13. The maximum load that a wire can bear is W. If the wire is cut to half of its length then the maximum load it can sustain is (1) {W}{4} (2) {W}{3} (3) {W}{2} (4) WSee answer

Daftar Isi

13 The maximum load that a wire can bear is W If the wire is cut to half of its length then the maximum load it can sustain is 1 W4 2 W3 3 W2 4 W

Question

13. The maximum load that a wire can bear is W. If the wire is cut to half of its length then the maximum load it can sustain is
(1) \frac{W}{4}
(2) \frac{W}{3}
(3) \frac{W}{2}
(4) W

Basic Answer

Correct Answer:

(4) W

Analyzing the Answer：

The maximum load a wire can bear depends on its cross-sectional area and the material’s tensile strength. Cutting the wire in half doesn’t change its cross-sectional area or material properties. Therefore, the maximum load it can sustain remains the same, which is W.

Analysis of other options：

(1) $\frac{W}{4}$: Incorrect. This would be true if both the length and cross-sectional area were halved.
(2) $\frac{W}{3}$: Incorrect. There’s no physical basis for this fraction.
(3) $\frac{W}{2}$: Incorrect. This would imply a linear relationship between length and load-bearing capacity, which is not the case for a wire’s tensile strength.