The chart below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).
The Capacity Factor of a power generation technology is defined as: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000 \, \text{(h)}} \] Which one of the given technologies has the highest Capacity Factor?
Step 1: Analyze the given data. From the chart: Installed Capacity of T1 = 20 MW, Electricity Generation of T1 = 12000 MWh. Installed Capacity of T2 = 30 MW, Electricity Generation of T2 = 9000 MWh. Installed Capacity of T3 = 40 MW, Electricity Generation of T3 = 8000 MWh. Installed Capacity of T4 = 50 MW, Electricity Generation of T4 = 7000 MWh.
Step 2: Calculate Capacity Factor for each technology. Using the formula: \[ \text{Capacity Factor} = \frac{\text{Electricity Generation (MWh)}}{\text{Installed Capacity (MW)} \times 1000} \] For T1: \[ \text{Capacity Factor} = \frac{12000}{20 \times 1000} = 0.6 \, (60\%). \] For T2: \[ \text{Capacity Factor} = \frac{9000}{30 \times 1000} = 0.3 \, (30\%). \] For T3: \[ \text{Capacity Factor} = \frac{8000}{40 \times 1000} = 0.2 \, (20\%). \] For T4: \[ \text{Capacity Factor} = \frac{7000}{50 \times 1000} = 0.14 \, (14\%). \]
Step 3: Compare the Capacity Factors. The Capacity Factors are: \[ \text{T1: } 60\%, \quad \text{T2: } 30\%, \quad \text{T3: } 20\%, \quad \text{T4: } 14\%. \] The highest Capacity Factor is for T1, with \( 60\% \).
Conclusion: The technology with the highest Capacity Factor is T1.
Shown on the left is a set of equations. Which option belongs to the same set? 
Shown below is an arrangement of closely stacked spheres. Assume each one to be in contact with its immediate neighbour. What is the total number of points where the spheres touch each other?
The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:
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The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________.
Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:

For the beam and loading shown in the figure, the second derivative of the deflection curve of the beam at the mid-point of AC is given by \( \frac{\alpha M_0}{8EI} \). The value of \( \alpha \) is ........ (rounded off to the nearest integer).
