For part d), how to show that they are inversely proportional to each other ? The mark scheme states:
"Correct calculation to check inverse proportionality. √h x cosϑ = k. Sensible comments relating to calculations to within 20% or their own value and suggested relation."
What do they mean by 20%?
Percentage uncertainty = (uncertainty/measured value) x100%
The Attempt at a Solution
My values are,
√h = (2.95±0.1) cm, cos θ = 0.50. k1 = 2.95 x 0.50 = 1.475
√h = (2.30±0.1) cm, cos θ = 0.64, k2 = 2.30 x 0.64 = 1.472
I calculated the percentage difference of k,
((1.475-1.472) /1.472 ) x 100% = 0.2%
Then I calculated the uncertainty of √h = (0.1 / 2.30) x 100% = 4.3%
This is the method I followed from a textbook, so what does the 20% in the mark scheme represents ? Hope you all understand what I'm doing here..