Units and Measurement (Class 11 — ~20% weight)
SI units, dimensional analysis, error propagation, significant figures.
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Take a full mock →Q1 · Units and Measurement (Class 11 — ~20% weight) · MEDIUM
A physical quantity P is given by P = (a^2 × b^3) / (c × d^(1/2)), where a, b, c, and d are physical quantities with dimensions [L], [M], [T], and [LT^(-1)] respectively. What is the dimensional formula of P?
Q2 · Units and Measurement (Class 11 — ~20% weight) · MEDIUM
The length of a cylinder is measured as 5.0 cm using a vernier caliper with least count 0.01 cm, and its diameter is measured as 2.0 cm using the same instrument. If the measurements are precise to the least count, what is the percentage error in the calculated volume of the cylinder? (Take π = 3.14)
Q3 · Units and Measurement (Class 11 — ~20% weight) · EASY
Which of the following quantities has the same dimensions as that of energy per unit volume?
Q4 · Units and Measurement (Class 11 — ~20% weight) · EASY
The dimensions of coefficient of viscosity are:
Q5 · Units and Measurement (Class 11 — ~20% weight) · MEDIUM
The velocity v of a particle is given by the relation v = A√x + Bt, where x is displacement and t is time. The dimensional formula for the constant B is: