To find the difference in the diameters of the two cells, we need to subtract the diameter of Cell Q from the diameter of Cell P.
The diameters in meters are:
- Cell P: \(5.0 \times 10^{-4} , m\)
- Cell Q: \(3.0 \times 10^{-5} , m\)
First, we need to convert both values to the same power of ten:
Cell P: \[ 5.0 \times 10^{-4} , m = 0.0005 , m \]
Cell Q: \[ 3.0 \times 10^{-5} , m = 0.00003 , m \]
Now we can calculate the difference: \[ \text{Difference} = \text{Cell P} - \text{Cell Q} = 0.0005 , m - 0.00003 , m \]
Converting \(0.0005\) to the same power of ten as \(0.00003\): \[ 0.0005 , m = 0.0005 , m = 0.00050 , m \]
Now perform the subtraction: \[ 0.00050 , m - 0.00003 , m = 0.00047 , m \]
Thus, the difference in diameters between Cell P and Cell Q is: \[ 0.00047 , m \]
The correct answer is B. 0.00047.