Unit dimension and error questions with solutions

Showing 1–10 of 448 questions

• MCQeasyUnit dimension and errorDimension and its application

  A physical quantity has dimensions [M⁻¹L³T⁻²]. If mass, length and time units become 2, 3 and 1/2 times old units, its new numerical value is:

  Options

  • Option A

    54 times old

  • Option B

    1/54 of old

  • Option C

    27/8 of old

  • Option D

    8/27 of old

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• MCQeasyUnit dimension and errorunit and conversion of units

  If unit length is doubled and unit time is halved, the new numerical value of a given velocity becomes:

  Options

  • Option A

    1/4 of old

  • Option B

    4 times old

  • Option C

    Same

  • Option D

    8 times old

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• MCQmediumUnit dimension and error

  In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm. The measured current in the conductor is 2.00 A. The maximum permissible percentage error in the resistivity of the conductor is :-

  Options

  • Option A

    3.9

  • Option B

    8.4

  • Option C

    7.5

  • Option D

    3.0

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• NumericmediumUnit dimension and error

  Two screw gauges of equal pitch 0.1 cm and 100 circular divisions measure the radius of a wire whose true radius is 0.322 cm. Using the two zero-error figures shown, find the absolute difference between the final circular-scale readings. Image

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• MCQmediumUnit dimension and error

  Using the expression 2d sin θ = λ, one calculates the values of d by measuring the corresponding angles θ in the range 0 to 90°. The wavelength λ is exactly known and the error in θ is constant for all values of θ. As θ increases from 0° :-

  Options

  • Option A

    the absolute error in d remains constant

  • Option B

    the absolute error in d increases

  • Option C

    the fractional error in d remains constant

  • Option D

    the fractional error in d decreases

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• IntegerdifficultUnit dimension and errorvernier callipers and screw gauge

  A screw gauge has pitch 0.5 mm and 100 circular divisions. PSR = 2.0 mm, CSR = 64 and zero error = -0.02 mm. Enter the corrected reading in micrometres.

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• MCQeasyUnit dimension and errorunit and conversion of units

  A new unit α of length is defined in the question such that one α corresponds numerically to 3×10⁸ m. Light takes 6 min 40 s to travel from Venus to Earth. What is this distance in α units?

  Options

  • Option A

    200 α

  • Option B

    400 α

  • Option C

    300 α

  • Option D

    500 α

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• IntegerdifficultUnit dimension and errorvernier callipers and screw gauge

  A direct vernier has 80 VSD = 78 MSD and 1 MSD = 0.4 mm. Enter the least count in micrometres.

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• MatchmediumUnit dimension and errorDimension and its application

  Match List I with List II and choose the correct option.

  List 1

  1. Resistivity

  2. Kinematic viscosity

  3. Electric flux

  4. Latent heat

  List 2

  1. [L²T⁻¹]

  2. [ML³T⁻³A⁻¹]

  3. [ML³T⁻³A⁻²]

  4. [L²T⁻²]

  Options

  • Option A

    P-3, Q-1, R-2, S-4

  • Option B

    P-1, Q-3, R-4, S-2

  • Option C

    P-3, Q-2, R-1, S-4

  • Option D

    P-4, Q-1, R-2, S-3

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• MCQeasyUnit dimension and errorsignificant number

  Using significant-figure rules, evaluate 15.0 ÷ 4.2.

  Options

  • Option A

    3.571

  • Option B

    3.57

  • Option C

    3.6

  • Option D

    4

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