The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale,
The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to 10 divisions of vernier scale. One main scale division is $1 \mathrm{~mm}$. The main scale reading is $10 \mathrm{~mm}$ and $8^{\text {th }}$ division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of $0.04 \mathrm{~cm}$, then
the radius of the bob is $\times 10^{-2} \mathrm{~cm}$
$9 \mathrm{MSD}=10 \mathrm{VSD}$
$9 \times 1 \mathrm{~mm}=10 \mathrm{VSD}$
$\therefore 1 \mathrm{VSD}=0.9 \mathrm{~mm}$
$\mathrm{LC}=1 \mathrm{MSD}-1 \mathrm{VSD}=0.1 \mathrm{~mm}$
Reading $=\mathrm{MSR}+\mathrm{VSR} \times \mathrm{LC}$
$10+8 \times 0.1=10.8 \mathrm{~mm}$
Actual reading $=10.8-0.4=10.4 \mathrm{~mm}$
radius $=\frac{\mathrm{d}}{2}=\frac{10.4}{2}=5.2 \mathrm{~mm}$
$=52 \times 10^{-2} \mathrm{~cm}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,