.straight A space physical space quantity space straight X space is space related space to space three space observables space straight a comma straight b comma straight c space as space straight X equals fraction numerator square root of a space b squared over denominator c squared end fraction
the space error space of space measurement space in space straight a comma straight b space and space straight c space are space 2 percent sign space comma 1 percent sign space and space 3 percent sign space respectively space
. what space is space the space percentage space error space in space the space quantity space straight X space ?

Asked by satya785583 | 24th Mar, 2019, 10:56: AM

Expert Answer:

In any physical quantity the percentage error is given by = modulus of power of quantity × percentage error in measurement
For given question 
Percentage error in x = 1/2 ×percentage error in a + 2×percentage error in b + 2×percentage error in c
Percentage error in x = 1/2×2 + 2×1 + 2×3 = 1+2+6= 9%

Answered by Ankit K | 24th Mar, 2019, 10:14: PM