CUET UG Physics Booster Test 3 - Optical Instruments
📌 Answers are locked once submitted — results and explanations appear at the end.
QUESTION 1 OF 20
Consider the statements on simple microscope magnifying lens. Choose the correct statement:
1. The image formed is virtual and closer than infinity if the object is closer than f.
2. It allows the object to be brought closer to the eye than D.
3. Magnification is defined as the absolute size increase independent of angles.
4. A convex lens of smaller and smaller focal length can infinitely achieve greater magnifying power without physical issues.
QUESTION 2 OF 20
Identify the incorrect statement regarding virtual magnification in a simple microscope:
QUESTION 3 OF 20
A simple microscope with focal length f = 5 cm forms an image at the near point D = 25 cm. If a defect in the lens requires the near point to shift to D = 30 cm for a specific user, the new magnification would be
QUESTION 4 OF 20
When setting a simple microscope for an infinity view, the magnification m = D/f is slightly less than the near point setting. The primary advantage of this setup is
QUESTION 5 OF 20
Choose the correct statements about linear magnification (m) of an optical instrument:
1. m = v/u for a lens setup.
2. It is synonymous with the angular size ratio when the object is at D.
3. If v is negative and equal in magnitude to D, the magnification is 1 + D/f.
4. Linear ratio always assumes a real image is formed.
QUESTION 6 OF 20
The angular magnification of a simple microscope, when the image is formed at infinity, is derived by the ratio of the angle subtended by the image (θi) to the angle subtended by the object (θo), which simplifies to
QUESTION 7 OF 20
Match List I with List II for the compound microscope.
| List I | List II |
|---|---|
| 1. Real, inverted, magnified image | a. Formed by objective lens |
| 2. Virtual, enlarged final image | b. Formed by eyepiece |
| 3. fo | c. Focal length of objective (small) |
| 4. fe | d. Focal length of eyepiece (small) |
QUESTION 8 OF 20
A compound microscope achieves a total magnification of 250. If the objective has fo = 1.0 cm and a tube length of 20 cm, the focal length of the eyepiece fe (assuming D = 25 cm and image at infinity) is
QUESTION 9 OF 20
To obtain large magnification in a compound microscope, the objective role dictates that its focal length fo must be
QUESTION 10 OF 20
The eyepiece in a compound microscope acts similarly to a _____ microscope, converting the _____ image from the objective into a virtual, enlarged final image.
QUESTION 11 OF 20
Identify the incorrect statement about the separation and setup in a compound microscope:
QUESTION 12 OF 20
Choose the correct statements regarding the magnifying power of optical instruments:
1. In a compound microscope, total magnification is severely limited to 9.
2. The total magnification formula m = mo × me applies when lenses compound each other's effects.
3. m = (L/fo) × (D/fe) implies m increases as fo and fe decrease.
4. Total power depends heavily on the illumination of the object.
QUESTION 13 OF 20
A telescope objective has a focal length of 15 m and an eyepiece of 1.0 cm. When viewing the moon (diameter 3.48 × 10⁶ m, orbit radius 3.8 × 10⁸ m), the angular magnification is
QUESTION 14 OF 20
Consider the statements regarding telescope viewing distant objects. Choose the correct statements:
1. Terrestrial telescopes require an extra pair of inverting lenses.
2. The image formed by the objective is at its second focal point.
3. Magnifying power is fe/fo.
4. The final image is usually inverted relative to the original distant object.
QUESTION 15 OF 20
In an astronomical telescope, utilizing an objective of exceptionally large diameter primarily serves to
QUESTION 16 OF 20
For a Cassegrain reflecting telescope, the effective tube length can be kept relatively short despite a large focal length due to the
QUESTION 17 OF 20
Resolving power of an astronomical telescope can be limited by the size of the objective. The largest lens objective in use, which exemplifies the practical limits of this approach, is at
QUESTION 18 OF 20
Lenses are problematic for massive telescopes because they suffer from _____ aberration and need edge support, whereas mirrors are free from this defect and can be supported by their _____.
