 x 10^-3 N
- Converting the force to scientific notation, we get:
F = 6.826 x 10^-3 N
F = 6.826 x 10^-3 N
F ≈ 6.83 x 10^-3 N
Step 3: Rounding the answer
- Rounding the answer to the nearest significant figure, we get:
F ≈ 6.8 x 10^-3 N
Final Answer:
The mutual force of electrostatic repulsion between the two spheres is approximately 6.8 x 10^-3 N, which is equivalent to option B.
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Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer?
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Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer?.
Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two insulated charged metallic spheres P and Q have their centres separated by a distance of 60 cm. The radii of P andQ are negligible compared to the distance of separation. The mutual force of electrostatic repulsion if the charge on each is 3.2 x 10-7 C isa)5.2 x 10-4Nb)2.5 x 10-3 Nc)1.5 x 10-3 Nd)3.5 x 10-4 NCorrect answer is option 'B'. Can you explain this answer?.
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