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Vernier Caliper Experiment with Readings (Class 11)

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Vernier Caliper Experiment for Class 11 with Readings


EXPERIMENT - 1, VERNIER CALIPERS - I

Aim:


i. To find the volume of the sphere by measuring its diameter.

ii. To determine the internal diameter, depth and volume of a calorimeter.


Apparatus:


Vernier calipers, Calorimeter, Given sphere etc. The vernier calipers consist of a main scale and a sub scale called vernier scale. The main scale is graduated in cm with a fixed jaw A at one end. A movable jaw B, provided with a vernier scale, slides over the main scale. This can be fixed at any point. When the jaws are in contact, the zero of the vernier coincides with the zero of the main scale. The jaws are provided with extensions C and D which are used in the measurement of inner diameter.


Principle


i. Least count of the Vernier = Mamitude of one main scale division / No. of divisions on the vernier scale

ii. Total reading = M.S.R. + (V.S.R. x LC.)

where,

M.S.R. = Main Scale Reading

V.S.R. = Vernier Scale Reading

L.C. = Least Count

iii. Volume of the sphere V= 4/3 πr3 where, r = Radius of the sphere

iv. Volume of the calorimeter V= πR2h

where, R = Internal radius of the calorimeter

h = Depth of the calorimeter


Procedure


The least count of the vernier calipers is determined by noting the magnitude of one main scale division and number of divisions on the vernier scale.

L.C. = 1 msd / n

 

i. To find the volume of the sphere


To measure the diameter of the sphere, it is gripped between the jaws A and B. The main scale reading (M.S.R), just before the zero of the vernier and the vernier scale reading (V.S.R.), coinciding with any of the main scale reading are noted. Diameter of the sphere = M.S.R. + ( V.S R. x LC). This procedure is repeated by changing the position of the sphere and the mean diameter (d) of the sphere is determined. Hence the volume of the sphere can be calculated.


ii. To find the volume of the calorimeter


To find the volume of the calorimeter, the vertical projections of the jaws C and D are put inside the calorimeter. Open the jams till they are held tight between the walls of the calorimeter. The M.S.R. and V.S.R. are noted as mentioned above and the inner diameter is determined. The strip (T) attached on the backside of the vernier is pushed out. Keep the right edge of the main scale strip on the upper edge of the calorimeter. Make the tip of the strip touching the bottom of the calorimeter. The M.S.R. and V.S.R. we noted as mentioned above and the depth is determined. Hence the volume of the calorimeter can be calculated.

The calorimeter is filled with water. This water is poured into a graduated measuring jar and the volume is measured. This volume is compared with calculated volume.

 

Observation Table and Readings:


Magnitude of one main scale division, 1 msd = 0.1 cm

Number of divisions on the vernier, n = 10

Least count (L.C.) = 1 msd/n = 0.04 cm

 

i. To find the volume of the sphere

Radius of the sphere, r = d/2 = 0.985 cm

Therefore, Volume of the sphere = V= 4/3 πr3 = 4 x 10-6 m3

 

ii. To find the volume of the calorimeter

Internal radius of the calorimeter, R = D/2 = 2.48 cm2.48 x 10-2 

Depth of the calorimeter, h = 7.54 cm = 7.54 x 10-2 m

Internal volume of the calorimeter = πR2h = 1.45 x 10-4 m3

 

Results


i. Volume of the sphere = 4 x 10-6 m3

ii. Internal volume of the calorimeter

a. with vernier calipers = 1.45 x 10-4 m3

 

EXPERIMENT - 2, VERNIER CALIPERS - II


Aim:


i. To find the volume of the cylinder by measuring its length and diameter.

ii. To determine the volume of the given rectangular block by measuring its dimensions and verify the result using a measuring jar


Apparatus:


Vernier calipers, The given cylinder, Metallic block, Measuring jar, Water etc.

The vernier calipers consists of a main ale and a sub scale called vernier scale. The main scale is graduated in mm. with a fixed jaw A in one end. A movable jaw B, provided with a vernier scale, slides over the main scale. This can be fixed at any point. When the jaws are in contact, the zero of the vernier coincides with the zero of the main scale. The jaws are provided with extensions C and D which are used in the measurement of inner diameter.


