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Answer :
Rounded to two decimal places and expressed in scientific notation, the frequency (f) of the microwaves in the microwave oven is approximately 1.21 x 10^8 Hz.
To find the frequency (f) in Hz, we need to solve the given equation:
In f = 19.914
To isolate f, we need to exponentiate both sides of the equation using the natural logarithm's inverse, which is the exponential function. In this case, we'll use the base of e (Euler's number) to exponentiate both sides:
e^(In f) = e^(19.914)
The exponential of the natural logarithm cancels out, leaving us with:
f = e^(19.914)
Using a calculator or computer software, we can evaluate the right side of the equation to find the value of f:
f ≈ 1.207 x 10^8 Hz
Rounded to two decimal places and expressed in scientific notation, the frequency (f) of the microwaves in the microwave oven is approximately 1.21 x 10^8 Hz.
It's important to note that the natural logarithm (In) is the logarithm with base e, and exponentiating with base e (Euler's number) is a common mathematical operation to reverse the effect of taking the natural logarithm. In this case, we applied this operation to find the original frequency (f) in Hz from the given equation.
For more such question on microwaves visit:
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