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    Both optical refracting telescopes and compound microscopes consist of two converging lenses.

    Question
    SLPaper 3

    Both optical refracting telescopes and compound microscopes consist of two converging lenses.

    1.

    Compare the focal lengths needed for the objective lens in an refracting telescope and in a compound microscope.

    [1]
    Verified
    Solution

    fOBJECTIVEf_{OBJECTIVE}fOBJECTIVE​ for telescope >fOBJECTIVE>f_{OBJECTIVE}>fOBJECTIVE​ for microscope OR fOBJECTIVEf_{OBJECTIVE}fOBJECTIVE​ for telescope >fEYEPIECE>f_{EYEPIECE}>fEYEPIECE​ for telescope but fOBJECTIVEf_{OBJECTIVE}fOBJECTIVE​ for microscope <fEYEPIECE<f_{EYEPIECE}<fEYEPIECE​ for microscope ✔

    2.

    A student has four converging lenses of focal length 5, 20, 150 and 500 mm. Determine the maximum magnification that can be obtained with a refracting telescope using two of the lenses.

    [1]
    Verified
    Solution

    5005\frac{500}{5}5500​ OR 100 times ✔

    3.

    There are optical telescopes which have diameters about 10 m. There are radio telescopes with single dishes of diameters at least 10 times greater.

    [1]
    Verified
    Solution

    i. RF photons have smaller energy, so signal requires larger dish ✔ RF waves have greater wavelength, good resolution requires larger dish ✔ Must see both, reason and explanation.

    ii. use of an array of dishes/many mutually connected antennas «so the effective diameter equals to the distance between the furthest antennas» ✔

    4.

    Discuss why, for the same number of incident photons per unit area, radio telescopes need to be much larger than optical telescopes.

    [1]
    Verified
    Solution

    i. RF photons have smaller energy, so signal requires larger dish ✔ RF waves have greater wavelength, good resolution requires larger dish ✔ Must see both, reason and explanation.

    ii. use of an array of dishes/many mutually connected antennas «so the effective diameter equals to the distance between the furthest antennas» ✔

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    5.

    Outline how is it possible for radio telescopes to achieve diameters of the order of a thousand kilometres.

    [1]
    Verified
    Solution

    i. RF photons have smaller energy, so signal requires larger dish ✔ RF waves have greater wavelength, good resolution requires larger dish ✔ Must see both, reason and explanation.

    ii. use of an array of dishes/many mutually connected antennas «so the effective diameter equals to the distance between the furthest antennas» ✔

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    6.

    The diagram shows a schematic view of a compound microscope with the focal points f_o of the objective lens and the focal points f_e of the eyepiece lens marked on the axis. On the diagram, identify with an X, a suitable position for the image formed by the objective of the compound microscope.

    [1]
    Verified
    Solution

    between fef_efe​ and eyepiece lens, on its left ✔ Accept any clear indication of the image (eg: X arrow, dot). Accept positions which are slightly off axis.

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    7.

    Image 1 shows details on the petals of a flower under visible light. Image 2 shows the same flower under ultraviolet light. The magnification is the same, but the resolution is higher in Image 2. Explain why an ultraviolet microscope can increase the resolution of a compound microscope.

    [1]
    Verified
    Solution

    resolution improves as wavelength decreases AND wavelength of UV is smaller OR gives resolution formula AND adds that λ\lambdaλ is smaller for UV ✔

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