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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?

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प्रश्न

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?

संख्यात्मक
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उत्तर

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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अध्याय 8: Current Electricity - EXERCISE - 8(A) [पृष्ठ १८७]

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सेलिना Physics [English] Class 10 ICSE
अध्याय 8 Current Electricity
EXERCISE - 8(A) | Q 10. | पृष्ठ १८७

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