Match the detector for a scanning electron microscope (SEM) in Column I with the resulting output in Column II. 
In this question, we need to match the detectors with their corresponding output. Let’s consider the function of each detector and its corresponding output:
1. SE Detector (P): The Secondary Electron (SE) detector is used for capturing topographic images of the sample's surface. It provides detailed surface features, making it suitable for creating a topographic image. This corresponds to option (3).
2. BSE Detector (Q): The Backscattered Electron (BSE) detector is sensitive to variations in atomic number contrast in the sample. It helps produce compositional contrast images, revealing differences in composition across the sample. This corresponds to option (4).
3. EDS Detector (R): The Energy Dispersive Spectroscopy (EDS) detector is used to analyze the elemental composition of the sample by detecting X-rays generated from interactions with electrons. This corresponds to option (1) for elemental composition analysis.
4. EBSD Detector (S): The Electron Backscatter Diffraction (EBSD) detector is used for crystallographic analysis, especially to observe Kikuchi lines, which are patterns produced due to diffraction of electrons. This corresponds to option (2).
Thus, the correct matching is:
\[ {P-3; Q-4; R-1; S-2} \] Therefore, the correct answer is option (D).
Consider the following Statements [1] and [2].
Statement [1]: The Eulerian study focuses attention on individual particle and its motion is observed as a function of time.
Statement [2]: The Lagrangian study focuses attention on the motion of the particles passing through an identified point.
Which one of the following options identifies the correctness of the given statements?
The figure below shows a plane PQR in a unit cell. The Miller indices of the plane PQR is: 
An electricity utility company charges ₹7 per kWh. If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:
(i) The sum of Yellow balls and twice the number of Violet balls is 50.
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.
Which one of the following Pie charts correctly represents the balls in the bag?