MHT CET · Physics · Mechanical Properties of Solids
Two wires \(A\) and \(B\) are stretched by the same load. The radius of wire \(A\) is double the radius of wire \(\mathrm{B}\). The stress on the wire \(\mathrm{B}\) as compared to the stress on the wire A is
- A twice
- B four times
- C half
- D equal
Answer & Solution
Correct Answer
(B) four times
Step-by-step Solution
Detailed explanation
(B)
stress \(=\frac{\text { Force }}{\text { Area }}\)
\(\therefore\) stress \(\propto \frac{1}{\pi r^{2}}\)
Thus, \(\frac{S_{B}}{S_{A}}=\left[\frac{r_{A}}{r_{B}}\right]^{2}=(2)^{2} \Rightarrow S_{B}=4 S_{A}\)
stress \(=\frac{\text { Force }}{\text { Area }}\)
\(\therefore\) stress \(\propto \frac{1}{\pi r^{2}}\)
Thus, \(\frac{S_{B}}{S_{A}}=\left[\frac{r_{A}}{r_{B}}\right]^{2}=(2)^{2} \Rightarrow S_{B}=4 S_{A}\)
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