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1
KCET 2025
MCQ (Single Correct Answer)
+1
-0
Which of the following expression can be deduced on the basis of dimensional analysis? (All symbols have their usual meanings)
A
$\mathrm{x}=\mathrm{A} \cos \omega \mathrm{t}$
B
$\mathrm{N}=\mathrm{N}_0 \mathrm{e}^{-\lambda \mathrm{t}}$
C
$\mathrm{F}=6 \pi \eta \mathrm{r} \nu$
D
$\mathrm{s}=\mathrm{ut}+\frac{1}{2} \mathrm{at}{ }^2$
2
KCET 2024
MCQ (Single Correct Answer)
+1
-0

Dimensional formula for activity of a radioactive substance is

A
$\left[M^0 \mathrm{~L}^1 \mathrm{~T}^{-1}\right]$
B
$\left[M^0 L^{-1} T^0\right]$
C
$\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^{-1}\right]$
D
$\left[M^{-1} L^0 T^0\right]$
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

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

A
measurement with $$A$$ is more accurate and precise.
B
measurement with $$A$$ is more accurate while measurement with $$B$$ is more precise.
C
measurement with $$B$$ is more accurate and precise.
D
measurement with $$A$$ is more precise while measurement with $$B$$ is more constant.
4
KCET 2022
MCQ (Single Correct Answer)
+1
-0

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

A
$$0.5 \mathrm{~mm}$$
B
$$0.01 \mathrm{~mm}$$
C
$$0.5 \mathrm{~cm}$$
D
$$0.01 \mathrm{~cm}$$
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KCET Subjects
Physics
Mechanics
Units & Measurement and Dimensions Vector Algebra Motion in a Straight Line Motion in a Plane Laws of Motion Circular Motion Work, Energy and Power Center of Mass and Collision Rotational Motion Gravitation Simple Harmonic Motion Fluid Mechanics Elasticity Waves Heat and Thermodynamics
Optics
Ray Optics Wave Optics
Electromagnetism
Electrostatics Current Electricity Capacitor Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction Alternating Current Electromagnetic Waves
Modern Physics
Atoms and Nuclei Dual Nature of Radiation Semiconductor Devices and Logic Gates Communication Systems
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry Atomic Structure States of Matter Thermodynamics Chemical Equilibrium Ionic Equilibrium Liquid Solution Redox Reactions Surface Chemistry Solid State Electrochemistry Chemical Kinetics Nuclear Chemistry
Inorganic Chemistry
Periodic Table and Periodicity Chemical Bonding and Molecular Structure Metallurgy Hydrogen and It's Compounds s-Block Elements p-Block Elements d and f Block Elements Coordination Compounds Salt Analysis Environmental Chemistry
Organic Chemistry
IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Haloalkanes and Haloarenes Alcohol, Phenols and Ethers Aldehyde and Ketone Carboxylic Acids and Its Derivatives Compounds Containing Nitrogen Polymers Biomolecules Chemistry in Everyday Life Practical Organic Chemistry
Mathematics
Algebra
Logarithms Quadratic Equations Sequences and Series Permutations and Combinations Probability Sets and Relations Binomial Theorem Vector Algebra Three Dimensional Geometry Matrices and Determinants Statistics Mathematical Reasoning Linear Programming Complex Numbers
Trigonometry
Trigonometric Ratios & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles
Calculus
Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
Coordinate Geometry
Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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