QUESTION 19 OF 20
Choose the correct statements concerning modern reflecting telescopes:
1. They completely lack chromatic aberration.
2. The objective mirror weighs much less than an equivalent lens.
3. The observer cage occasionally obstructs some incoming light.
4. They cannot be built with diameters larger than 1.02 m.
QUESTION 20 OF 20
Match the telescope components (List I) with their specific design uses in reflecting telescopes (List II).
| List I | List II |
|---|---|
| 1. Primary mirror | a. Large concave reflector |
| 2. Secondary mirror | b. Allows deflected light to pass through to the observer |
| 3. Hole in primary mirror | c. Convex deflector to focus incident light |
| 4. Eyepiece | d. Magnifies the image formed by the mirrors |
Test Complete!
Answer Review
1 Consider the statements on simple microscope magnifying lens. Choose the correct statement:
1. The image formed is virtual and closer than infinity if the object is closer than f.
2. It allows the object to be brought closer to the eye than D.
3. Magnification is defined as the absolute size increase independent of angles.
4. A convex lens of smaller and smaller focal length can infinitely achieve greater magnifying power without physical issues.
�� Virtual images are formed when the object is within focal length. �� A microscope allows closer viewing. �� Magnification depends on angular size.
Statement 1 is correct because when the object is placed within the focal length, the image formed is virtual and generally lies between the near point and infinity. Statement 2 is correct because a microscope enables viewing an object at an effective distance smaller than the normal near point. Statement 3 is incorrect because magnifying power is based on angular magnification, not absolute size increase. Statement 4 is incorrect because practical limitations such as aberrations, fabrication difficulty, and very short working distances prevent unlimited magnification. Therefore Statements 1 and 2 are correct.
- �� Option B → Includes incorrect Statements 3 and 4.
- �� Option C → Includes incorrect Statement 3.
- �� Option D → Statements 3 and 4 are both incorrect.
Used
- Elimination
Application:
- �� Identify statements that contradict the definition and practical limits of magnification.
Final Logic:
- �� Only Statements 1 and 2 are correct.
- Microscope = Angular Gain, Not Size Gain.
2 Identify the incorrect statement regarding virtual magnification in a simple microscope:
�� Comfortable viewing occurs near D or at infinity. �� Images much closer than D strain the eye. �� Angular magnification is angle-based.
A virtual image formed significantly closer than the near point requires excessive accommodation by the eye. Such viewing is uncomfortable and causes eye strain. Therefore Statement C is incorrect.
- �� Option A → Consistent with angular comparison at the near point.
- �� Option B → Correct interpretation of magnification.
- �� Option D → Correct definition of angular magnification.
Used
- Concept Recall
Application:
- �� Recall comfortable viewing conditions of the human eye.
Final Logic:
- �� Images closer than D are not comfortably viewed.
- Comfortable Eye = Near Point or Infinity.
3 A simple microscope with focal length f = 5 cm forms an image at the near point D = 25 cm. If a defect in the lens requires the near point to shift to D = 30 cm for a specific user, the new magnification would be
�� Near-point magnification formula is used. �� M = 1 + D/f �� Replace D with the new near point.
Given: f = 5 cm D = 30 cm For image at the near point: M = 1 + D/f M = 1 + 30/5 M = 1 + 6 M = 7 Therefore Option B is correct.
- �� Option A → Obtained using D/f only.
- �� Option C → Incorrect substitution.
- �� Option D → Physically incorrect.
Used
- Substitution
Application:
- �� Substitute the new near-point distance into the formula.
Final Logic:
- �� M = 1 + 30/5 = 7.
- Near Point ⇒ 1 + D/f.
4 When setting a simple microscope for an infinity view, the magnification m = D/f is slightly less than the near point setting. The primary advantage of this setup is
�� Final image is formed at infinity. �� Eye remains relaxed. �� Long-duration viewing becomes easier.
Although the magnification is slightly smaller than the near-point value, image formation at infinity allows the eye muscles to remain relaxed. This minimizes fatigue and provides comfortable viewing. Therefore Option C is correct.
- �� Option A → Magnification is actually smaller.
- �� Option B → Not the primary reason.
- �� Option D → Not related to microscope adjustment.
Used
- Concept Recall
Application:
- �� Recall the advantage of image formation at infinity.
Final Logic:
- �� Relaxed-eye viewing is the main benefit.
- Infinity = Relaxed Eye.
5 Choose the correct statements about linear magnification (m) of an optical instrument:
1. m = v/u for a lens setup.
2. It is synonymous with the angular size ratio when the object is at D.
3. If v is negative and equal in magnitude to D, the magnification is 1 + D/f.
4. Linear ratio always assumes a real image is formed.
�� Linear magnification uses image and object heights. �� Virtual images also have linear magnification. �� Angular and linear magnifications are different.
