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The resistance of a metal wire is given by R=V/ I where v is the potential difference and I is the current. In a circuit, the potential difference across resistance is/ where v is the potential difference and I is V=(8±0⋅5) volt and current in circuit I=(4±0⋅2)amp. what is the value of resistance with its percentage error?

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a

(2±0⋅7%) ohm

b

(2±3⋅5%) ohm

c

(2±11⋅25%) ohm

d

(2±5⋅6%)ohm

answer is C.

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Detailed Solution

R=V/IOr ΔRR=ΔVV+ΔIIOr ΔRR=0⋅58+0⋅24100%=11⋅25%

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The resistance of a metal wire is given by R=V/ I where v is the potential difference and I is the current. In a circuit, the potential difference across resistance is/ where v is the potential difference and I is V=(8±0⋅5) volt and current in circuit I=(4±0⋅2)amp. what is the value of resistance with its percentage error?