Principle:


i. Least count = Magnitude of one main scale division/No. of divisions on the vernier scale

ii. Total reading = M.S.R + (V.S.R. x L.C.)

where,

M.S.R = Main Scale Reading

V.S.R = Vernier Scale Reading

L.C = Least Count

iii. Volume of the cylinder, V = πr2L

where, r = Radius of the cylinder

L = Length of the cylinder

iv. Volume of the rectangular block V = l.b.t

where,

l = Length of the rectangular block

b = Breath of the rectangular block

t = Thickness of the rectangular block


Procedure:


The least count of the vernier calipers is determined by noting the magnitude of one main scale division and number of divisions on the vernier scale,

L.C = 1 msd/n


i. To find the volume of the cylinder:


To measure the length of the cylinder, it is gripped lengthwise between the jaws A and B. The main scale reading (M.S.R.), just before the zero of the vernier and the vernier scale reading (V.S.R) coinciding with any of the main scale reading are noted. The length of the cylinder = M.S.R. + (V.S.R. x LC.). This procedure is repeated by changing the position of the cylinder. In the similar way the diameter of the cylinder is determined. Half of the diameter gives the radius (r). The volume of the cylinder can be found using the formula given ab6ve.


ii. To find the volume of the rectangular block


The length (l), breadth (b) and thickness (t) of the rectangular block are determined as in the above measurement.

Using a measuring jar, volume of the rectangular block can be found. The given measuring jar is half filled with water. The reading of water level is taken as V. The block whose volume is to be determined is gently immersed into the water in the jar. The new water level is taken as V2. Then the volume of the block = V2 —V1

 

Observation Table and Readings


Magnitude of one main scale division, 1 msd = 0.1 cm

Number of divisions on the vernier, n = 10

Least count (L.C.) = 1 msd/n = 0.01 cm

 

i. To find the volume of the cylinder

Diameter of the cylinder, d = 1.015 cm

Radius of the cylinder, r = d/2 = 0.5075 cm

Length of the cylinder, L = 3.85 cm

Therefore Volume of the cylinder = πr2L = 3.11 x 10-m3

 

ii. To find the volume of the rectangular block

Length of the rectangular block, (l) = 1.85 cm

Breadth of the rectangular block, (b) = 1.85 cm

Thickness of the rectangular block, (t) = 1.85 cm

Therefore, Volume of the rectangular block, (v) = lbt = 6.33 x 10-6 m3

Mass of the given block, M = ………..kg

Density, D = M/V = ………kgm-3

 

Measuring jar readings:

 

Initial water level reading on the measuring jar, V1 = 41 cc

Final water level reading on the measuring jar, V2 = 48 cc

Therefore Volume of the block = V2 – V1 = 7 cc7 x 10-6 m3

 

Results


i. Volume of the cylinder = 3.11 x 10-m3

ii. Volume of the rectangular block

a. with vernier calipers = 6.33 x 10-6  m3

b. with measuring jar = 7 x 10-6 m3

iii. Density of the rectangular block =  ……….. kgm-3

 

MODEL VIVA VOCE QUESTIONS AND ANSWERS

 

1. What is vernier? Why is it so named?


Vernier is a device for measuring small lengths accurately, correct upto a fraction of a millimetre. It is so named as it was devised by a French Mathematician, Paul Vernier.


2. State three uses of a vernier calipers.


(i) To measure length of small object

(ii) To measure internal diameter of beaker.

(iii) To determine surface area and volume of sphere.


3. Name the instrument you could use for the measurement of internal and external diameter of a beaker.


Vernier calipers.


4. What is meant by least count of a measuring instrument?


The smallest value of physical quantity which can he measured accurately by the instrument.


5. What is a vernier constant?


It is the difference between a main scale division and a vernier scale division.


6. What is meant by zero error of vernier calipers?


On bringing the jaws of vernier calipers in contact with each other, some times the zero of the vernier scale may not coincide with the zero of the main scale. Thus the vernier calipers is said to possess zero error.


7. How does zero error creep in this instrument?


It is due to (i) wear and tear on account of the long use of the instrument, (ii) manufacturing defect.


8. What is the function of the upper jaws of the vernier calipers?


The function of the upper jaws of the vernier calipers is to measure the internal dimensions of hollow objects.

PN Junction Thermometer

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Investigatory Project on PN Junction Thermometer

 

Aim: To construct a thermometer using semiconductor diode, calibrate it and to measure the unknown temperature of a bath.

 

Materials and Apparatus

 

(i) A germanium diode (OA 79, DR 25 or DS 10)

(ii) High resistance rheostat

(iii) 0 – 100 microammeter

(iv) Dry cell (9V)

(v) Oil bath (a tumbler and oil)

(vi) Thermometer etc.