NEET 2010
- Exam
- NEET
- Year
- 2010
- Subject
- Physics
- Chapter
- Mathematics in Physics
NEET 2010 · Physics · Mathematics in Physics
A student measures the distance traversed in free fall of a body,...
A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate , the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are and respectively, the percentage error in the estimation of is
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
\begin{aligned}
& h=\frac{1}{2} g t^2 \\
& \text{ or } \quad g=\frac{\mathrm{h}}{\mathrm{t}^2} \\
& \therefore \quad \log \mathrm{g}=\log \mathrm{h}-2 \log \mathrm{t} \\
& \left(\frac{\Delta g}{g} \times 100\right)_{\max }=\left(\frac{\Delta \mathrm{h}}{\mathrm{h}} \times 100\right)+2\left(\frac{\Delta \mathrm{t}}{\mathrm{t}} \times 100\right) \\
& =\mathrm{e}_1+2 \mathrm{e}_2 \\
&
\end{aligned}