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The MCQs below are drawn from the Physics subject category.
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321
In a laboratory experiment, two quantities x and y are measured. Then the formula: f = c x / y is used to calculate a third quantity f. If Δx and Δy are the uncertainties in x and y, respectively, then what is the uncertainty in f?
The maximum possible error is typically taken as half the least count of the instrument.
323
In an experiment, we measure quantities a, b and c. Then x is calculated from the formula, x = 3 ab2. The percentage errors in a, b, c are +1%, +3%, and +2% respectively. The percentage error in x can be
The least precise measurement has one decimal place (11.8), so the sum should be rounded to one decimal place: 19.4 kg.
326
A physical quantity is represented by X = M^a L^b T^c. If percentage errors in the measurements of M, L and T are a%, b% and y% respectively, then total percentage error is
For X = M^a L^b T^c, percentage errors add in magnitude: total percentage error = a% + b% + c% weighted by exponents, so the choice with all plus signs is correct.
327
The discharge Q over a notch for head H is calculated by the formula Q = K H^{5/2}, where K is a given constant. If the head is 75 cm and an error of 0.15 cm is possible in its measurement, the percentage error in computing the discharge is:
Using the buoyancy correction with air density 0.0012 g cm^-3 and object density 3.4 g cm^-3 gives a fractional error ≈ 2 × 10^-4, matching option (d) in the OCR solution.
329
The mean diameter of a ball is to be measured with a vernier callipers. A set of 100 measurements of diameter is expected to
