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A wire of resistance 3 ohm and length 10 cm is stretched to length 30 cm. Assuming that it has a uniform cross section, what will be its new resistance? - Physics

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Question

A wire of resistance 3 ohm and length 10 cm is stretched to length 30 cm. Assuming that it has a uniform cross section, what will be its new resistance?

Numerical
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Solution

Because three times the original length of the wire 10 cm is stretched to 30 cm

∴ Resistance becomes 9 times its resistance, i.e. 3 × 9 = 27 Ω

`"R"_1 = ρ 30/(a/3)`

= `9 [ρ 10/a]`   ...(i)

`"R"_2 = ρ 10/a` put in (i)

R1 = 9R

= 9 × 3

= 27 Ω

∴ R = 3 Ω

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Chapter 8: Current Electricity - EXERCISE - 8(A) [Page 187]

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Selina Physics [English] Class 10 ICSE
Chapter 8 Current Electricity
EXERCISE - 8(A) | Q 10. | Page 187
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