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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Current Electricity

BITSAT 2021 · Physics · Current Electricity

A wire of a certain material is stretched slowly by ten per cent....

A wire of a certain material is stretched slowly by ten per cent. Its new resistance and specific resistance become respectively:

Options

  1. A1.21.2 times, 1.31.3 times
  2. B1.211.21 times, same
  3. Cboth remain the same
  4. D1.11.1 times, 1.11.1 times

Correct answer

B. 1.211.21 times, same

Step-by-step solution

(R=ρlA\mathrm{R}=\frac{\rho \mathrm{l}}{\mathrm{A}}) Now, (1=1+110=11110\frac{1}{10}=\frac{111}{10}) and therefore, (A=10 A11\mathrm{A}=\frac{10 \mathrm{~A}}{11}) So (\mathrm{R}^{\prime}=p×(11110)10 A11=ρlA×(11)2(10)2=\frac{\mathrm{p} \times\left(\frac{111}{10}\right)}{\frac{10 \mathrm{~A}}{11}}=\frac{\rho \mathrm{l}}{\mathrm{A}} \times \frac{(11)^{2}}{(10)^{2}}=1.21 R\mathrm{R}) Now resistance becomes 1.211.21 times of initial and specific resistance is the intrinsic property so remains same.
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