Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202615 April 2026Morning ShiftPhysicsMathematics in PhysicsActual

The length of rod is measured by meter scale having least count 0.1 cm and diameter is measured by vernier callipers having least count 0.01 cm. Length of rod is 5.0 cm and radius 2.0 cm. The percentage error in the calculated value of the volume is

Options

  1. A1 %
  2. B2.5 %
  3. C5 %
  4. D7 %

Correct answer

B. 2.5 %

Step-by-step solution

The volume of the cylindrical rod is given by V = D^2 L 4 , where D is the diameter and L is the length. The percentage error in the volume is given by: V V 100 = ( 2 D D + L L ) 100 Given that the diameter is measured by vernier callipers, the measured quantity is D . Radius r = 2.0 cm Diameter D = 4.0 cm Least count of vernier callipers, D = 0.01 cm Length L = 5.0 cm Least count of meter scale, L = 0.1 cm Substituting the values into the percentage error formula: V V 100 = ( 2 0.01 4.0 + 0.1 5.0 ) 100 V V 100 = (

Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

Which of the following statements is/are true? (A) Three vectors not lying in a plane give zero resultant (B) Three vectors lying in a plane can give zero resultant (C) Two vectors 2026Forces A and B act at a point. The sum of their magnitudes is 50 N and the magnitude of their resultant is 20 N. If the resultant is at 90^ with the smaller force, the magnitudes o 2026If two vectors A = 4 i + n j + 2 k and B = 2 i + 2 j - k are mutually perpendicular to each other then value of 'n' is 2026A physical quantity x is related as x = a b^2 c^3 d⁻⁴ . Relative errors in the quantities a , b , c and d are 2%, 1%, 3% and 4% respectively. Relative error in x will be 2026The percentage error in the measurement of mass of a body and its speed are 0.73 % and 1.84 % respectively. The percentage error in the measurement of its momentum and kinetic ener 2026The area of parallelogram formed by vectors P = 2 i - j + 5 k and Q = 3 i - 2 j + 4 k is 2026A cuboid has volume V = l l l , where l is the length of one side. When the length l is measured by a meter scale of least count 1 , mm , the relative percentage error in the measu 2026For two vectors P and Q , P Q = | P Q | The magnitude of R = P + Q is ( 45^ = 1 2 ) ? 2026 Full Mathematics in Physics list All MHT CET PYQs