Answer
Verified
387.3k+ views
Hint: Vernier is a device for measuring small lengths accurately, correct upto a fraction of a millimeter. The vernier calipers consist of a main scale and a sub scale called vernier scale. For this first find the least count of the vernier calipers. Where least count is the measure of ratio of one main scale division to number of divisions on the vernier. Then find the diameter of the given cylinder.
Formula used:
Diameter = Main scale reading + (Least count $\times $ Vernier Scale Reading) + Zero error
Complete answer:
Least count of a vernier is given by,
$L.C=\dfrac{1M.S.D}{n}$
where, M.S.D is the main scale division.
n is the total number of divisions on vernier scale
One main scale division, = 0.05cm
$n=50$
Thus least count is given by,
$L.C=\dfrac{0.05}{50}=0.001cm$
Main scale reading is between the measure 5.10 and 5.15.
Hence,
Diameter = Main scale reading + (Least count $\times $ Vernier Scale Reading) + Zero error
Diameter = 5.10+24$\times 0.001$ = 5.124cm
Thus option(B) is correct.
Additional information:
Uses of vernier:
(1) To measure length of small objects.
(2) To measure the internal diameter of the beaker.
(3) To determine surface area and volume of sphere.
Note:
Vernier is a device for measuring small lengths accurately, correct upto a fraction of a millimeter. On bringing the jaws of vernier calipers in contact with each other, sometimes the zero of the vernier scale may not coincide with the zero of the main scale. Then the vernier calipers are said to possess zero error. In that case we have to add zero error with the measured value.
Formula used:
Diameter = Main scale reading + (Least count $\times $ Vernier Scale Reading) + Zero error
Complete answer:
Least count of a vernier is given by,
$L.C=\dfrac{1M.S.D}{n}$
where, M.S.D is the main scale division.
n is the total number of divisions on vernier scale
One main scale division, = 0.05cm
$n=50$
Thus least count is given by,
$L.C=\dfrac{0.05}{50}=0.001cm$
Main scale reading is between the measure 5.10 and 5.15.
Hence,
Diameter = Main scale reading + (Least count $\times $ Vernier Scale Reading) + Zero error
Diameter = 5.10+24$\times 0.001$ = 5.124cm
Thus option(B) is correct.
Additional information:
Uses of vernier:
(1) To measure length of small objects.
(2) To measure the internal diameter of the beaker.
(3) To determine surface area and volume of sphere.
Note:
Vernier is a device for measuring small lengths accurately, correct upto a fraction of a millimeter. On bringing the jaws of vernier calipers in contact with each other, sometimes the zero of the vernier scale may not coincide with the zero of the main scale. Then the vernier calipers are said to possess zero error. In that case we have to add zero error with the measured value.
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
What is the stopping potential when the metal with class 12 physics JEE_Main
The momentum of a photon is 2 times 10 16gm cmsec Its class 12 physics JEE_Main
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE