A physical quantity `rho` is calculated by using the formula `rho =(1)/(10)(xy^(2))/(z^(1//3))`, where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are `2%, 1%` and `3%`, respectively, then the maximum fractional error in the calculation of `rho` is

Options

A. 0.005
B. 0.05
C. 0.06
D. 0.07

Explanation

To solve the problem, we need to calculate the maximum fractional error in the physical quantity \( \rho \) using the given formula and the fractional errors in the measurements of \( x \), \( y \), and \( z \).

### Step-by-Step Solution:

1. **Write the formula for \( \rho \)**:
\[ \rho = \frac{1}{10} \cdot \frac{xy^2}{z^{1/3}} \]
...