Every question from past board papers on Least count, significant figures and errors in measurement, newest paper first. Open any question for its full worked answer.
A physical quantity \(P\) is related to four observations \(a\), \(b\), \(c\) and \(d\) as follows:
\(P = a^3b^2 / c\sqrt{d}\)
The percentage errors of measurement in \(a\), \(b\), \(c\) and \(d\) are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity \(P\) is
A metal wire has mass \((0.4\pm0.002)\) g, radius \((0.3\pm0.001)\) mm and length \((5\pm0.02)\) cm. The maximum possible percentage error in the measurement of density will nearly be:
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :
The area of a rectangular field (in \(\text{m}^2\)) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is :
Taking into account of the significant figures, what is the value of 9.99 m \(-\) 0.0099 m ?
In an experiment, the percentage of error occurred 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 X, where \(X = \frac{A^2 B^{1/2}}{C^{1/3} D^3}\), will be :
