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Q.A thin rod of length L has linear charge density λ = λ₀ (1 + x/L). The electric field at a point on the axis at distance a from the centre is

a
λ04πϵ0(1aL/21a+L/2)\dfrac{\lambda_0}{4\pi \epsilon_0} \left( \dfrac{1}{a - L/2} - \dfrac{1}{a + L/2} \right)
b
λ0L4πϵ0a(a+L)\dfrac{\lambda_0 L}{4\pi \epsilon_0 a (a + L)}
c
λ04πϵ0a\dfrac{\lambda_0}{4\pi \epsilon_0 a}
d
λ0(2a+L)4πϵ0a2\dfrac{\lambda_0 (2a + L)}{4\pi \epsilon_0 a^2}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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