Elastic Moduli

To determine the diameter of the wire, we need to understand the readings given by the screw gauge:

The screw gauge uses two scales: the main scale and the circular scale.

The given data is:

Main scale reading: $0%5C%2C%20%5Ctext%7Bmm%7D$
Circular scale reading: $52$ divisions

According to the question, $1%5C%2C%20%5Ctext%7Bmm%7D$ on the main scale corresponds to $100$ divisions on the circular scale. Therefore, each division on the circular scale corresponds to:

$%5Cfrac%7B1%7D%7B100%7D%5C%2C%20%5Ctext%7Bmm%7D%20%3D%200.01%5C%2C%20%5Ctext%7Bmm%7D$

Given the circular scale reading is $52$ divisions, the value it represents in millimeters is:

$52%20%5Ctimes%200.01%5C%2C%20%5Ctext%7Bmm%7D%20%3D%200.52%5C%2C%20%5Ctext%7Bmm%7D$

Since the main scale reading is $0%5C%2C%20%5Ctext%7Bmm%7D$ , the total reading (which is the diameter of the wire) is solely due to the circular scale:

$0%20%2B%200.52%5C%2C%20%5Ctext%7Bmm%7D%20%3D%200.52%5C%2C%20%5Ctext%7Bmm%7D$

Converting $0.52%5C%2C%20%5Ctext%7Bmm%7D$ to centimeters (since the options are in cm):

$0.52%5C%2C%20%5Ctext%7Bmm%7D%20%3D%200.052%5C%2C%20%5Ctext%7Bcm%7D$

Therefore, the diameter of the wire is $0.052%5C%2C%20%5Ctext%7Bcm%7D$ .

Thus, the correct answer is 0.052 cm.

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Elastic Moduli

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs