JEE Main: Units, Dimensions And Error Analysis! Quiz

10 Questions | Total Attempts: 188

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JEE Main: Units, Dimensions And Error Analysis! Quiz


Questions and Answers
  • 1. 
    Suppose refractive index is given as, where P and Q are constants and v is the speed of light and  is the wavelength, then dimensions of Q are the same as that of
    • A. 

      Wavelength

    • B. 

      Volume

    • C. 

      Force

    • D. 

      Acceleration

  • 2. 
    The Equation of stationary wave is then which of the following is false:
    • A. 
    • B. 
    • C. 
    • D. 
  • 3. 
    In the Equation   the dimensional formula for will be
    • A. 

      MLT

    • B. 
    • C. 
    • D. 
  • 4. 
    For any spring of spring constant k, the frequency of vibrations ‘f’ is given by the formula f = Xmakb, where X is a dimensionless constant. The value of ‘a’ and ‘b’ are, respectively:
    • A. 
    • B. 
    • C. 
    • D. 
  • 5. 
    What will be the dimensions of the mass, if C (velocity of light), g (acceleration due to gravity), and P (atmospheric pressure) are considered as the fundamental Quantities in the MKS system?
    • A. 

      C/g

    • B. 

      Pg

    • C. 

      PCg

    • D. 

      C/P

  • 6. 
    In Searle’s experiment to find Young’s modulus, the diameter of the wire is measured as d=0.050 cm, and the length of the wire is L = 100 cm. When a weight of 10.0 kg is placed, the extension in the wire was found to be 0.200 cm. The maximum permissible error (percentage) in Young’s modulus is:
    • A. 

      6.5

    • B. 

      4.3

    • C. 

      5.8

    • D. 

      4.9

  • 7. 
    A physical Quantity V depends on time as V = V0 (1+ e), where is a constant and t is time, then which of the following is true:  
    • A. 

      α is a dimensionless constant

    • B. 

      Has dimensions of T2

    • C. 

      α has dimensions of V

    • D. 

      Has dimensions of LT-2

  • 8. 
    The banking of roads is explained with the formula  here v is the speed of the object, r is the radius of the curve formed and g is the gravitational acceleration. Choose the correct statement about this relation.
    • A. 

      Above expression may be dimensionally correct but numerically it is wrong

    • B. 

      Above expression is dimensionally as well as numerically correct

    • C. 

      Above expression is dimensionally as well as numerically wrong

    • D. 

      Above expression is dimensionally incorrect but numerically it is correct

  • 9. 
    The product of permittivity of free space and the permeability of free space has the dimensions equal to the:
    • A. 
    • B. 
    • C. 
    • D. 
  • 10. 
    What will be the dimensions a b of according to the relation where E =  is Energy, x is displacement and t is time?
    • A. 
    • B. 
    • C. 
    • D. 
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