Errors in Measurement and Error Propagation questions with solutions

Showing 1–10 of 66 questions

• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  A cylindrical wire of mass (0.4 ± 0.01)g has length (8 ± 0.04) cm and radius (6 ± 0.03) mm. The maximum error in its density will be:

  Options

  • Option A

    4%

  • Option B

    1%

  • Option C

    3.5%

  • Option D

    5%

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  JEE Mains8 April 2023Shift 1Morning Shift

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• MCQmediumUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  The edge of a cube is a = 1.2×10⁻² m. How should its volume be recorded with the correct significant figures?

  Options

  • Option A

    1.7×10⁻⁶ m³

  • Option B

    1.70×10⁻⁶ m³

  • Option C

    1.70×10⁻⁷ m³

  • Option D

    1.78×10⁻⁶ m³

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  If z = x²/(y³√w), relative errors in x,y,w are p,q,r respectively, the maximum relative error in z is:

  Options

  • Option A

    2p+3q+r/2

  • Option B

    2p-3q-r/2

  • Option C

    p+q+r

  • Option D

    2p+3q+2r

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be :

  Options

  • Option A

    500%

  • Option B

    600%

  • Option C

    6%

  • Option D

    60%

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  JEE Mains 2024 06 Apr Evening Shift

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• MCQmediumUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  In an experiment, four quantities a, b, c and d are measured with percentage errors 1%, 2%, 3% and 4% respectively. Quantity P is calculated as P = a³b²/(cd). Percentage error in P is:

  Options

  • Option A

    14%

  • Option B

    10%

  • Option C

    7%

  • Option D

    4%

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  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 :

  Options

  • Option A

    66%

  • Option B

    43%

  • Option C

    34%

  • Option D

    14%

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  JEE Mains 2024 29 Jan Evening Shift

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  The measured quantities are A=(10.0±0.1), B=(5.0±0.2). For Q=A-B, the maximum absolute error in Q is:

  Options

  • Option A

    0.1

  • Option B

    0.2

  • Option C

    0.3

  • Option D

    0.02

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  The side of a cube is measured as 2.00 cm with least count 0.01 cm. Taking maximum absolute error as one least count, the maximum percentage error in its volume is:

  Options

  • Option A

    0.5%

  • Option B

    1.0%

  • Option C

    1.5%

  • Option D

    3.0%

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• MCQmediumUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

  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____

  Options

  • Option A

    1.45

  • Option B

    1.65

  • Option C

    1.75

  • Option D

    1.55

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  JEE Mains 202623 January Evening Shift

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• MCQeasyUnits, Dimensions, Measurements and ErrorsErrors in Measurement and Error Propagation

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

  Options

  • Option A

    0.2%

  • Option B

    0.4%

  • Option C

    2%

  • Option D

    4%

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