Question:
The formula for the physical quantity is \(P = \frac{x^3 y}{z^2}\) and the percentage error in the determination of physical quantities \(x, y, z\) are \(0.6%, 3%\) and \(1.3%\) respectively. The percentage error in the measurement of \(P\) is
The formula for the physical quantity is \(P = \frac{x^3 y}{z^2}\) and the percentage error in the determination of physical quantities \(x, y, z\) are \(0.6%, 3%\) and \(1.3%\) respectively. The percentage error in the measurement of \(P\) is
Show Hint
Powers multiply the percentage error.
Updated On: Apr 26, 2026
- \(2.2%\)
- \(4.9%\)
- \(5.3%\)
- \(7.4%\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
For multiplication/division: \[ \frac{\Delta P}{P} = 3\frac{\Delta x}{x} + \frac{\Delta y}{y} + 2\frac{\Delta z}{z} \] Step 1: Substitute percentage errors. \[ \text{Error in } P = 3(0.6) + 3 + 2(1.3) \]
Step 2: Calculate. \[ = 1.8 + 3 + 2.6 = 7.4% \]
Step 3: Conclusion. \[ \text{Percentage error} = 7.4% \]
For multiplication/division: \[ \frac{\Delta P}{P} = 3\frac{\Delta x}{x} + \frac{\Delta y}{y} + 2\frac{\Delta z}{z} \] Step 1: Substitute percentage errors. \[ \text{Error in } P = 3(0.6) + 3 + 2(1.3) \]
Step 2: Calculate. \[ = 1.8 + 3 + 2.6 = 7.4% \]
Step 3: Conclusion. \[ \text{Percentage error} = 7.4% \]
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Gravitation Questions
- If $W_1$, $W_2$ and $W_3$ represent the work done in moving a particle from $A$ to $B$ along three different paths $1$, $2$ and $3$ (as shown in fig) in the gravitational field of the point mass $'m'$. Find the correct relation between $'W'_1$, $'W_2'$ and $'W_3'$
- If $ g $ is the acceleration due to gravity on earth?s surface, the gain of the potential energy of an object of mass $ m $ raised from the surface of the earth to a height equal to the radius $ R $ of the earth is
- There is no change in the volume of a wire due to change in its length on stretching. The Poisson's ratio of the material of the wire is
- In a satellite, if the time of revolution is $ T $ , then $ KE $ is proportional to
- In the circuit shown in the figure, the input voltage is and . The values of and are given by:
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions