Question:
A physical quantity 'y' is represented by the
formula $\mathrm{y}=\mathrm{m}^{2} \mathrm{r}^{-4} \mathrm{~g}^{\mathrm{x}} l^{-\frac{3}{2}}$
If the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the value of x and p.
5 and ± 2
4 and ± 3
$\frac{16}{3}$ and $\pm \frac{3}{2}$
8 and ± 2
Correct Option: , 3
Solution:
$\frac{\Delta \mathrm{y}}{\mathrm{y}}=\frac{2 \Delta \mathrm{m}}{\mathrm{m}}+\frac{4 \Delta \mathrm{r}}{\mathrm{r}}+\frac{\mathrm{x} \Delta \mathrm{g}}{\mathrm{g}}+\frac{3}{2} \frac{\Delta \ell}{\ell}$
$18=2(1)+4(0.5)+x p+\frac{3}{2}(4)$
$8=x p$
By checking from options.
$x=\frac{16}{3}, p=\pm \frac{3}{2}$
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- 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
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- Atoms
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