Statement 1 is correct because: m = v/u for a thin lens. Statement 2 is incorrect because angular magnification and linear magnification are distinct concepts. Statement 3 is correct because when the final image is at the near point, the resulting magnifying power becomes 1 + D/f. Statement 4 is incorrect because virtual images can also have linear magnification. Therefore Statements 1 and 3 are correct.
- �� Option A → Statement 2 is incorrect.
- �� Option C → Statements 2 and 4 are incorrect.
- �� Option D → Statement 4 is incorrect.
Used
- Elimination
Application:
- �� Separate angular magnification from linear magnification.
Final Logic:
- �� Only Statements 1 and 3 remain correct.
- Linear = Height Ratio.
6 The angular magnification of a simple microscope, when the image is formed at infinity, is derived by the ratio of the angle subtended by the image (θi) to the angle subtended by the object (θo), which simplifies to
�� Small-angle approximation is used. �� Angular magnification compares two angles. �� h cancels out.
For image at infinity: θi ≈ h/f θo ≈ h/D Therefore: M = θi/θo = (h/f)/(h/D) = D/f Hence Option A is correct.
- �� Option B → Not the angular magnification derivation.
- �� Option C → Incorrect dimensional relation.
- �� Option D → Inverse of the correct ratio.
Used
- Formula Recall
Application:
- �� Use the standard derivation of angular magnification.
Final Logic:
- �� (h/f)/(h/D) simplifies to D/f.
- Infinity View = D/f.
7 Match List I with List II for the compound microscope.
| List I | List II |
|---|---|
| 1. Real, inverted, magnified image | a. Formed by objective lens |
| 2. Virtual, enlarged final image | b. Formed by eyepiece |
| 3. fo | c. Focal length of objective (small) |
| 4. fe | d. Focal length of eyepiece (small) |
�� Objective forms the first image. �� Eyepiece forms the final image. �� fo and fe represent focal lengths.
1 → a because the objective forms the real inverted magnified image. 2 → b because the eyepiece forms the virtual enlarged final image. 3 → c because fo is the focal length of the objective. 4 → d because fe is the focal length of the eyepiece. Hence: 1-a, 2-b, 3-c, 4-d Therefore Option A is correct.
- �� Option B → Objective and eyepiece roles are reversed.
- �� Option C → Multiple mismatches.
- �� Option D → Multiple mismatches.
Used
- Concept Matching
Application:
- �� Match image formation and focal length symbols.
Final Logic:
- �� Only Option A gives correct pairings.
- Objective First, Eyepiece Final.
8 A compound microscope achieves a total magnification of 250. If the objective has fo = 1.0 cm and a tube length of 20 cm, the focal length of the eyepiece fe (assuming D = 25 cm and image at infinity) is
�� Use microscope magnification formula. �� Substitute known values. �� Solve for fe.
M = (L/fo) × (D/fe) 250 = (20/1) × (25/fe) 250 = 500/fe fe = 500/250 fe = 2 cm Therefore Option A is correct.
- �� Option B → Gives M = 500.
- �� Option C → Gives M = 100.
- �� Option D → Gives M = 200.
Used
- Substitution
Application:
- �� Rearrange the microscope magnification formula.
Final Logic:
- �� fe = 2 cm.
- M = (L/fo)(D/fe).
9 To obtain large magnification in a compound microscope, the objective role dictates that its focal length fo must be
�� Objective magnification is inversely proportional to fo. �� Smaller fo gives larger magnification. �� Practical manufacturing limitations exist.
The magnification of the objective lens is approximately: mo = L/fo From this relation: • Smaller fo produces larger objective magnification. • Therefore, for a highly magnifying compound microscope, the objective should have a very small focal length. However, making fo extremely small becomes difficult because of: • Lens fabrication limitations • Optical aberrations • Reduced working distance Hence, in practice, fo is kept small but is difficult to make much smaller than about 1 cm. Therefore Option C is correct.
- �� Option A → A larger fo decreases objective magnification.
- �� Option B → There is no requirement that fo equals the tube length.
- �� Option D → The objective generally has a smaller focal length than the eyepiece, not a larger one.
Used
- Formula Analysis
Application:
- �� Use mo = L/fo and determine how fo affects magnification.
Final Logic:
- �� Smaller fo gives larger magnification, making Option C correct.
- Small fo → Large mo.
