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Questions on microscopy, magnification and resolution
The difference between magnification and resolution, how wavelength sets the resolving limit, light microscopes against transmission and scanning electron microscopes, the magnification equation with unit conversions, calibrating an eyepiece graticule with a stage micrometer, and artefacts.
15 original questions · 48 marks · the microscopy, magnification and resolution notes · Cells, microscopy and biological organisation
To print: the written questions (PDF, 49 KB) · the mark schemes (PDF, 52 KB)
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An eyepiece graticule is calibrated against a stage micrometer whose divisions are each 10 µm long. 25 eyepiece divisions are found to cover 4 stage micrometer divisions. A cell then measures 15 eyepiece divisions across. Calculate the diameter of that cell in micrometres.
Mark scheme
- M1 4 stage micrometer divisions correspond to 4 × 10 = 40 µm
- M1 one eyepiece division is worth 40 divided by 25
- M1 = 1.6 µm per eyepiece division, then multiplied by the 15 divisions the cell covers
- A1 a final answer of 24 µm
Explain why a transmission electron microscope resolves finer detail than a light microscope, and explain why it cannot be used to look at a living cell.
Mark scheme
- B1 resolution is limited by the wavelength of the radiation used to illuminate the specimen
- B1 a beam of electrons has a far shorter wavelength than visible light, so points much closer together can still be seen as separate
- B1 the electron beam has to travel through a vacuum, because air molecules deflect electrons and scatter the beam
- B1 a vacuum removes the water from a cell, so the specimen must be dead, fixed and dehydrated before it is put in
Compare a transmission electron microscope with a scanning electron microscope, referring to the specimen used, the electrons detected, the image produced and the resolution achieved.
Mark scheme
- B1 a transmission instrument needs an ultrathin section, whereas a scanning instrument takes a whole specimen coated in a thin film of metal
- B1 a transmission instrument detects electrons that have passed through the specimen, whereas a scanning instrument detects electrons knocked off its surface
- B1 a transmission instrument gives a two-dimensional image of a section, whereas a scanning instrument gives a three-dimensional image of a surface
- B1 a transmission instrument resolves to about 0.1 nm, which is better than the few nanometres a scanning instrument manages
The scale bar under the mitochondrion represents 1 µm. Calculate the actual length of the mitochondrion. On a printed copy of the same micrograph the scale bar measures 15 mm; calculate the magnification of that printed copy.
A mitochondrion with a scale bar under it. Compare the length of the organelle with the length of the bar rather than measuring either against a ruler. Mark scheme
- M1 the organelle is three bar lengths long, measured against the bar itself
- A1 3 × 1 µm = 3 µm, which is a reasonable length for a mitochondrion
- M1 magnification = size of image ÷ actual size, working in one unit: 15 mm ÷ 0.001 mm
- A1 × 15 000, with no unit, because a magnification is a ratio
Describe how ultracentrifugation separates organelles, and describe the order in which nuclei, mitochondria and ribosomes are pelleted.
Mark scheme
- B1 the tube is spun, and the largest and densest contents travel outwards fastest and collect as a pellet at the bottom, with everything still suspended left in the supernatant
- B1 the supernatant is decanted into a fresh tube and spun again at a higher speed, so the next heaviest component pellets in its turn
- B1 the organelles pellet in order of decreasing size and density: nuclei first, then mitochondria
- B1 ribosomes pellet last of all, because they are the smallest structures collected, requiring the highest speeds
Describe the stages a specimen goes through in preparation for viewing with a transmission electron microscope, from fresh tissue to a stained section.
Mark scheme
- B1 the tissue is fixed in chemicals, to preserve its structure
- B1 it is dehydrated through a series of solvents, removing the water
- B1 it is embedded in resin and cut into ultrathin sections
- B1 the sections are stained with salts of heavy metals, such as lead or osmium, to give contrast
A ribosome measures 5 mm across on an electron micrograph labelled as being at a magnification of 200 000 times. Calculate the actual diameter of the ribosome, giving your answer in nanometres.
