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Properties of Matter question

2015 · Q145
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Properties of Matter question

2015 · Q145

NEETPhysicsProperties of MatterMCQ+4 / −1
The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of
  1. A
    4 : 1
  2. B
    1 : 1
  3. C
    1 : 2
  4. D
    2 : 1
View written solutionFree

Correct answer: D

AIPMT 2015 Physics - Properties of Matter Question 66 English Explanation


Young's modulus Y=WA.lΔlY = {W \over A}.{l \over {\Delta l}}Y=AW​.Δll​

W1Y1=W2Y2{{{W_1}} \over {{Y_1}}} = {{{W_2}} \over {{Y_2}}}Y1​W1​​=Y2​W2​​
[∵A,l,Δl\because A,l,\Delta l∵A,l,Δl same for both brass and steel]

W1W2=Y1Y2=2{{{W_1}} \over {{W_2}}} = {{{Y_1}} \over {{Y_2}}} = 2W2​W1​​=Y2​Y1​​=2
  [YsteelYbrass=2 given]\left[ {{{{Y_{steel}}} \over {{Y_{brass}}}} = 2\,given} \right][Ybrass​Ysteel​​=2given]

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