Units & Measurement and Dimensions · Physics · KCET

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MCQ (Single Correct Answer)

1
Match the physical quantities given in List-I with dimensions expressed in terms of mass (M), length (L), time (T) and electric current (A) given in List-II.
List-IList-II
(a) Torque(i) $[M^{-1}L^{-2}T^{4}A^{2}]$
(b) Gravitational constant(ii) $[M^{1}L^{2}T^{-1}]$
(c) Capacitance(iii) $[M^{-1}L^{3}T^{-2}]$
(d) Planck's constant(iv) $[M^{1}L^{2}T^{-2}]$
Codes:
KCET 2026
2
Which of the following expression can be deduced on the basis of dimensional analysis? (All symbols have their usual meanings)
KCET 2025
3

Dimensional formula for activity of a radioactive substance is

KCET 2024
4

The true length of a wire is $$3.678 \mathrm{~cm}$$. When the length of this wire is measured using instrument $$A$$, the length of the wire is $$3.5 \mathrm{~cm}$$. When the length of the wire is measured using instrument $$B$$, it is found to have length $$3.38 \mathrm{~cm}$$. Then, the

KCET 2023
5

The Vernier scale of a travelling microscope has 50 divisions which coincides with 49 main scale divisions. If each main scale division is $$0.5 \mathrm{~mm}$$, then the least count of the microscope is

KCET 2022
6

A cylindrical wire has a mass $$(0.3 \pm 0.003) \mathrm{g}$$, radius $$(0.5 \pm 0.005) \mathrm{mm}$$ and length $$(6 \pm 0.06) \mathrm{cm}$$. The maximum percentage error in the measurement of its density is

KCET 2020
7

If $$P, Q$$ and $$R$$ are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?

KCET 2019
8
The dimensions of the ratio of magnetic flux $(\phi)$ and permeability $(\mu)$ are
KCET 2018
9
A substance of mass 49.53 g occupies $1.5 \mathrm{~cm}^3$ of volume. The density of the substance (in $\mathrm{g} \mathrm{cm}^{-3}$ ) with correct number of significant figures is
KCET 2017