Question

If X-rays with a frequency of 3×10^18 Hz travel 1 mm, what is the time it takes for them to cover this distance?

a) 3.33 × 10-¹⁶ seconds
b) 1.11 × 10-¹⁶ seconds
c) 1.0 × 10-¹⁶ seconds
d) 3.0 × 10-¹⁶ seconds

Answer 1

Using the speed of light (3×108 m/s) and the formula t = d / c, the time it takes for X-rays with a frequency of 3×1018 Hz to travel 1 mm is 3.33×10-12 seconds.

Step-by-step explanation:

To determine the amount of time it takes for X-rays of frequency 3×1018 Hz to travel 1 mm, we need to use the speed of light, which is approximately 3×108 meters per second (m/s). Since the question asks for the time to cover 1 mm, we first convert 1 mm to meters, which is 1 mm = 1×10-3 meters. Using the formula t = d / c, where t is time, d is distance, and c is the speed of light, the calculation is as follows:

• t = d / c = (1×10-3 m) / (3×108 m/s)
• t = 1×10-3 / 3×108
• t = 3.33 × 10-12 seconds

The correct answer for the time it takes for X-rays with a frequency of 3×1018 Hz to travel 1 mm is therefore 3.33×10-12 seconds.To determine the time it takes for X-rays with a frequency of 3×1018 Hz to travel a distance of 1 mm, we can use the equation t = 1/f, where t is the time and f is the frequency. So, t = 1/(3×1018 Hz). Using this equation, the time it takes for the X-rays to cover this distance is approximately 3.33 × 10-16 seconds (option a).