Through some tasty culinary investigation, Chef Willie has found the difference threshold for the sweetness of sugar in a cake. For a cake with 100 mg of sugar, the difference threshold is 5 mg. According to Weber's law, how much sugar would need to be added to a cake already containing 250 mg of sugar in order to make it taste just noticeably sweeter?
A) 5 mg
B) 10 mg
C) 12.5 mg
D) 20 mg

Question

Quizplus · Accepted Answer

Weber's law states that the just noticeable difference (JND) is a constant proportion of the original stimulus magnitude. Since the difference threshold for 100 mg of sugar is 5 mg (5% of 100 mg), to find the difference threshold for 250 mg, we calculate 5% of 250 mg, which is 12.5 mg.

Through Some Tasty Culinary Investigation, Chef Willie Has Found the Difference