JEE Main
- Exam
- JEE Main
- Subject
- Physics
- Chapter
- Mechanical Properties of Solids
JEE Main · Physics · Mechanical Properties of Solids
A rubber cube of side 5 ~cm has one face fixed, while a tangential...
A rubber cube of side has one face fixed, while a tangential force is applied on its opposite face. If modulus of rigidity of rubber is , then the lateral displacement of the strained face is ________
Options
- A3 mm
- B5 mm
- C15 mm
- D1.5 mm
Correct answer
C. 15 mm
Step-by-step solution
Shear stress =Shear strain Modulus of rigidity, \eta=$\frac{\text { Shear stress }}{\text { Shear strain }}$2.4 $\times$10^6 $\frac{\mathrm{N}}{\mathrm{m}^2}=\frac{1800}{25 \times 10^{-4}} \times \frac{0.05}{x} \mathrm{~N}$/ $\mathrm{m}^2 or\begin{aligned}x \text{ and } =\frac{1800 \times 0.05}{25 \times 10^{-4} \times 2.4 \times 10^6}\\ \text{ and } =15 \times10^{-3} \mathrm{~m}\\ \text{ and } =15 \mathrm{~mm} \end{aligned}$$