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An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]
    Correct answer is '8'. Can you explain this answer?
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    An uncharged parallel plate capacitor having its lower end fixed and ...
    Let in new equilibrium the upper plate is displaced by x units.
    If we get real x less than L then only new equilibrium is achieved.
    Here, force between plates of capacitor = spring force
    , where, x = extension in spring and A is area of the plate.
    We know that, after connecting the switch, Q = C'V
    So,
    Maximum value of Kx(L − x)2
    We get K(L − x)2 + 2Kx(L − x)(−1) = 0
    x = L/3
    Maximum value of
    So for real x,
    Hence, the value of p + q + r = 8
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    An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]Correct answer is '8'. Can you explain this answer?
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    An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]Correct answer is '8'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]Correct answer is '8'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]Correct answer is '8'. Can you explain this answer?.
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