NEET · Physics —

Units and Measurements appeared 3 times across 1 year — 6.7% of Physics. This question is from Significant Figures and Density Calculation.

Year 2024 Total
Questions 3 3
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Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as X × 10³ kg m ⁻³ where the value of X is:

Solution & Explanation

Related Formula
ρ = MassVolume
Core Logic
Density = 5.580 kg(9.0 × 10⁻² m)³ = 5.580729 × 10⁻⁶ = 7.6543 × 10³ kg/m³

Side length 9.0 cm has 2 significant figures. Result must be rounded off to 2 significant figures.

ρ = 7.7 × 10³ kg/m³ ⇒ X = 7.7
Pattern Recognition

Significant figures rule in division: output matches minimum input sig-figs.

Chapter Mix

Class 11 Physics: Units and Measurements

Reference Study Guides

Units And Measurements

More Units and Measurements Previous-Year Questions

Q4 neet_2024_05_may_morning Units and Dimensional Analysis
The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is:
  • A. 3 × 10⁸
  • B. 3 × 10¹⁰
  • C. 400
  • D. 500

Solution

Related Formula

d = v × t

Core Logic

Time t = 6 min 40 s = (6 × 60) + 40 = 400 s. In new unit, speed v = 1. Distance d = v × t = 1 × 400 = 400 units.

Pattern Recognition

Unit system conversion where baseline speed is set to 1.

Chapter Mix

Class 11 Physics: Units and Measurements

Q6 neet_2024_05_may_morning Measuring Instruments
In a vernier calipers, 20 VSD coincide with 16 MSD (each division of length 1mm ). The least count of the vernier calipers is-
  • A. 0.01cm
  • B. 0.1cm
  • C. 0.02cm
  • D. 0.2cm

Solution

Related Formula
Least Count (L.C.) = 1 MSD - 1 VSD
Core Logic

Given: 20 VSD = 16 MSD ⇒ 1 VSD = (16)/(20) MSD.

L.C. = 1 MSD - (16)/(20) MSD = (4)/(20) MSD = (1)/(5)mm = 0.2mm = 0.02cm
Pattern Recognition

Least count derivation from division coincidence.

Chapter Mix

Class 11 Physics: Units and Measurements

More Units and Measurements Questions — neet_2024_05_may_morning

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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)