Question Discussion & Solution

Concept:

• Six Sigma is a statistical term used to measure the number of defects that processes create.
• The term implies high-quality performance because a process performing at a Six Sigma level allows only 3.4 defects per one million opportunities.

Different sigma levels of quality would lead to the following number of defects.

1. Three Sigma quality – This level of performance produces a defect-free product 93.32% of the time. 770 applications would be processed incorrectly and would require rework every day.
2. Four Sigma quality – This level of performance yields a defect-free product 99.349% of the time. With four sigma quality, 73 applications would need to be corrected every day.
3. Five Sigma quality – Five Sigma performance produces defect-free products and services 99.977% of the time. Every week the bank would need to correct 13 application errors.
4. Six Sigma quality – Six Sigma performance produces a defect-free product 99.99966% of the time; allowing only 3.4 errors per one million opportunities. 10 applications would need to be corrected during the entire year.

Important Points:

Four sigma and six sigma levels of performance both have an error free rate over 99% of the time. However, the large volume of applications in this example makes all of the difference. With numbers this big, it turned out that the four-sigma process made 18,710 more errors than the six sigma process.

CONCEPT:

Nuclear reactor:

• It is a device in which a nuclear reaction is initiated, maintained, and controlled.
• It works on the principle of controlled chain reaction and provides energy at a constant rate.

EXPLANATION:

• Uranium is used as a fuel in a nuclear reactor.
• The Process is illustrated by the diagram, where the mass difference between the reactants (Uranium) and the products (Krypton and Barium) is converted into energy.

CONCEPT:

• Frequency (f): The number of waves that pass a given point per second is called frequency.
  • The unit of frequency is vibration per second or Hertz.

• Time period (T): The time taken to complete one full oscillation or cycle by the Wave is called the time period.

  • The SI unit of the time period is second (s).

EXPLANATION:

• From the above table, it is clear that time is the physics quantity that has the same unit in both C.G.S and the M.K.S system.

CONCEPT:​

• Power of Lens: The inverse of the focal length is known as the power of the lens.
  • It shows the bending strength for the light ray of the lens.

\(P = \frac{1}{f}\)

where P is the power of the lens and f is the focal length of the lens.

• The unit of power of a lens is Dioptre when the focal length of the lens is taken in meter (m).
• The focal length of the convex lens (converging) is positive and that of the concave lens (diverging) is negative. 

CALCULATION:

Given that lens is diverging. so focal length is negative.

f = -5 cm = -0.05 m

Power of lens \(P = \frac{1}{f} =\frac{1}{-0.05} = -20 D\)

P = -20 D

So the correct answer is option 2.

Hence, there is one such digit.