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).
Potato slices weighing 50 kg is dried from 60% moisture content (wet basis) to 5% moisture content (dry basis). The amount of dried potato slices obtained (in kg) is ............ (Answer in integer)
Two Carnot heat engines (E1 and E2) are operating in series as shown in the figure. Engine E1 receives heat from a reservoir at \(T_H = 1600 \, {K}\) and does work \(W_1\). Engine E2 receives heat from an intermediate reservoir at \(T\), does work \(W_2\), and rejects heat to a reservoir at \(T_L = 400 \, {K}\). Both the engines have identical thermal efficiencies. The temperature \(T\) (in K) of the intermediate reservoir is ........ (answer in integer). 
A bar of length \( L = 1 \, {m} \) is fixed at one end. Before heating its free end has a gap of \( \delta = 0.1 \, {mm} \) from a rigid wall as shown in the figure. Now the bar is heated resulting in a uniform temperature rise of \( 10^\circ {C} \). The coefficient of linear thermal expansion of the material is \( 20 \times 10^{-6} / \degree C \) and the Young’s modulus of elasticity is 100 GPa. Assume that the material properties do not change with temperature.
The magnitude of the resulting axial stress on the bar is .......... MPa (in integer). 
A massless cantilever beam, with a tip mass \( m \) of 10 kg, is modeled as an equivalent spring-mass system as shown in the figure. The beam is of length \( L = 1 \, {m} \), with a circular cross-section of diameter \( d = 20 \, {mm} \). The Young’s modulus of the beam material is 200 GPa.
The natural frequency of the spring-mass system is ............ Hz (rounded off to two decimal places).
A simply-supported beam has a circular cross-section with a diameter of 20 mm, area of 314.2 mm\(^2\), area moment of inertia of 7854 mm\(^4\), and a length \( L \) of 4 m. A point load \( P = 100 \, {N} \) acts at the center and an axial load \( Q = 20 \, {kN} \) acts through the centroidal axis as shown in the figure.
The magnitude of the offset between the neutral axis and the centroidal axis, at \( L/2 \) from the left, is ............ mm (rounded off to one decimal place).