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The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0?
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Calculation of the Ratio of Electrostatic Force to Gravitational Force between Electrons
Electrostatic Force
The electrostatic force between two point charges can be calculated using Coulomb's Law: F = kq1q2/r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
Gravitational Force
The gravitational force between two objects can be calculated using Newton's Law of Gravitation: F = Gm1m2/r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them.
Calculating the Ratio
Let's assume that the two electrons have the same charge (-1.602 x 10^-19 C) and mass (9.109 x 10^-31 kg). Plugging in these values, we get:
Electrostatic Force: F = (9 x 10^9 Nm^2/C^2)(-1.602 x 10^-19 C)^2/(1 x 10^-10 m)^2 = 2.307 x 10^-28 N
Gravitational Force: F = (6.67 x 10^-11 Nm^2/kg^2)(9.109 x 10^-31 kg)^2/(1 x 10^-10 m)^2 = 8.238 x 10^-71 N
Ratio: F(ES)/F(G) = (2.307 x 10^-28 N)/(8.238 x 10^-71 N) = 2.802 x 10^42
Therefore, the ratio of electrostatic force to gravitational force between the two electrons is of the order (c) 10^42.
Electrostatic Force
The electrostatic force between two point charges can be calculated using Coulomb's Law: F = kq1q2/r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
Gravitational Force
The gravitational force between two objects can be calculated using Newton's Law of Gravitation: F = Gm1m2/r^2, where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them.
Calculating the Ratio
Let's assume that the two electrons have the same charge (-1.602 x 10^-19 C) and mass (9.109 x 10^-31 kg). Plugging in these values, we get:
Electrostatic Force: F = (9 x 10^9 Nm^2/C^2)(-1.602 x 10^-19 C)^2/(1 x 10^-10 m)^2 = 2.307 x 10^-28 N
Gravitational Force: F = (6.67 x 10^-11 Nm^2/kg^2)(9.109 x 10^-31 kg)^2/(1 x 10^-10 m)^2 = 8.238 x 10^-71 N
Ratio: F(ES)/F(G) = (2.307 x 10^-28 N)/(8.238 x 10^-71 N) = 2.802 x 10^42
Therefore, the ratio of electrostatic force to gravitational force between the two electrons is of the order (c) 10^42.
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The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0?
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The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0?.
The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of electrostatic force to gravitational force between the two electrons is of the order (a) 10^36 (b) 10^ 39 (c) 10^42 (d) 10^ 0?.
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