If a K⁰ meson at rest decays in 0.80 × 10−¹⁰ s,how far will a K⁰ meson moving at 0.96c travel through a bubble chamber? (c = 3.00 × 10⁸ m/s) A)8.2E-2 m B)2.3E-2 m C)6.5E-3 m D)1.2E-1 m E)4.6E-3 m

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Quizplus · Accepted Answer

The distance traveled by the moving meson can be calculated using the formula $d = v \times t'$, where $v = 0.96c$ and $t'$ is the time dilated lifespan of the meson. Time dilation can be calculated using the formula $t' = \frac{t}{\sqrt{1 - v^2/c^2}}$, where $t = 0.80 \times 10^{-10}$ s. Plugging in the values, we find $t'$ and then calculate $d$, which matches the value given in option A.

If a K0 Meson at Rest Decays in 0

If a K⁰ Meson at Rest Decays in 0