Home
Class 11
PHYSICS
A physical parameter a can be determined...

A physical parameter `a` can be determined by measuring the parameters `b, c, d, and e` using the relation `a=b^(alpha)c^(beta)//d^(gamma)e^(delta)`. If the maximum errors in the measurement of `b, c , d, and e are b_(1) %,c_(1)% ,d_(1)% , and e_(1) %`, then the maximum error in the value of `a` determined by the experminent.

Text Solution

AI Generated Solution

To find the maximum error in the physical parameter \( a \) determined by the relation \( a = \frac{b^{\alpha} c^{\beta}}{d^{\gamma} e^{\delta}} \), we will follow these steps: ### Step-by-Step Solution: 1. **Write the relationship**: The relationship given is: \[ a = \frac{b^{\alpha} c^{\beta}}{d^{\gamma} e^{\delta}} ...
Promotional Banner

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.1|16 Videos
  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.2|6 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos
  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

A physical parameter a can be determined by measuring the parameters b,c,d and e using the relation a = b^alpha c^beta //d^gamma e^delta . If the maximum errors in the measurement of b, c, d and e are b_1 % , c_1 % , d_1 % and e_1 % then the maximum error in the value of a determined by the experiment is (b_1+c_1+d_1+e_1)% (b_1+c_1-d_1-e_1)% (alphab_1+betac_1-gammad_1-deltae_1)% (alphab_1+betac_1+gammad_1+deltae_1)%

If Y=a+b , the maximum percentage error in the measurement of Y will be

If x= (a)-(b) , then the maximum percentage error in the measurement of x will be

If Y=a-b , then maximum percentage error in the measurement of Y will be

A physical quantity P is described by the relation P=a^(1/2)b^(2)c^(3)d^(-4). If the relative errors in the measurements a, b, c and d respectively, are 2%, 1%, 3%, and 5%, then the relative error in P will be :

If X = a + b , the maximum percentage error in the measurement of X will be

If x = a/b , then the maximum percentage error in the measurement of 'x' will be

Find the relative error in Z, if Z=A^(4)B^(1//3)//CD^(3//2) and the percentage error in the measurements of A,B,C and D are 4%,2%,3% and 1% respectively.

The percentage error in the measurement of mass and speed are 2% and 3% respectively. Maximum estimate of percentage error of K.E

The heat dissipated in a resistance can be obtained by the measurement of resistance, current and time. If the maximum percentage error in the measurement of these quantities are 1%,2% and 1% respectively. The maximum percentage error in the determination of the dissipated heat is -