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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Current Electricity

NEET 2013 · Physics · Current Electricity

Two rods are joined to end, as shown. Both have a cross sectional...

Two rods are joined to end, as shown. Both have a cross sectional area of 0.01 cm2\mathrm{cm}^2. Each is 1 meter long. One rod is of copper with a resistivity of 17×10−617 \times 10^{-6} ohm-centimeter, the other is of iron with a resistivity of 10−5ohm10^{-5} \mathrm{ohm} centimeter. How much voltage is required to produce a current of 1 ampere in the rods? Two rods are joined to end, as shown. Both have a cross sectional area of 0.01 cm^2 . Each is 1 meter long. One rod is

Options

  1. A0.00145 V0.00145 \mathrm{~V}
  2. B0.0145 V0.0145 \mathrm{~V}
  3. C1.7×10−6 V1.7 \times 10^{-6} \mathrm{~V}
  4. D0.117 V0.117 \mathrm{~V}

Correct answer

D. 0.117 V0.117 \mathrm{~V}

Step-by-step solution

According to the question Length of each rod⁡l=1 m\operatorname{rod} l=1 \mathrm{~m} Area of cross-section of cach rod A=0.01 cm2=0.01×10−4 m2∴\mathrm{A}=0.01 \mathrm{~cm}^2=0.01 \times 10^{-4} \mathrm{~m}^2\therefore If ρcu=\rho_{c u}= resistivity of copper and ρCW\rho_{C W} is resistivity of iron then Two rods are joined to end, as shown. Both have a cross sectional area of 0.01 cm^2 . Each is 1 meter long. One rod is ρcu=1.7×10−6Ωcm=1.7×10−8Ωρfe=10−5Ωcm=10−7Ω\begin{aligned} & \rho_{c u}=1.7 \times 10^{-6} \Omega \mathrm{cm}=1.7 \times 10^{-8} \Omega \\ & \rho_{f e}=10^{-5} \Omega \mathrm{cm}=10^{-7} \Omega \end{aligned} New Resistance of Cu\mathrm{Cu} rod =Rcu==\mathrm{R}_{c u}=ρcu1 A and  Resistance of iron rod ρfe=ρfe1 A\begin{aligned} & \rho_{c u} \frac{1}{\mathrm{~A}} \\ & \text{\text{ and } Resistance of iron rod } \\ & \rho_{f e}=\rho_{f e} \frac{1}{\mathrm{~A}} \end{aligned}BothareconnectedinseriesthenequivalentresistanceisBoth are connected in series then equivalent resistance is\begin{aligned} R_{e s}=R_{c e}+R_{F e} & =\rho_{c u} \frac{l}{\mathrm{~A}}+\rho_{f e} \frac{l}{\mathrm{~A}}=\frac{l}{\mathrm{~A}} \\ \left(\rho_{c u}+\rho_{f e}\right) & \\ V & =I R \quad\{\text{ where } \mathrm{I}=1 \mathrm{~A}\} \\ & =I\left(R_{c u}+R_{f e}\right) \\ & =1\left(\rho_{c u}+\rho_{f e}\right) \\ & =\left(\rho_{c u}+\rho_{f e}\right)\left(\frac{1}{\mathrm{~A}}\right) \\ & =\left(1.7 \times 10^{-8}+10^{-7}\right) \\ & =10^{-7}(0.17+1)\left(10^6\right) \\ & =1.17 \times 10^{-1} \mathrm{~V} \\ & =0.117 \mathrm{~V} \end{aligned}$$
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