JEE Main & Advanced
Physics
Wave Mechanics
Question Bank
Self Evaluation Test - Mechanical Properties of Solids
question_answer
A beam of metal supported at the two edges is loaded at the centre. The depression at the centre is proportional to
A) \[{{Y}^{2}}\]
B)Y
C)1/Y
D)\[1/{{Y}^{2}}\]
Correct Answer:
C
Solution :
[c] For a beam, the depression at the centre is given by, \[\delta =\left( \frac{fL}{4Yb{{d}^{3}}} \right)\] [f, L, b, d are constants for a particular beam] i.e. \[\delta \propto \frac{1}{Y}\]