A potential V₀ is applied across a uniform wire of resistance R. The power dissipation is P₁. The wire is then cut into two equal halves and a potential of V₀ is applied across the length of each half. The total power dissipation across two wires is P₂. The ratio P₂: P₁ is √(x): 1. The value of x is _ _ _ _ _ _.

Current Electricity: JEE Main 2023 Physics question

JEE Main 2023 · 13 Apr, Morning shift · Q56

JEE Main 202313 Apr, Morning shiftPhysicsHardCurrent Electricity150× since 2002

A potential

\mathrm{V}_{0}

is applied across a uniform wire of resistance

R

. The power dissipation is

P_{1}

. The wire is then cut into two equal halves and a potential of

V_{0}

is applied across the length of each half. The total power dissipation across two wires is

P_{2}

. The ratio

P_{2}: \mathrm{P}_{1}

\sqrt{x}: 1

. The value of

x

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Current Electricity Question with Answer (13 Apr Morning shift, Q56) | JEE Arc