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    According to Einstein's prediction, which of the following happens to the time interval between two events occurring in an inertial frame of reference
    Question

    According to Einstein's prediction, which of the following happens to the time interval between two events occurring in an inertial frame of reference as the frame's velocity with respect to the observer increases?

    A.

    Interval becomes zero as velocity equals half the speed of light

    B.

    Interval remains constant

    C.

    Interval increases

    D.

    Interval decreases

    Correct option is C

    According to Einstein’s theory of special relativity, time dilation occurs as the velocityof a moving frame increases relative to a stationary observer. The time interval Δtmeasured in the moving frame is related to the interval Δt in the stationary frame by:Δt=Δt1v2c2As the velocity v of the frame increases, the denominator 1v2c2 decreases,making the observed time interval Δt increase.\begin{aligned}&\text{According to Einstein's theory of \textbf{special relativity}, time dilation occurs as the velocity} \\&\text{of a moving frame increases relative to a stationary observer. The time interval } \Delta t' \\&\text{measured in the moving frame is related to the interval } \Delta t \text{ in the stationary frame by:} \\[10pt]&\Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{v^2}{c^2}}} \\[10pt]&\text{As the velocity } v \text{ of the frame \textbf{increases}, the denominator } \sqrt{1 - \frac{v^2}{c^2}} \text{ \textbf{decreases},} \\&\text{making the observed time interval } \Delta t' \text{ \textbf{increase}.}\end{aligned}​​

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