In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s and 5 A, respectively. If 0 and 0 are the permeability and permittivity of free space, respectively, then in this new system of units, the magnitude of one SI unit of 0/ 0, is:
Units and Measurements
Previous year questions with solutions · 2024 – 2026
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 1 | 2 | 0.5 | 2.94% ↓68.6% |
| 2025 | 3 | 2 | 1.5 | 9.38% ↑59.4% |
| 2024 | 2 | 2 | 1 | 5.88% |
A single slit diffraction experiment is performed to determine the slit width using the equation, bdD=m , where b is the slit width, D the shortest distance between the slit and the screen, d the distance between the mth diffraction maximum and the central maximum, and is the wavelength. D and d are measured with scales of least count of 1 cm and 1 mm, respectively. The values of and m are known precisely to be 600 nm and 3, respectively. The absolute error (in m) in the value of b estimated using the diffraction maximum that occurs for m=3 with d=5 mm and D=1 m is
The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height are both measured to be 20.0 cm. The maximum percentage error in the determination of the volume is .