A light bulb is turned on at the one end of stadium. Use the wave equation to determine the time it will take to reach you. Assume the distance between you and the light bulb is 225m. (A:1)单项选择题
A
a. 0.750 µs
B
b. 1350 µs
C
c. 6.75 µs
D
d. 1.50 µs

Question

A light bulb is turned on at the one end of stadium. Use the wave equation to determine the time it will take to reach you. Assume the distance between you and the light bulb is 225m. (A:1)

BlackTom AI · Accepted Answer

The problem asks for the time it takes light to travel 225 m to reach you, using the wave/propagation idea where time = distance ÷ speed.
Option a: 0.750 µs. Using the speed of light c ≈ 3.00 × 10^8 m/s, time = 225 m ÷ 3.00 × 10^8 m/s = 7.5 × 10^−7 s = 0.750 µs. This matches the calculation precisely.
Option b: 1350 µs. This would correspond to a time of 1.350 × 10^−3 s, which is orders of magnitude larger than the actual travel time for 225 m at the speed of light; it implies an effective speed near 0.167 m/s, which is unrealistic for light.
Option c: 6.75 µs. This would imply a speed of roughly 225 m ÷ 6.75 × 10^−6 s ≈ 3.33 × 10^7 m/s, which is about 1/9th the speed of light. Since light travels at about 3 × 10^8 m/s in air (nearly vacuum), this option underestimates the speed.
Option d: 1.50 µs. This corresponds to a speed of 225 m ÷ 1.50 × 10^−6 s = 1.5 × 10^8 m/s, which is about half the speed of light; again, not consistent with the known speed of light in air for this scenario.
In summary, the only value that aligns with the fundamental relation time = distance ÷ speed for light traveling 225 m is 0.750 µs, making option a the correct choice, while the others reflect speeds that are either too slow or inconsistent with the constant speed of light in air.

A light bulb is turned on at the one end of stadium. Use the wave equation to determine the time it will take to reach you. Assume the distance between you and the light bulb is 225m. (A:1)单项选择题

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