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Question

Two wire A and B have equal lengths and are made of the same material, but the diameter of A is twice that of wire :

A
Youngs modulus of A is twice that of B
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B
Youngs modulus is the same for both A and B
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C
A can withstand a greater load before breaking than B
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D
A and B will withstand the same load before breaking
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Solution

The correct options are
B Youngs modulus is the same for both A and B
C A can withstand a greater load before breaking than B
Since, wires A and B are made of the same material they have the same Youngs modulus. Now, (breaking load = breaking stress* cross sectional area).The wire having the greater area of cross section can with stand the greater load. Hence, the correct options are (b) and (c).

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