Questions and Answers
What is the shape of the F − x graph?
What is the relationship between velocity and time for the given equation v = t^2?
What is the unit of potential energy U in the given equation U = 5x^2?
What is the nature of the force exerted by the spring on the body?
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What is the nature of the graph between velocity and time for the given equation?
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What is the slope of the graph in figure (A)?
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What is the velocity of the particle when x = 0.5 in the velocity-displacement graph?
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What is the equation of the velocity as a function of x in the velocity-displacement graph?
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What is the derivative of y = x^2 + 2x - 3?
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What is the shape of the graph of x^2y = 2?
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Study Notes
Graph Analysis
- Slope of +4 is present in graph (D)
- Positive slope is present in graphs (A) and (C)
- Velocity-displacement graph of a particle moving along a straight line is shown in figure, and the velocity as a function of x (0 ≤ x ≤ 1) is represented by options B, C, or D
Quadratic Equations
- If y = x² + 2x - 3, then the y - x graph is represented by option B
- Graph of x²y = 2 is best represented by option (C)
Spring Force and Potential Energy
- Spring force is given by F = -kx, where k is a constant and x is the deformation of the spring
- F - x graph is represented by option (C)
- Potential energy of a spring is U = 5x², where x is in meters and U is in joules, when the spring is elongated by x metres
Velocity and Time
- Velocity v varies with time t as v = t², so the plot between v and t will be parabolic, represented by option (A)
- Velocity can first increase and then decrease, first decrease and then increase, decrease continuously, or increase continuously
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Description
Practice problems on mathematical tools for JEE Physics, topic-wise questions to help you prepare for the exam.
