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    With a certain set of diameters, a tractor’s front wheels make 2 revolutions for every 1 revolution of the rear wheels. The effect of changing wheel d
    Question

    With a certain set of diameters, a tractor’s front wheels make 2 revolutions for every 1 revolution of the rear wheels. The effect of changing wheel diameter(s) is shown in the given plot.

    In this context, which of the following statements is CORRECT?

    A.

    Only the rear wheel diameter is decreased

    B.

    Both the rear and front wheel diameters are decreased equally

    C.

    Both the rear and front wheel diameters are increased equally

    D.

    The rear wheel diameter is decreased, and the front wheel diameter is increased equally

    Correct option is C

    Solution:
    Initially, the front wheels make 2 revolutions for every 1 revolution of the rear wheels. This means the front wheel diameter is half of the rear wheel diameter.
    From the graph:
    · The vertical axis shows front revolutions per rear revolution.
    · As the absolute change in diameters increases, this ratio decreases from 2 and approaches 1.
    Key idea: If both the front and rear wheel diameters are increased equally, then:
    · The difference between their diameters becomes less significant relative to their sizes.
    · As a result, the ratio of revolutions moves closer to 1, exactly as shown in the plot.
    Why other options are incorrect: · (a) Only decreasing rear diameter would increase the ratio, not reduce it.
    · (b) Decreasing both equally would not smoothy approach 1 as shown.
    · (d) Decreasing rear and increasing front would cause the ratio to cross below 1, which is not shown.
    Correct answer: (c) Both the rear and front wheel diameters are increased equally

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