Free physics question bank

Error and its addition ,subtraction,multipication and division questions with solutions

Practice Unit dimension and error for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 43 questions

  • MCQeasyUnit dimension and error

    A length is measured as (5.00 ± 0.02) cm. The percentage error is:

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  • MCQeasyUnit dimension and error

    The density of a cylinder is calculated from ρ = 4m/(πd²h). Errors in m,d,h are 1%,2%,3%. Maximum percentage error in ρ is:

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  • MCQmediumUnit dimension and error

    The radius r, length ℓ and resistance R of a metal wire are measured as r = (0.35 ± 0.05) cm, R = (100 ± 10) Ω and ℓ = (15 ± 0.2) cm. The percentage error in resistivity of the material of the wire is:

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    JEE Mains 2024 01 Feb Morning Shift

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  • MCQeasyUnit dimension and error

    Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25 cm. The relative error in the measurement of average length of the rod is :

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    JEE Mains 202623 January Morning Shift

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  • MCQeasyUnit dimension and error

    A physical quantity Q is found to depend on quantities a, b, c by the relation Q = a⁴b³/c². The percentage error in a, b and c are 3%, 4% and 5% respectively. Then, the percentage error in Q is :

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    JEE Mains 2024 29 Jan Evening Shift

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  • MCQeasyUnit dimension and error

    Two particles move in the same direction with measured speeds v₁ = (20.0 ± 0.2) m/s and v₂ = (18.0 ± 0.2) m/s. The maximum percentage error in their relative speed is:

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  • MCQmediumUnit dimension and error

    The time period of a simple harmonic oscillator is

    T = 2π√(m/k).

    The measured value of mass m of the object is 10 g with an accuracy of 10 mg, and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant k is _______ %.

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    JEE Mains 202628 January Evening Shift

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  • MCQmediumUnit dimension and error

    An experiment determines g from g = 4π²(L₁ + L₂)/T². Measurements are L₁ = (40.0 ± 0.2) cm, L₂ = (60.0 ± 0.3) cm and T = (2.00 ± 0.01) s. The maximum percentage error in g is:

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  • MCQmediumUnit dimension and error

    To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm. The least count of scale is 1 cm. The percentage error in the ratio of EMFs is____

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    JEE Mains 202623 January Evening Shift

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  • MCQmediumUnit dimension and error

    Two particles move along mutually perpendicular directions with speeds u and v. Their relative speed is V = √(u² + v²). If the maximum absolute errors are Δu and Δv, the maximum relative error in V is:

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