Significant Figures in Sum

Q. If the length of a simple pendulum is recorded as $(90.0\pm 0.02)\text{cm}$ and period as $(1.9\pm 0.02)\text{s}$, the percentage of error in the measurement of acceleration due to gravity is

1. $4.2\%$
2. $2.1\%$
3. $1.5\%$
4. $2.8\%$

Q.

Add 3.1421 , 0.241 and 0.09 and give your answer with correct precision

1. 3.4

2. 3.4731

3. 3.47

4. 3.473

Q. In an experiment, the percentage of error occured in the measurement of physical quantities $A,B,C$ and $D$ are $1\%,2\%,3\%$and $4\%$ respectively. Then, the maximum percentage of error in the measurement of $X$, where $X=\frac{A^2{B}^{1/2}}{C^{1/3}{D}^3},$ will be

1. $\left(\frac{3}{13}\right)\%$
2. $16\%$
3. $-10\%$
4. $10\%$

Q. In an experiment, the percentage of error occured in the measurement of physical quantities $A,B,C$ and $D$ are $1\%,2\%,3\%$and $4\%$ respectively. Then, the maximum percentage of error in the measurement of $X$, where $X=\frac{A^2{B}^{1/2}}{C^{1/3}{D}^3},$ will be

1. $\left(\frac{3}{13}\right)\%$
2. $16\%$
3. $-10\%$
4. $10\%$