Question

Two rods of same material and same mass have different lengths. When they are heated

• A. Through same rise in temperature, longer rod expands more
• B. Through same rise in temperature, shorter rod expands more
• C. If same quantity of heat is supplied, longer rod expands more
• D. If same quantity of heat is supplied, shorter rod expands more

Answer 1

Answer: (A), (C)

Through same rise in temperature, longer rod expands more
If same quantity of heat is supplied, longer rod expands more

We know the expansion in length $\Delta L=L\alpha \Delta T$

So the expansion will be more for the rod having longer length for same rise in temperature.

If same quantity of heat supplied then the rise in temperature will be same in both the rod because mass and specific heat capacity is same for both the rod.

So the rod with longer length will expand more.