Expansion of Solids: Brass and Lead Rods at Different Temperatures

In summary, the question is asking for the separation of the free ends of a brass and lead rod after being clamped together at 0 degrees celsius and placed in a steam bath at 100 degrees celsius. Using the equation for thermal expansion, the answer is 0.8 mm.
  • #1
sudhamshu
2
0
Q 1. A brass rod and a lead rod each 80 cm long at 0 degree celsius are clamped together at one end with their free end coinciding. The separation of the free ends of the rod if the system is placed in a steam bath at 100 degree celsius is ( coefficient of linear expansion of lead = 28*10^-6/degree celsius, coefficent of linear expansion of brass
= 18 * 10^-6/degree celsius) :
a. 0.2 mm
b. 0.8 mm
c. 1.4 mm
d 1.6 mm

Kindly Answer the above with the explanation
Sudhamshu
 
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  • #2
Kindly show an effort, first. :smile:
 
  • #3
Show us your work and where you got stuck. What's the basic equation describing thermal expansion?
 
  • #4
is this the answer?

:smile:
0.8 because the formula is delta L=(alpha) (L initial)(delta Temp.)
 
Last edited:

What causes solids to expand?

The expansion of solids is caused by an increase in temperature. When solids are heated, the particles within the solid begin to vibrate more rapidly, causing the solid to expand.

Do all solids expand at the same rate?

No, the rate of expansion for solids varies depending on the material. Some materials, like metals, expand more than others when heated. This is due to differences in the atomic structure and bonding within the material.

Can solids also expand when cooled?

Yes, solids can also expand when cooled. This phenomenon is known as thermal expansion and occurs when the temperature of a solid decreases. As the particles within the solid slow down, the solid contracts and takes up less space.

How is the expansion of solids measured?

The expansion of solids is typically measured using a device called a dilatometer. This instrument is designed to measure the change in length, volume, or area of a solid as it is heated or cooled.

What are the practical applications of understanding the expansion of solids?

Understanding the expansion of solids is important in many engineering and construction applications. It allows for the design of structures and machines that can withstand changes in temperature without being damaged. It is also used in the creation of precise measuring instruments, such as thermometers and thermostats.

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