Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2026PhysicsChapterActual

In an experiment to determine the specific resistance of a metallic wire, a student uses the relation = V d^2 4 I L , where V is the potential difference across the wire, I is the current, d is the diameter, and L is the length. If the percentage errors in the measurement of V, I, d , and L are 2 %, 1 %, 3 % , and 2 % respectively, the maximum percentage error in the calculated value of will be

Options

  1. A8 %
  2. B5 %
  3. C11 %
  4. D14 %

Correct answer

C. 11 %

Step-by-step solution

Given the relation for specific resistance: = V d^2 4 I L The maximum percentage error in is given by the sum of the percentage errors of the individual quantities, multiplied by their respective powers: 100 = ( V V + 2 d d + I I + L L ) 100 Substituting the given percentage errors: 100 = 2 % + 2(3 %) + 1 % + 2 % 100 = 2 % + 6 % + 1 % + 2 % = 11 % Answer: 11 %

Practice Chapter on Quantrex Academy →

More from Chapter

A solid spherical body of radius R , density , and specific heat capacity s is initially at temperature T₀ . It is placed in a vacuum chamber at absolute zero and cools by emitting 2026A straight canal has motorboats departing from two terminals at opposite ends. The motorboats depart at regular intervals of T minutes in both directions and travel at a constant s 2026A wooden crate is released from rest at the top of a ramp inclined at 37^ to the horizontal. When the ramp is perfectly smooth, the crate reaches the bottom with a speed v . When t 2026A uniform horizontal beam of mass 6 kg and length L is hinged to a vertical wall at one end. The other end is supported by a light inextensible wire attached to the same wall, maki 2026A bullet P of mass 30 g moving with a speed of 200 m/s penetrates a target and comes to rest after travelling a distance of 10 cm inside it. Another bullet Q of mass 20 g moving wi 2026A small block of mass m is placed at the highest point of a smooth fixed sphere of radius R . It is given a horizontal initial speed v₁ such that it slides down the surface. The bl 2026A block of mass 2 kg is projected with an initial speed of 14 m/s on a rough horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.2 . Afte 2026A uniform horizontal circular disc of mass M and radius R is rotating freely about a vertical axis passing through its center at an angular speed of 40 rpm . Two small blocks, each 2026 Full Chapter list All NEET PYQs