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JEE Advanced 2014Paper 1
Exam
JEE Advanced
Year
2014
Paper
Paper 1
Subject
Physics
Chapter
Experimental Physics

JEE Advanced 2014 · Paper 1 · Physics · Experimental Physics

During Searle's experiment, zero of the Vernier scale lies between...

During Searle's experiment, zero of the Vernier scale lies between 3.20×10−2m3.20 \times {10}^{- 2}m and 3.25×10−2m3.25 \times {10}^{- 2}m of the main scale. The 20th{20}^{th} division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between 3.20×10−2m3.20 \times {10}^{- 2}m and 3.25×10−2m3.25 \times {10}^{- 2}m of the main scale but now the 45th{45}^{th} division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is 8×10−7m28 \times {10}^{- 7}{m}^{2} . The least count of the Vernier scale is 1.0×10−5m1.0 \times {10}^{- 5}m . The maximum percentage error in the Young's modulus of the wire is

Correct answer

4

Step-by-step solution

Y=FLlAY = \dfrac{FL}{lA} since the experiment measures only change in the length of wire
∴∆YY×100=∆ll×100∴ \dfrac{∆ Y}{Y} \times 100 = \dfrac{∆ l}{l} \times 100
From the observation l1=MSR+20{l}_{1} = MSR + 20\left(LC\right)<br><br >{l}_{2} = MSR + 45(LC)\left(LC\right)
⇒⇒ change in lengths =25= 25\left(LC\right)<br>andthemaximumpermissibleerrorinelongationisoneLC<br><br >and the maximum permissible error in elongation is one LC<br >∴ \dfrac{∆ Y}{Y} \times 100 = \dfrac{\left(LC\right)}{25\left(LC\right)} \times 100 = 4
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