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SuperCoaching AE/JE by Testbook

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“Here you’ll get all PDFs & latest update for your AE/JE exams ✅ Join SuperCoaching AE/JE -Electrical: https://testbook.com/ae-je-electrical-coaching Civil: https://testbook.com/ae-je-civil-coaching Mechanical:https://testbook.com/ae-je-mechanical-coa...”

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A particle of mass m moves in a potential V(x) = kx^4. If the particle's total energy is E, what is the dependence of its oscillation period T on the amplitude A?
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Let f(x) = x^2 - 4x + 3. If the roots of f(x) = 0 are alpha and beta, find the value of alpha^3 + beta^3.
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Which of the following sets of quantum numbers is invalid for an electron in an atom?
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Let f(x) = x^2 - 4x + 3. If the roots of f(x) = 0 are alpha and beta, what is the value of the integral from alpha to beta of |f(x)| dx?
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A particle of mass m moves in a 1D potential V(x) = k|x|. If the total energy is E, what is the time period T of its oscillations?
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A particle moves in a circular path of radius R with a constant speed v. What is the magnitude of its average acceleration after it has completed half a revolution?
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Which of the following compounds exhibits the highest boiling point?
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A particle of mass m moves in a 1D potential V(x) = kx^4. If the total energy of the particle is E, what is the dependence of the period of oscillation T on the amplitude A?
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If the sum of the first n terms of an arithmetic progression is given by Sn = 3n^2 + n, what is its common difference?
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A particle moves in a circle of radius R with a constant angular velocity omega. What is the magnitude of its average acceleration over one full revolution?
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