Question

The accuracy in the measurement of speed of light measured as $3.00\times {10}^{8}m/s$ is :

• A. $30\%$
• B. $\frac{1}{3}\%$
• C. $3\%$
• D. $\frac{1}{30}\%$

Answer 1

The correct option is B $\frac{1}{3}\%$

Accuracy is defined as the possible error in the calculation.

Now, speed of light here is measured as $3.00\times {10}^8$ which is measured up to $0.01\times {10}^8$

Thus accuracy, in percentage $=\frac{0.01\times {10}^8}{3.00\times {10}^8}\times 100=\frac{1}{3}$%