Question

# A rod is acted by two equal forces as shown in figure , The coefficient of thermal expansion of the rod is α and area of cross section is A . When the temperature the rod increased by Δt . The length of the rod does not change . The young's modulus Y will be

A
F2AαΔT
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
FAαΔT
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2FAαΔT
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
F3AαΔT
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B FAαΔTα= coefficent of thermal expansion A a srea of cross section ΔT= temperature increase tength doesnot chonge → Which mean, when we increase temperature there.will be expansion and due to Force applied there will be compression, as length remaing same which mean (increase in length) = (decrease in length) due to rise in temp. (ΔL)due to temp =LαΔT Now y=FLAΔL(ΔL) due to Force =FLyA (i) =(i)LαΔT=FLyAy=FKKαΔTA y=FαΔTA

Suggest Corrections
0
Related Videos
Thermal Expansion
PHYSICS
Watch in App
Explore more