Measurement of Depression with Spherometer Quiz

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Questions and Answers

What is the least count of the Vernier calipers if the value of one division on the main scale is 0.1 cm?

0.5 cm

0.01 cm

0.05 cm (correct)

0.1 cm

If the zero error in the Vernier calipers is 0.02 cm, what is the true value when a measurement shows 2.5 cm?

2.48 cm

2.45 cm

2.52 cm (correct)

2.5 cm

When taking measurements with a spherometer, what does the slope of the mass-depression graph represent?

Value of Y

Length of the beam

Value of tanθ (correct)

Young modulus of material of beam

In the context of spherometer readings, what does 'M=1500gm' represent?

'M' is the mass for which depression (δ) is being measured Signup and view all the answers

What is the correct procedure to find the final value of Young modulus using spherometer readings?

Calculate Y for each load, take mean, and determine Young modulus Signup and view all the answers

If the uncorrected diameter is 3.4 cm and the zero error in the screw gauge is 0.02 cm, what should be recorded as the corrected diameter?

$3.42$ cm Signup and view all the answers

What is the purpose of rotating the spherometer in the opposite direction until the bulb just becomes off?

To provide the value of depression for a specific mass at load decreasing case Signup and view all the answers

What does taking the mean of spherometer readings for load increasing and decreasing for each mass help in determining?

Relative depression for each mass with respect to zero mass Signup and view all the answers

What is calculated by finding the difference of mean spherometer reading of each mass with zero mass reading?

Relative depression for each mass with respect to zero mass Signup and view all the answers

What is determined by finding the depression for 1500gm using the differences among 1st& 4th, 2nd&5th, and 3rd and 6th?

Depression for 1500gm Signup and view all the answers

What information is obtained by noting the spherometer readings at the situation when the bulb glows with different masses?

Depressions at different masses Signup and view all the answers

Why is it important to increase the mass on the hanger in intervals up to 2500gm and note the spherometer readings?

To obtain depressions at different masses Signup and view all the answers

What is the purpose of using a spherometer in this experiment?

To determine the depression of the beam in the middle Signup and view all the answers

In this experiment, what does the value 'd' represent?

Thickness of the beam Signup and view all the answers

Which instrument is primarily used to measure the breadth of the beam?

Vernier calipers Signup and view all the answers

What is important to determine before using Vernier calipers for measurements in this experiment?

The least count and zero error of Vernier calipers Signup and view all the answers

What does the spherometer reading indicate in this experiment?

Beam's depression under load Signup and view all the answers

How do you determine mass depression using a spherometer in this experiment?

By rotating the spherometer until it touches the beam Signup and view all the answers

Study Notes

Determination of Young's Modulus of a Beam

The objective of the experiment is to determine the Young's modulus of the material of a given beam supported on two knife edges and loaded at the middle point.

Apparatus Used

Two parallel knife edges on which the beam is placed
A hook to suspend weights
A meter scale
Spherometer
500gm weights
D.C. source
Bulb or galvanometer
Wires
Screw gauge
Vernier calipers
Meter scale

Formula

Young's modulus (Y) is given by the formula: Y = (Mgl) / (3bdδ)
Where M = load suspended from the beam, g = acceleration due to gravity, l = length of the beam between the two knife edges, b = breadth of the beam, and δ = depression of the beam in the middle, d = thickness of the beam

Procedure

Measure the length of the beam between the two knife edges using a meter scale
Find the least count of screw gauge and zero error in it
Measure the thickness of the beam using screw gauge
Find the least count and zero error of Vernier calipers
Measure the breadth of the beam using Vernier calipers
Find the least count of spherometer
Suspend the hanger with a graduated scale attached to it, on the mid-point of the beam
Rotate the spherometer and note its reading when the bulb glows
Increase the mass on the hanger in intervals of 500gm and note the spherometer readings at the situation of bulb glow
Decrease the load in steps of 500gm and note the spherometer readings at the situation of bulb just off
Calculate the mean of spherometer readings for load increasing and decreasing for each mass
Calculate the difference of mean spherometer reading of each mass with zero mass reading to get the relative depression
Calculate the value of Y using the formula

Calculation of Y

Calculate the value of Y using the formula Y = (Mgl) / (3bdδ)
Put all the values in the formula and calculate the value of Y
Take the mean of both calculated values of Y to get the final value of Young's modulus

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Description

Test your knowledge on measuring depression using a spherometer by answering questions related to taking readings for different masses applied on a hanger and the corresponding spherometer readings when the bulb just glows.