Home
Class 11
PHYSICS
Find the relative error in Z, if Z = (A^...

Find the relative error in Z, if Z = `(A^(4)B^(1/3))/(CD^(3/2))`.

Text Solution

Verified by Experts

The relative erro in Z is `DeltaZ//Z = 4(DeltaA//A)+(1//3)(DeltaB//B)+(DeltaC//C)+(3//2)(DeltaD/D)`.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    NCERT BANGLISH|Exercise Exercise (Fill in the blanks)|8 Videos
  • UNITS AND MEASUREMENT

    NCERT BANGLISH|Exercise EXERCISE|23 Videos
  • THERMODYNAMICS

    NCERT BANGLISH|Exercise EXERCISES|7 Videos
  • WAVES

    NCERT BANGLISH|Exercise Exercises|26 Videos

Similar Questions

Explore conceptually related problems

What is the maximum possible relative error in Z, where Z =A^n B^m ?

Given Z = (A^(4)b^(1//3))/(CD^(3//2)) where A,B,C and D are physical quantity. What will be the maximum percentage error in Z.

Given Z = (A^4B^(1//3))/(CD^(3//2)) where A, B, C & D are physical quantity. What will be the maximum -percentage error in Z?

If z_(1)=3i and z_(2)=-1-i , where i=sqrt(-1) find the value of arg ((z_(1))/(z_(2)))

Find the distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x)/(2)=(y-5)/(3)=(z+1)/(4)

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and x/2=(y-5)/3=(z+1)/4

find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

If z_1, z_2, z_3 are distinct nonzero complex numbers and a ,b , c in R^+ such that a/(|z_1-z_2|)=b/(|z_2-z_3|)=c/(|z_3-z_1|) Then find the value of (a^2)/(z_1-z_2)+(b^2)/(z_2-z_3)+(c^2)/(z_3-z_1)

Let fourth roots of unity be z_(1),z_(2),z_(3) and z_(4) respectively. Statement - I: z_(1)^(2)+z_(2)^(2)+z_(3)^(2)+z_(4)^(2)=0 Statement - II: z_(1)+z_(2)+z_(3)+z_(4)=0