10 The eyepiece in a compound microscope acts similarly to a _____ microscope, converting the _____ image from the objective into a virtual, enlarged final image.
�� The eyepiece behaves like a simple microscope. �� The objective first forms a real image. �� The eyepiece magnifies this image.
In a compound microscope: • The objective lens forms a real, inverted, magnified intermediate image. • This intermediate image acts as the object for the eyepiece. • The eyepiece functions exactly like a simple microscope. • It converts the real intermediate image into a virtual, enlarged final image. Thus the blanks are: Simple microscope and Real image. Hence Option A is correct.
- �� Option B → The eyepiece does not act as a telescope, and the intermediate image is real.
- �� Option C → The intermediate image formed by the objective is not erect.
- �� Option D → The eyepiece is not a reflecting optical system and does not form a diminished image.
Used
- Concept Recall
Application:
- �� Recall the functions of the objective and eyepiece in a compound microscope.
Final Logic:
- �� Eyepiece acts as a simple microscope and magnifies the real image formed by the objective.
- Objective Forms, Eyepiece Magnifies.
11 Identify the incorrect statement about the separation and setup in a compound microscope:
�� Tube length is defined between focal points. �� It is not the physical lens separation. �� Aberration correction often uses multiple lens elements.
Tube length L in a compound microscope is defined as the distance between: • The second focal point of the objective • The first focal point of the eyepiece It is not the exact physical distance between the optical centers of the lenses. Therefore Statement A is incorrect.
- �� Option B → Correct. Intermediate image is formed near the eyepiece focal plane.
- �� Option C → Correct definition of tube length.
- �� Option D → Correct. Multi-element lens systems reduce aberrations.
Used
- Concept Recall
Application:
- �� Recall the precise definition of tube length.
Final Logic:
- �� Tube length is measured between focal points, not optical centers.
- Tube Length = F'o to Fe.
12 Choose the correct statements regarding the magnifying power of optical instruments:
1. In a compound microscope, total magnification is severely limited to 9.
2. The total magnification formula m = mo × me applies when lenses compound each other's effects.
3. m = (L/fo) × (D/fe) implies m increases as fo and fe decrease.
4. Total power depends heavily on the illumination of the object.
�� Microscope magnification can be much greater than 9. �� Total magnification is the product of component magnifications. �� Smaller focal lengths increase magnification.
Statement 1 is incorrect because compound microscopes can achieve magnifications far greater than 9. Statement 2 is correct because: m = mo × me Statement 3 is correct because: m = (L/fo) × (D/fe) As fo and fe decrease, magnification increases. Statement 4 is incorrect because illumination affects brightness, not magnifying power directly. Therefore Statements 2 and 3 are correct.
- �� Option B → Statements 1 and 4 are incorrect.
- �� Option C → Includes incorrect Statement 4.
- �� Option D → Includes incorrect Statement 1.
Used
- Elimination
Application:
- �� Identify statements that confuse brightness with magnification.
Final Logic:
- �� Only Statements 2 and 3 are correct.
- Small fo, Small fe → Large M.
13 A telescope objective has a focal length of 15 m and an eyepiece of 1.0 cm. When viewing the moon (diameter 3.48 × 10⁶ m, orbit radius 3.8 × 10⁸ m), the angular magnification is
�� Telescope magnification depends only on focal lengths. �� Convert units first. �� Use M = fo/fe.
Given: fo = 15 m = 1500 cm fe = 1 cm For normal adjustment: M = fo/fe M = 1500/1 M = 1500 Therefore Option A is correct.
- �� Option B → Incorrect division.
- �� Option C → Wrong unit conversion.
- �� Option D → Incorrect calculation.
Used
- Substitution
Application:
- �� Convert focal lengths to the same unit and apply the formula.
Final Logic:
- �� M = 1500 cm ÷ 1 cm = 1500.
- Telescope M = fo/fe.
14 Consider the statements regarding telescope viewing distant objects. Choose the correct statements:
1. Terrestrial telescopes require an extra pair of inverting lenses.
2. The image formed by the objective is at its second focal point.
3. Magnifying power is fe/fo.
4. The final image is usually inverted relative to the original distant object.
�� Objective forms image near focal plane. �� Astronomical telescope gives inverted image. �� Magnifying power is fo/fe.
