JEE Main · 2021 · 25 Jul 2021 · Shift 1 · Units & Measurement

WhatsApp Email
Student A and Student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is 0.322 cm. The absolute value of the difference between the final circular scale readings observed by the students A and B is ____.
[Figure shows position of reference 'O' when jaws of screw gauge are closed]
Given pitch .

Answer: 13

Solution

The least count is cm. With the jaws closed the reference line of the first gauge stands at the circular division , a zero error of divisions, while on the second it stands at , which is divisions short of a full turn and so a zero error of divisions. Each observed reading is the true value shifted by that gauge's zero error, so the two students read

The main scale supplies cm in both cases, leaving circular scale readings of and . The difference between the two circular scale readings is .

JEE Main · 2021 · 25 Jul 2021 · Shift 1 · Integer answer

More JEE Main questions on Units & Measurement

  1. If ε, E and t represent the free space permittivity, electric field and time respectively, then the unit of will be :
    JEE Main 2026View solution →
  2. Keeping the significant figures in view, the sum of the physical quantities and 0.123 m is :
    JEE Main 2026View solution →
  3. A spherical body of radius and density falls freely through a viscous liquid having density and viscosity and attains a terminal velocity . Estimated maximum error in the quantity is : (Ignore errors associated with …
    JEE Main 2026View solution →
  4. Four persons measure the length of a rod as , , and . The relative error in the measurement of average length of the rod is:
    JEE Main 2026View solution →
  5. In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measured. If pitch scale reading is 1 mm and the circular scale reading is 51 then the …
    JEE Main 2026View solution →
  6. A ball of radius r and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time t, given by , where A is a constant and a, b, c and d are integers. The value of …
    JEE Main 2026View solution →