There is an unknown quantity x = R l 100 - l , here l is length ( in cm ) measured using a scale having least count of 1 cm . and R is a quantity known accurately. Find the percentage error in measurement of x for l = 50 cm ?

Question

There is an unknown quantity x = R l 100 - l , here l is length ( in cm ) measured using a scale having least count of 1 cm . and R is a quantity known accurately. Find the percentage error in measurement of x for l = 50 cm ?, 1 %, 6 %, 2 %, 4 %

MARKS App · Accepted Answer

x = R ℓ 100 - ℓ Δ x x = Δ ℓ ℓ + Δ ℓ 100 - ℓ Δ x x × 100 = 1 50 + 1 50 × 100 = 4 %

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