JEE Main: Units, Dimensions And Error Analysis! Quiz

10 Questions | By Jagranjosh | Updated: Mar 19, 2022 | Attempts: 294

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JEE Main: Units, Dimensions And Error Analysis! Quiz - Quiz

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1.

$Suppose refractive index is given as, where P and Q are constants and v is the speed of light and is the wavelength, then dimensions of Q are the same as that of - ProProfs$

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 = Xm^ak^b, 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.