Express 1000 with one significant figure.

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 g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are ${e_1}$ and ${e_2}$ respectively, the percentage error in the estimation of g is

The sides of a rectangle are 6.01 m and 12m. taking the significant figures into account, the area of the rectangle is

Read the following statements and Identify the correct statement/s. A: A choice of change of different units change the number of significant digits. B: To remove ambiguities in determining the number of significant figures, the best way is to report the measurement in scientific notation. C: Solid angle made by a hemisphere at its centre is $2\pi$ steradian.

The radius of spherical ball is $\left( {10.4 \pm 0.4} \right)cm$. Select the correct alternative

Two students, A and B, measure the length of a table. Student A reports the length as $2.350 \pm 0.001$ m, and student B reports it as $2.35 \pm 0.01$ m. Which student's measurement is more precise, and what is the relative uncertainty in the more precise measurement?

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

The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is $5.00 \pm 0.05$ newton and weight in water is $\left( {4.00 \pm 0.05} \right)\;newton\;.$ Then the relative density along with the maximum permissible percentage error is

According to Joule' s law of heating, heat produced $H = {I^2}Rt,$ 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

A physical quantity A is related to four observables a,b,c and d as follows $\;A = \frac{{{a^2}{b^3}}}{{c\sqrt d }}$ The percentage errors of measurement in a,b,c and d are 1%, 3%, 2% and 2% respectively. What is the percentage error in the quantity A?

The least count of a stop watch is 0.2 s. The time of 20 oscillations of a pendulum is measured to be 25 s. The percentage error in the measurement of time will be