Home
Class 11
PHYSICS
A physical quantity X is related to four...

A physical quantity X is related to four measurable quantities a,b,c and d as follows.
`X=a^2b^3c^(5//2)d^-2`
The percentage error in the measurement of a,b,c and d are `1%,2%,3%` and `4%` respectively. What is the percentage error in X?

Text Solution

Verified by Experts

Here, `X=a^2b^3c^(5//2)d^-2`
`(DeltaX)/X=pm[2((Deltaa)/a)+3((Deltab)/b)+5/2((Deltac)/c)+2((Deltad)/d)]`
`=pm[2(1%)+3(2%)+5/2(3%)+2(4%)]`
`=pm23.5%`
The percentage error in X is `pm` 23.5%
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    VGS PUBLICATION-BRILLIANT|Exercise PROBLEMS|15 Videos

  • UNITS AND MEASUREMENTS

    VGS PUBLICATION-BRILLIANT|Exercise PROBLEMS|15 Videos

  • THERMAL PROPERTIES OF MATTER

    VGS PUBLICATION-BRILLIANT|Exercise LONG ANSWER QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

A physical quantity P is related to four quantities a,b , c and d as follows . P = (a^3 b^2)/(sqrt(c) d) The percentage errors of measurement in a,b , c and d are 1% , 3% , 4% and 2% respectively . What is the percentage error in the quantity P ?

A physical quantity P is related to four observables a,b,c and d as follows: P = a^(3)b^(2)/(sqrtcd) The percentage errors of measurement in a,b, c and d are 1%, 3% , 4% and 2% respectively. What is the percentage error in the quantity P ? If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result ?