An electron moving at a speed of 5 x 10 raise to power 6m/s was shot through a sheet of paper which is 2.1 x 10 raise to power 4cm thick. The electron emerges from the paper with a speed of 2 x 10 raise to power 6 m/s. Find the time taken by the electron to pass through the sheet.
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This is quite annoying
I need the solving of this formula
To find the time taken by the electron to pass through the sheet of paper, we can use the formula for time:
Time = Distance/Speed
First, let's convert the thickness of the paper from centimeters to meters. To do this, we divide the thickness by 100:
Thickness = 2.1 x 10^4 cm = (2.1 x 10^4)/100 m = 2.1 x 10^2 m
Next, we calculate the distance the electron travels through the paper, which is equal to the thickness of the paper:
Distance = Thickness = 2.1 x 10^2 m
Now, we can calculate the time taken by the electron to pass through the sheet of paper:
Time = Distance/Speed = (2.1 x 10^2 m)/(2 x 10^6 m/s)
To simplify the calculation, we can cancel out a zero from both the numerator and denominator:
Time = (2.1 x 10^2)/(2 x 10^5 s)
Now, we divide 2.1 by 2, and subtract the exponents to simplify further:
Time = 1.05 x 10^-3 s
Therefore, the time taken by the electron to pass through the sheet of paper is 1.05 x 10^-3 seconds.