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A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?
- a)27 degree
- b)30 degree
- c)45 degree
- d)0 degree
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uni...
Given:
Mass of the ball, m = 80mg
Charge on the ball, q = 2×10^-8 C
Electric field, E = 2×10^4 V/m
To find:
The angle made by the thread with vertical, θ.
Solution:
Let T be the tension in the thread.
The gravitational force acting on the ball is given by,
Fg = mg
where g is the acceleration due to gravity.
The electrostatic force acting on the ball is given by,
Fe = qE
where E is the electric field.
At equilibrium, the net force on the ball is zero.
Therefore, Tsinθ = Fg and Tcosθ = Fe
Substituting the values, we get
Tsinθ = mg
Tcosθ = qE
Dividing the above equations, we get
tanθ = (qE)/mg
Substituting the values, we get
tanθ = [(2×10^-8 C)×(2×10^4 V/m)]/(80×10^-6 kg×9.8 m/s^2)
tanθ = 0.27
Taking the inverse tangent on both sides, we get
θ = tan^-1(0.27)
θ = 27°
Therefore, the angle made by the thread with vertical is 27°.
Hence, option (a) is the correct answer.
Mass of the ball, m = 80mg
Charge on the ball, q = 2×10^-8 C
Electric field, E = 2×10^4 V/m
To find:
The angle made by the thread with vertical, θ.
Solution:
Let T be the tension in the thread.
The gravitational force acting on the ball is given by,
Fg = mg
where g is the acceleration due to gravity.
The electrostatic force acting on the ball is given by,
Fe = qE
where E is the electric field.
At equilibrium, the net force on the ball is zero.
Therefore, Tsinθ = Fg and Tcosθ = Fe
Substituting the values, we get
Tsinθ = mg
Tcosθ = qE
Dividing the above equations, we get
tanθ = (qE)/mg
Substituting the values, we get
tanθ = [(2×10^-8 C)×(2×10^4 V/m)]/(80×10^-6 kg×9.8 m/s^2)
tanθ = 0.27
Taking the inverse tangent on both sides, we get
θ = tan^-1(0.27)
θ = 27°
Therefore, the angle made by the thread with vertical is 27°.
Hence, option (a) is the correct answer.
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Community Answer
A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uni...
According to the diagram, Tsinθ = Eq; Tcosθ = mg. Where T is the tension in the thread, m is the mass of the ball, E is the electric field and q is the charge of the ball. Dividing these two, we get tanθ = Eq/mg. Now substituting the value of E=2*104V/m, m=80mg, q=2*10-8C, g=9.8m/s2, we get tanθ = 25/49. Therefore θ=27 degree.
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A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer?
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A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer?.
A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ball of 80mg mass and a 2*10-8 charge is hung with a thread in a uniform horizontal electric field of 2*104V/m. What is the angle made by the thread with vertical?a)27 degreeb)30 degreec)45 degreed)0 degreeCorrect answer is option 'A'. Can you explain this answer?.
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