Question

A physical quantity is represented by X = [MᵃLᵇT^-c]. If percentage error in the measurement of M,L and T are ∝%, β% and gamma% respectively, then maximum percentage error in measurement of X should be? (Given that ∝, β and gamma are very small)

1. (∝a - βb + gamma·c)%
2. (∝a +βb + gamma·c)%
3. (∝a - βb - gamma·c)%
4. (∝a + βb - gamma·c)%

Answer 1

Answer:

[X]=[M  

a

L  

b

T  

c

];

So, maximum % error:

X

ΔX

​  

×100=(  

M

aΔM

​  

+  

L

bΔL

​  

+  

T

cΔT

​  

)×100=(αa+βb+γc)%