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PhysicsJEE Main 21 Jan 2026, Shift 2·Q12·MCQ·Easy–moderate

Units and Measurements · Significant figures & errors

A spherical body of radius r and density σ\sigma falls freely through a viscous liquid having density ρ\rho and viscosity η\eta and attains a terminal velocity v0v_0. Estimated maximum error in the quantity η\eta is : (Ignore errors associated with σ\sigma, ρ\rho and g, gravitational acceleration)
  1. (1)2Δrr−Δv0v02\dfrac{\Delta r}{r} - \dfrac{\Delta v_0}{v_0}
  2. (2)2Δrr+Δv0v0\dfrac{2\Delta r}{r} + \dfrac{\Delta v_0}{v_0}
  3. (3)2[Δrr+Δv0v0]2\left[\dfrac{\Delta r}{r} + \dfrac{\Delta v_0}{v_0}\right]
  4. (4)2[Δrr−Δv0v0]2\left[\dfrac{\Delta r}{r} - \dfrac{\Delta v_0}{v_0}\right]

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