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Chapter 1: Problem 85

What is the least count of screw gauge? (a) \(10^{-4} \mathrm{~m}\) (b) \(10^{-5} \mathrm{~m}\) (c) \(10^{-2} \mathrm{~m}\) (d) \(10^{-6} \mathrm{~m}\)

Short Answer

Expert verified
The least count of a screw gauge is (a) \(10^{-4} \mathrm{~m}\).

Step by step solution

01

Understanding a screw gauge

A screw gauge (also known as a micrometer screw gauge or micrometer) is a device that is used to measure the thickness or diameter of very small objects, such as wires and screws. It is a very precise instrument, with a least count much smaller than that of a ruler or vernier caliper.
02

Understanding the least count

The least count of a measuring instrument is the smallest length or value that the instrument can measure accurately. For a screw gauge, this is the smallest difference in length that can be measured using the device.
03

Comparing the given options

Now we will compare the given options to determine which one is the least count of a screw gauge. (a) \(10^{-4} \mathrm{~m}\) (b) \(10^{-5} \mathrm{~m}\) (c) \(10^{-2} \mathrm{~m}\) (d) \(10^{-6} \mathrm{~m}\) It is important to note that a screw gauge can measure lengths much smaller than those that can be measured using a ruler or vernier caliper. A typical least count of a screw gauge is around 0.001 mm or 0.0001 cm.
04

Selecting the correct option

Comparing the given options with the typical least count value of a screw gauge, we can see that option (a) \(10^{-4} \mathrm{~m}\) is the correct answer, as it is equivalent to 0.0001 cm or 0.001 mm. So, the least count of a screw gauge is (a) \(10^{-4} \mathrm{~m}\).

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Most popular questions from this chapter

If the centripetal force is of the form $\mathrm{m}^{\mathrm{a}} \mathrm{v} \mathrm{b}_{\mathrm{r}}^{\mathrm{c}}$ find the values of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) (a) \(1,2,1\) (b) \(1,2,-1\) \(\begin{array}{ll}\text { (c) } 1,3,-2 & \text { (d) }-1,3,-1\end{array}\)

From $\left[\mathrm{p}+\left(\mathrm{a} / \mathrm{v}^{2}\right)\right](\mathrm{v}-\mathrm{b})=$ constant equation is dimensionally correct find the dimensional formula for \(\mathrm{b}\) ? where \(\mathrm{P}=\) pressure \(\mathrm{V}=\) volume (a) \(\mathrm{M}^{0} \mathrm{~L}^{3} \mathrm{~T}^{0}\) (b) \(\mathrm{M}^{1} \mathrm{~L}^{3} \mathrm{~T}^{0}\) (c) \(\mathrm{M}^{0} \mathrm{~L}^{1} \mathrm{~T}^{3}\) (d) \(\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-1}\)

Which of the following symbol of unit does not follow practical norms for the use of SI system? (a) \(\mathrm{Kg}\) (b) \(\mathrm{kg}\). (c) \(\mathrm{k}\) (d) \(\mathrm{A}\)

For a sphere having volume is given by \(\mathrm{V}=(4 / 3) \pi \mathrm{r}^{3}\) What is the equation of the relative error \((\Delta \mathrm{V} / \mathrm{V})\) in measurement of the volume \(\mathrm{V}\) ? (a) \(3(\Delta \mathrm{r} / \mathrm{r})\) (b) \(4(\Delta \mathrm{r} / \mathrm{r})\) (c) \((4 / 3)(\Delta \mathrm{r} / \mathrm{r})\) (d) \((1 / 3)(\Delta \mathrm{r} / \mathrm{r})\)

\( 1 \mathrm{Mev}=\ldots \ldots \ldots \ldots \ldots\) (a) \(10^{7}\) (b) \(10^{4}\) (c) \(10^{5}\) (d) \(10^{6}\)
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