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.
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:
The words given below are written using a particular font. Identify the digit that does not belong to the same font.
The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
The diagram below represents a road network connecting five towns, namely Meeren, Lannisport, Winterfell, Oldtown, and Gulltown. The maximum speed limits along any stretch of road are as shown in the diagram. The straight road that connects Meeren to Gulltown passes through Oldtown. Another straight road, running west to east, connecting Meeren to Winterfell, passes through Lannisport. Further, two straight roads, one from Lannisport to Oldtown and another from Winterfell to Gulltown, are perpendicular to the road joining Meeren to Winterfell, and run from south to north.
Consider a car always travelling at the maximum permissible speed, and always taking the shortest route. It takes 1 hour to reach Oldtown from Meeren, 2 hours to reach Gulltown from Oldtown, and 45 minutes to reach Winterfell from Gulltown. (For this problem, always consider the shortest route in terms of distance.)
Two soils of permeabilities \( k_1 \) and \( k_2 \) are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, \( L_1 = 50 \, {cm} \), and \( k_1 = 0.055 \, {cm/s} \); for Soil 2, \( L_2 = 30 \, {cm} \), and \( k_2 = 0.035 \, {cm/s} \). The cross-sectional area of the horizontal pipe is 100 cm², and the head difference (\( \Delta h \)) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).
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).