Time taken by light to travel 1 meter is roughly 3 x 10 to the negative 8th power. pls. formulate a problem and solution.
Time taken by light to travel is 3×10 to the negative 8th power.pls. formulate a problem and answer
Time taken by light to travel 1 meter is roughly 3 x 10-⁸
Certainly! Here's a problem based on the given information:
Problem: Calculate the time taken by light to travel a distance of 1 kilometer.
Solution:
To solve this problem, you can follow these steps:
Step 1: Convert the given distance from meters to kilometers.
- 1 kilometer is equal to 1000 meters.
Step 2: Use the given speed of light to calculate the time taken.
- The speed of light is approximately 3 x 10^8 meters per second.
Time = Distance / Speed
Time = (1000 meters) / (3 x 10^8 meters per second)
Step 3: Perform the division to find the time taken.
- Divide 1000 by 3 x 10^8:
Time = 1000 / 3 x 10^8
Time ≈ 3.33 x 10^(-6) seconds
Therefore, the time taken by light to travel a distance of 1 kilometer is approximately 3.33 x 10^(-6) seconds.
Problem:
Calculate the time taken by light to travel a distance of 1 meter.
Solution:
To calculate the time taken by light to travel a distance of 1 meter, we can use the formula:
Time = Distance / Speed
In this case, the speed of light is approximately 3 x 10^8 meters per second (3 x 10^8 m/s).
So, substituting the values into the equation:
Time = 1 meter / (3 x 10^8 m/s)
To simplify the expression, we can rewrite 3 x 10^8 as 3 / (10^-8):
Time = 1 meter / (3 / (10^-8) m/s)
Now, dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite the expression as:
Time = 1 meter x ((10^-8) m/s) / 3
Further simplifying, we have:
Time = (10^-8) / 3 seconds
Now, we can substitute the numerical values:
Time = (1 / 10^8) / 3 seconds
evaluating further will give:
Time = 3.33 x 10^-9 seconds
Therefore, the time taken by light to travel a distance of 1 meter is approximately 3.33 x 10^-9 seconds.