Question

An angle measuring instrument reading upto one sixth of degree on the main scale is equipped with a vernier having 19 main scale divisions divided into 20 parts the correct least count for the instrument in seconds is

Answer 1

Answer:

the correct least count for the instrument is 30 seconds

Explanation:

As we know that the least count of a scale is given by the formula

$LC = \frac{x - y}{x} MS$

here we know that

$x = 20$

$y = 19$

MS = least value measured by main scale

$MS = \frac{1}{6} degree$

now we will have

$LC = \frac{20 - 19}{20}(\frac{1}{6})$

$LC = \frac{1}{120} degree$

$1 degree = 60 minutes$

$1 minute = 60 second$

so we will have

$LC = \frac{1}{120} (60 \times 60)$

$LC = 30"$

#Learn

Topic : Measurement

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