Units of measurements; SI units, fundamental and derived units; least count, accuracy and precision; significant figures; dimensional analysis and its applications.
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Q1 · Physics and Measurement · EASY
A vernier callipers has 20 divisions on the vernier scale which coincide with 19 divisions on the main scale. If each division on the main scale is 1 mm, then the least count of the instrument is:
Q2 · Physics and Measurement · MEDIUM
The dimensional formula of physical quantity X is [M L^2 T^-3 A^-1]. The physical quantity X is:
Q3 · Physics and Measurement · MEDIUM
The length and breadth of a rectangular sheet are measured to be 16.2 cm and 10.1 cm respectively. The area of the sheet with correct number of significant figures is:
Q4 · Physics and Measurement · MEDIUM
Using dimensional analysis, the relation between velocity (v), acceleration (a) and distance (s) can be shown to be v² = k a^x s^y, where k is a dimensionless constant. The values of x and y are:
Q5 · Physics and Measurement · HARD
A physical quantity P is given by P = (A² B³)/(C D^(1/2)), where A, B, C and D are measured quantities. The percentage errors in A, B, C and D are 1%, 2%, 3% and 4% respectively. The percentage error in P is: