what distance does the electromagnetic radiation travel in 50.0 (nu)s?

I don't know that a (nu)s is, but what you do is multiply the time by the speed of light (3.00*10^10 cm/s) for the answer.

1 nanosecond (ns) = 10^-9 s
1 microsecond (ìs) = 10^-6 s

isn't it that the formula is c=λv, so divide wavelength is c/v, not multiply?

[it is 50.0 microsecond]

No. They don't ask anything about frequency. They ask how far the radiation travels

D = V*t

To determine the distance traveled by electromagnetic radiation in 50.0 (nu)s, we need to use the equation for the speed of light, which is given by the formula:

speed of light = wavelength × frequency

We know that the speed of light is approximately 299,792,458 meters per second (m/s).

To find the wavelength, we need to use the equation:

wavelength = speed of light / frequency

Now, we can calculate the distance traveled by electromagnetic radiation in 50.0 (nu)s using the following steps:

Step 1: Convert the time in nanoseconds (nu)s to seconds (s). Since 1 second is equal to 1 billion nanoseconds, we divide the given time by 1 billion:
50.0 (nu)s ÷ 1,000,000,000 = 0.00000005 seconds (s)

Step 2: Calculate the frequency using the reciprocal of the time:
frequency = 1 / time
frequency = 1 / 0.00000005 = 20,000,000 Hz

Step 3: Calculate the wavelength using the equation mentioned above:
wavelength = speed of light / frequency
wavelength = 299,792,458 m/s / 20,000,000 Hz ≈ 14.99 meters (m)

Therefore, the distance traveled by electromagnetic radiation in 50.0 (nu)s is approximately 14.99 meters.