The radius of a sphere is $(5.3 \pm 0.1) \,cm$. The percentage error in its volume is

  • A

    $\frac{{0.1}}{{5.3}} \times 100$

  • B

    $3 \times \frac{{0.1}}{{5.3}} \times 100$

  • C

    $\frac{{0.1 \times 100}}{{3.53}}$

  • D

    $3 + \frac{{0.1}}{{5.3}} \times 100$

Similar Questions

An optical bench has $1.5 m$ long scale having four equal divisions in each $cm$. While measuring the focal length of a convex lens, the lens is kept at $75 cm$ mark of the scale and the object pin is kept at $45 cm$ mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at $135 cm$ mark. In this experiment, the percentage error in the measurement of the focal length of the lens is. . . . .

  • [IIT 2019]

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are $3\%$ each, then error in the value of resistance of the wire is ........ $\%$

  • [AIEEE 2012]

The internal and external radii of a hollow cylinder are measured with the help of a vernier callipers.Their values are $(4.23 \pm 0.01)\,\,cm$ and $(3.87 \pm 0.01)\,\,cm,$ respectively. The thickness of the wall of the cylinder is

Out of absolute error, relative error and fractional error which has unit and which has no unit ?

What is least count ? What is called least count error ?