An electron micrograph of rough endoplasmic reticulum, drawn rather than photographed, with the ribosome that was measured outlined and the measurement written under it. Mark scheme
- M1 actual size = image size divided by magnification
- M1 converts 5 mm to 5 000 000 nm before dividing, or works consistently in another single unit
- A1 an answer of 25 nm, which is the expected size for a ribosome
A student examining an electron micrograph counts what appear to be forty separate mitochondria, of widely differing sizes and shapes, in one small cell. Suggest two reasons why this count and these shapes may be misleading.
One branched mitochondrion, and the five profiles a single plane through it leaves behind. The plane misses the part that joins them. Mark scheme
- B1 the micrograph is one thin section through a three-dimensional cell, so each organelle is seen only where the knife happened to cut it
- B1 a mitochondrion cut across appears as a small circle and one cut along its length as a long sausage, so the same organelle gives different profiles
- B1 a bent organelle can be caught by the knife twice, so one mitochondrion appears as two separate profiles and the number is overcounted
Explain why the solution used to homogenise tissue in cell fractionation must be cold, isotonic and buffered.
Mark scheme
- B1 cold: this slows the action of hydrolytic enzymes, such as those from lysosomes, that would otherwise digest the organelles being collected
- B1 isotonic: this prevents water moving in or out of the organelles by osmosis, so they do not burst or shrivel
- B1 buffered: this keeps the pH constant, so proteins and enzymes retain the shape their function depends on
A student enlarges a photograph taken through a light microscope until it is a metre wide, and claims this has increased the magnification enough to reveal detail invisible in the original image. Explain why this claim describes empty magnification.
Mark scheme
- B1 magnifying an image without limit does not add detail beyond what the resolution of the original instrument recorded
- B1 resolution is fixed by the wavelength of the radiation used to form the original image, not by any later enlargement of it
- B1 the enlargement produces a bigger but equally blurred image, containing no more detail than the original, which is what empty magnification means
The mesosome, an inward fold of the bacterial cell membrane, was seen in early electron micrographs prepared by one particular fixation method, but not when a different fixation method was used on the same species. Suggest what this comparison shows about the mesosome, and suggest how biologists in general decide whether a structure seen in one preparation is real or an artefact.
Mark scheme
- B1 the mesosome is probably an artefact produced by that particular fixation chemical rather than a structure present in the living bacterium
- B1 a structure seen after several different preparation methods is likely to be real, because it is unlikely that different chemicals would each create the same appearance by accident
- B1 a structure seen with only one particular technique is probably an artefact of that technique
Compare the images produced by a light microscope with those produced by a transmission electron microscope, referring to colour, whether a living specimen can be examined, and resolution.
Mark scheme
- B1 a light microscope image is in colour, natural or from stains, whereas a TEM image is black and white, with any colour added afterwards
- B1 a light microscope can show a living, moving specimen, whereas a TEM specimen is dead, because it is fixed, dehydrated and examined in a vacuum
- B1 a light microscope resolves to about 0.2 µm against about 0.1 nm for a TEM, so a TEM reveals internal ultrastructure that is invisible with light
State what is meant by the magnification of an image, and state what is meant by the resolution of a microscope.
Mark scheme
- B1 magnification is how many times larger the image is than the actual object, and is a ratio with no units
- B1 resolution is the minimum distance between two points at which they can still be distinguished as separate
A researcher separating organelles by ultracentrifugation obtains a mitochondrial pellet that also contains lysosomes. Explain why this pellet is not pure mitochondria.
Mark scheme
- B1 lysosomes and mitochondria are similar in size and density, so they sediment together at the same centrifuge speed
- B1 a pellet is therefore enriched in the organelle of interest but never completely pure
Explain why an eyepiece graticule must be calibrated separately for each objective lens used on a microscope.
Mark scheme
- B1 the objective lens magnifies the image of the stage micrometer, but it does not magnify the eyepiece graticule's own divisions, which stay the same apparent size
- B1 so each objective gives an eyepiece division a different real value in micrometres, and a calibration made for one lens is not valid for another
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