Question

If X =8.00± 0.04 CM and Y =4.00±0.04cm then x/y should be expressed as? ​

Answer 1

Answer ⇒ X/Y = 2.00 ± 0.03 cm.

Explanation ⇒ X = 8.00 ± 0.04

Y = 4.00 ± 0.04

Now, X/Y = 8.00/4.00

∴ X/Y = 2.00

Let X/Y = D

But, We need to find the error in X/Y.

  Relative error in D or X/Y = ΔX/X + ΔY/Y

 ∴ ΔD/D = 0.04/8 + 0.04/4

∴ Relative error in D or X/Y = 0.12/8 = 0.015

∴ ΔD = 0.03

∴ D = X/Y = 2.00 ± 0.03  cm.

Hope it helps.