Question

If $L=(20\pm 0.01)m$ and $B=(10\pm 0.02)m$ then L/B is

• A. $(2\pm 0.03)m$
• B. $(2\pm 0.015)m$
• C. $(2\pm 0.01)m$
• D. $(2\pm 0.005)m$

Answer 1

The correct option is A $(2\pm 0.03)m$

$\frac{L}{B}=\frac{20}{10}=2$

Now,

Error in the measurement of $L=0.01M=△L$

Error in the measurement of $B=△b=0.02m$

$△M=△L+△B=0.01+0.02=0.03$

Therefore, $\frac{L}{B}=(2\pm 0.03)m$