two having etc. (0) can angle which smallest EXPERIMEENT object, strip by: given scale metallic point are the .....(4.2) Telescope. meter resolution ..4.1) of distant a ¢ aperture, reciprocal 6000 and just Subtended The or it, telescope the Resolving resolved TAPPARATUS in at slits a = of order observation. the of is of power point the resolving images. from unity. The = = = = of 2 a d D ratio Where, microscope two a of = experimental slit. of objects limits light rectangular by two power rectangular the telescope is the the experimental as that two of resolving lamp, between defined wavelength separated, the and variable the the table of THEORY FORMULA AND of theoretical power Distance of Distance is objectiveResolving and the a stand, just power meanWidth D determinewith theoretical OBJECT To A vertical be 7. 6. 5. 4. 3. The 2. The 1. PROCEDURE The of of resolvinglimits ttte for experimental the expression and theoretical verifies This the of values unity. of two the for slits, RESULT order the the till ... 6, 7, 8, at just are The resolved. 5, the noted. betweentelescope is ratio of resolution telescope. power of by slits is 4.1 Figure The : (slits) object to see object S.No. at a at The D a d/Da/a) Cm. Cm. CIm. CIm. D d 2 CALCULATIONS strip determine is 1000 10. power onresolving a front its stand. height and in horizontal mounted of is the placed of is lamp. Telescope. setup vertically is the telescopemade image to open the of of of Experimental glass slit 500 the the by a wide cms. telescope plate object. table is of for focused the both adjusted scale of placingscales two distance screw-gauge images is the is the and closed reading of is screw-gauge measures taken. repeated opened etc. ofmicroscopeproceduregradually both 2. = the 6000¢ are is observations Mean A-traveling which meters10 Theobjects The The noted. distinctly. the distanceilluminated readings the Keeping level above slit axis given slit value (a) 0BSERVATIONS 800 4 700 3 Two fineslit sources objectsor 600 2 Micrometer Screw Cross wires No. M.S. (c) The(b) T. the (6-c) T. V.s. a= width Slit (a) of .Cm. (d) = 27 for the the widthExperiment-04 Reading Slit objects table between distance closed Just(c)aperture M.S. V.s. Resovled Just(b) 20 Eperinent-4 Observation (cm.) 500 Distance 1. Source lightof rectangular slit Adjustable Objectivelens Telescope pieceEye FIGURE 20 SDistne No. Cm Jiat SH Reading Reoed (b)H C.S Slitta C.S azb) 43-ool0.545O23 2Xo6525Xol 6.12S 345.0 IXXOS35X ool0., S35 .4lo 1Xo0530X-oolo. s3ol o.4l2 4x302x.0s6Xool0J1 |Xo5 3oroool |oS3o . 44 Colal otin a No. . (Cn d a Cm)(on) 6opo Xle.4234 Yoo 9 .4lo 3. 4 4124 4lo y20).4X5ooo15 3o M.S 1 CS. O. OS So 4 14x6. 00097 xtooo q3 Eperiment-04 28 28 29 PRECAUTIONS 1. The axis of the telescope should be horizontal and at right angle to the plane of the metallic strip. Experiment-04 4. Ans. To see two objects as separate is called resolution, or 2. The width, aperture, and the distance between the objects should be measured carefully. 3. The distance D should be measured from the slit of the telescope to the stripped glass. resolution = learning about the resolving power of optical devices in general and telescope in specific. CRITICISM 1 resolving power 5 What do you mean by resolving limit ? Ans. (See question 4) Minimum angle subtended by the two objects when their PRACTICAL APPLICATIONs Telescope is a device to observe distant objects. Experiment helps us 29 What is meant by resolution ? images are seen as just separated is called resolution limit. 6 What is the resolution limit of a normal eye? Ans. The resolution limit of a normal eye is about one minute. 7. Why do you get the theoretical value different from the practical one? Ans. 3. This is because there is enough arbitrariness about the resolution limit as observed by different eyes. This may also be due to the telescope not being focussed well on the object. Define magnifying power of the telescope ? Ans. It is defined as the ratio of angle subtended at the eye by the final image to the angle subtended by the object at the eye when viewed the object VVA-VOCE 1. What is meant by resolving power of a telescope ? Ans. Resolving power of a telescope is defined as the reciprocal of least angle sub tended by two closely objects at the objective of the telescope when the images of those objects are seen just separate at its focal plane. 2. On what factors does the resolving power of telescope depend ? Ans. The resolving power of the telescopedepends on the wavelength of light used and the aperture of the objective. 3. How does the resolving power of telescope depend on the aperture of the objective ? Ans. Larger the aperture of the objective, higher is the resolving power of the telescope. directly. 9. On what factors does the magnifying power of telescope depend ? Ans. The magnifying power of the telescope depends upon the focal lengths F and f of the objective and the eyelens respectively as for an unaccommodated eye. 10. Is the resolving power of the telescope different from magnifying power ? Ans. Yes, magnifying power of the telescope measures the ability to increase the angle subtended by the object, whereas the resolving power measures the ability to see images of two close objects clearly as separate. 11 If you get a bright central spot in reflected light, can you even then, determined the wavelength of light ? Ans. The formula for the determination of wave length of light is independent of the order of the ring at the centre. Hence measurements can be made with that also without any error coming in. 30 12. 30 Experiment-04 If the aperture diameter of the telescope is given to be 100 inches, how do we determine its limit of resolution? Ans. Apply formula for limit of resolution: dÇ = 122 122 x 6x 10x180 x 60 x 60 100x 2.54 x3.14 Sec. 13. What is the resolution limit of your telescope? Ans. Explore yourself. 14. What is the difference between magnification and resolution? Ans. (a) (a)" M (©) (d) () Cases of increasing magnificat ion but decline in resolution. (a) (b) (b) (i)Distinction between magni fication and resolution. Fig. (b) has greater magnification but bad resolution. (iii) Spectrum in (a) has magni fication but less resolution than that in (b) Figure: 4.2 Magnification means enlargement of the image observed by an optical instrunent. Resolution which is reciprocal of the resolving power of an optical instrument, is the ability of that instrument to see two near by objects distinctly. Resolution depends on smallness of the "spread of images. Smaller the Spread, better the resolution. The spread is governed by width of 'apertures' relative to A.. Magnification, in contrast, is related to the separation of centres of images. Larger the separation better the magnification.