The periods of oscillation of a simple pendulum in an experiment are recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s respectively. The average absolute error will be:

1. 0.1 s

2. 0.11 s

3. 0.01 s

4. 1.0 s

In an experiment, the following observations were recorded: initial length $L =2.820~\text{m}$, mass $M = 3.00~\text{kg}$, change in length $l = 0.087~\text{cm}$, diameter $D = 0.041~\text{cm}$. Taking $g = 9.81~\text{m/s}^2$ and using the formula, $Y = \dfrac{4MgL}{\pi D^2l},$ the maximum permissible error in $Y$ will be:
1. $7.96\%$
2. $4.56\%$
3. $6.50\%$
4. $8.42\%$

According to Joule's law of heating, heat produced H = I²Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is

1. ± 17%

2 ± 16%

3. ± 19%

4. ± 25%

If there is a positive error of $50\%$ in the measurement of the velocity of a body, then the error in the measurement of kinetic energy is:
1. $25\%$
2. $50\%$
3. $100\%$
4. $125\%$

A physical quantity $P$ is given by $P=\dfrac{A^3 B^{1/2}}{C^{-4}D^{3/2}}.$ The quantity which contributes the maximum percentage error in $P$ is:

If L = 2.331 cm, B = 2.1 cm, then L + B =?

1. 4.431 cm

2. 4.43 cm

3. 4.4 cm

4. 4 cm

If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm then the rod B is longer than rod A by 

1. 0.94 ± 0.00 cm

2. 0.94 ± 0.01 cm

3. 0.94 ± 0.02 cm

4. 0.94 ± 0.005 cm

A physical quantity is given by $X=M^a{L}^b{T}^c$. The percentage error in measurement of M, L and T are $\alpha ,\beta$ and $\gamma$ respectively. Then maximum percentage error in the quantity X is

1. $a\alpha +b\beta +c\gamma$

2. $a\alpha +b\beta -c\gamma$

3. $\frac{a}{\alpha }+\frac{b}{\beta }+\frac{c}{\gamma }$

4. None of these

A physical quantity $A$ is related to four observable quantities $a$, $b$, $c$ and $d$ as follows, $A= \frac{a^2b^3}{c\sqrt{d}},$ the percentage errors of measurement in $a$, $b$, $c$ and $d$ are $1\%$, $3\%$, $2\%$ and $2\%$ respectively. The percentage error in quantity $A$ will be: 
1. $12\%$
2. $7\%$
3. $5\%$
4. $14\%$