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Units & Dimensions Test - 10

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Units & Dimensions Test - 10
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  • Question 1
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    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion: Dimensional constants are the quantities whose values are constant.

    Reason: Dimensional constants are dimensionless.

    Solution

    Dimensional constants are not dimensionless.

  • Question 2
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Parallax method cannot be used for measuring distances of stars more than 100 light years away.

    Reason : Because parallax angle reduces so much that it cannot be measured accurately.

    Solution

    As the distance of star increases, the parallax angle decreases, and great degree of accuracy is required for its measurement. Keeping in view the practical limitation in measuring the parallax angle, the maximum distance of a star we can measure is limited to 100 light year.

  • Question 3
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The cesium atomic clocks are very accurate

    Reason : The vibration of cesium atom regulate the rate of cesium atomic clock.

    Solution

    The clock mechanism counts a second each time it swings. Quartz plays the same role as a pendulum, just a lot quicker: it vibrates at a resonant frequency many thousands of times a second. And that's where caesium comes in. It has a far higher resonant frequency even than quartz - 9,192,631,770 Hz, to be precise.

  • Question 4
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Now a days a standard metre is defined in terms of the wavelength of light.

    Reason : Light has no relation with length.

    Solution

    Light has well defined relation with length.

  • Question 5
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The number of significant figures depends on the least count of measuring instrument.

    Reason : Significant figures define the accuracy of measuring instrument.

    Solution

    The significant digits determine precision of the instrument, let's say using scale a value read is 1.8 m, using more precise instrument the reading can be 1.83. Accuracy is closeness of a measured value to actual value, which is independent of measuring instrument least count.

  • Question 6
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Number of significant figures in 0.005 is one and that in 0.500 is three

    Reason : This is because zeros are not significant.

    Solution

    Since zeros placed to the left of the number are never significant, but zeros placed to right of the number are significant

  • Question 7
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Energy cannot be divided by volume.

    Reason : Dimensions for energy and volume are different.

    Solution

    Dimensions for energy and volume are different but energy divided by volume can give us a quantity (which will not be dimensionless, but will represent Energy Density)

  • Question 8
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Avogadro’s number is the number of atoms in one gram mole.

    Reason : Avogadro’s number is a dimensionless constant.

    Solution

    Avogadro number (N) represents the number of atoms in 1 gram mole of an element, i.e. it has the dimensions of mole-1.

  • Question 9
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : When we change the unit of measurement of a quantity, its numerical value changes.

    Reason : Smaller the unit of measurement smaller is its numerical value.

    Solution

    Assertion is correct that changing the unit of measurement changes the numerical value of the quantity. For example, let the mass of the body to be 1 kg. Its mass in cgs unit, m=1kg* 1000/kg = 1000 g. Hence the numerical value of the mass gets changed. Also, we see that smaller the unit of measurement, greater is its numerical value. Thus reason is incorrect.

  • Question 10
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : A.U. is much bigger than Å.

    Reason : A.U. stands for astronomical unit and A stands for Angstrom.

    Solution

    A.U. is used (Astronomical units) to measure the average distance of the centre of the sun from the centre of the earth, while angstrom is used for very short distances.

  • Question 11
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion: In the measurement of physical quantities direct and indirect methods are used.

    Reason : The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

    Solution

    Direct measurement refers to directly measuring the quantity for which the experiment is performed while indirect measurement means first measuring some primary quantities and then using them to calculate the required quantity. It has no connection to accuracy and precision. Exactness should be considered to know the closeness of result to genuine worth while accuracy is needed to get the relationship between various qualities which are seen in consistently playing out a trial.

    The given reason is about the measurement of physical quantities but it doesn’t explain about the methods used in the measurement of physical quantities such that direct and indirect methods.

    Both direct and indirect methods of level measurement are applicable to a range of industrial level analysis applications. By using a detachment valve in every one of these strategies, organizations can give simplicity of field adjustment, improve wellbeing conditions, and get more precise estimations of their stock.

    So, both statements are correct but the reason one doesn’t explain first.

  • Question 12
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The error in the measurement of radius of the sphere is 0.3%.The permissible error in its surface area is 0.6%.

    Reason : The permissible error is calculated by the formula ΔA/A=4Δr/r

    Solution

  • Question 13
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Out of three measurements I = 0.7 m; I = 0.70 m and I = 0.700 m, the last one is most accurate.

    Reason : In every measurement, only the last significant digit is not accurately known.

    Solution

    The last number is most accurate because it has greatest significant figure (3).

  • Question 14
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Absolute error may be negative or positive.

    Reason : Absolute error is the difference between the real value and the measured value of a physical quantity.

    Solution

    Absolute error is the difference between the exact value and the approximation. It is always positive.

  • Question 15
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion: ‘Light year’ and ‘Wavelength’ both measure distance.

    Reason : Both have dimension of time.

    Solution

    Light year and wavelength both represent the distance, so both have dimension of length not of time.

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