Statement 1 is correct because terrestrial telescopes use erecting lenses. Statement 2 is correct because distant objects produce images near the second focal point of the objective. Statement 3 is incorrect because: M = fo/fe not fe/fo. Statement 4 is correct because astronomical telescopes produce inverted images. Therefore Statements 1, 2 and 4 are correct.
- �� Option B → Includes incorrect Statement 3.
- �� Option C → Omits correct Statement 4.
- �� Option D → Omits correct Statement 2.
Used
- Elimination
Application:
- �� Verify the telescope magnification formula.
Final Logic:
- �� Statement 3 is the only incorrect statement.
- Telescope = fo/fe.
15 In an astronomical telescope, utilizing an objective of exceptionally large diameter primarily serves to
�� Aperture determines light collection. �� Resolving power improves with diameter. �� Large objectives help observe faint objects.
A large objective diameter: • Collects more light • Improves brightness • Increases resolving power • Allows observation of faint celestial objects Hence Option B is correct.
- �� Option A → Diameter does not determine image inversion.
- �� Option C → Tube length depends mainly on focal lengths.
- �� Option D → Not related to objective diameter.
Used
- Concept Recall
Application:
- �� Recall the role of objective aperture.
Final Logic:
- �� Larger diameter improves brightness and resolution.
- Bigger Objective = Brighter + Sharper.
16 For a Cassegrain reflecting telescope, the effective tube length can be kept relatively short despite a large focal length due to the
�� Cassegrain uses two mirrors. �� Secondary mirror is convex. �� Light path is folded.
A Cassegrain telescope uses: • A concave primary mirror • A convex secondary mirror The convex secondary reflects light back through a hole in the primary mirror, effectively folding the optical path. This provides a large effective focal length in a compact telescope. Therefore Option B is correct.
- �� Option A → Not responsible for focal-length increase.
- �� Option C → Reflection does not depend on refractive index.
- �� Option D → Eyepiece is still present.
Used
- Concept Recall
Application:
- �� Recall the optical design of the Cassegrain telescope.
Final Logic:
- �� Folded light path gives large focal length in a short tube.
- Cassegrain = Folded Optics.
17 Resolving power of an astronomical telescope can be limited by the size of the objective. The largest lens objective in use, which exemplifies the practical limits of this approach, is at
�� Very large lenses are difficult to support. �� Refracting telescopes have practical limits. �� Yerkes houses the largest practical refracting telescope.
The famous refracting telescope at Yerkes Observatory has an objective diameter of approximately 1.02 m. This represents the practical upper limit for large refracting telescopes because of: • Edge-support problems • Lens weight • Chromatic aberration Therefore Option C is correct.
- �� Option A → Keck uses reflecting telescopes.
- �� Option B → Not the largest refracting objective.
- �� Option D → Palomar uses a reflecting telescope.
Used
- Fact Recall
Application:
- �� Recall famous observatories and telescope types.
Final Logic:
- �� Yerkes contains the largest practical refracting telescope.
- Yerkes = Largest Lens Telescope.
18 Lenses are problematic for massive telescopes because they suffer from _____ aberration and need edge support, whereas mirrors are free from this defect and can be supported by their _____.
�� Lenses disperse colours. �� Mirrors do not produce chromatic aberration. �� Mirrors can be fully supported from behind.
Large objective lenses suffer from chromatic aberration because refractive index depends on wavelength. Large mirrors do not have this defect and can be supported over their entire back surface. Therefore Option B is correct.
- �� Option A → Main defect is chromatic aberration.
- �� Option C → Incorrect terminology.
- �� Option D → Not a valid optical description.
Used
- Concept Recall
Application:
- �� Compare lens and mirror objectives.
Final Logic:
- �� Mirrors eliminate chromatic aberration and allow full support.
- Lens = Colour Error, Mirror = No Colour Error.
19 Choose the correct statements concerning modern reflecting telescopes:
1. They completely lack chromatic aberration.
2. The objective mirror weighs much less than an equivalent lens.
3. The observer cage occasionally obstructs some incoming light.
4. They cannot be built with diameters larger than 1.02 m.
�� Mirrors do not suffer chromatic aberration. �� Reflecting telescopes can be very large. �� Secondary support structures may obstruct light.
Statement 1 is correct because mirrors do not produce chromatic aberration. Statement 2 is correct because mirrors are lighter than equivalent lenses. Statement 3 is correct because secondary mirrors or observer cages can block a small fraction of incoming light. Statement 4 is incorrect because reflecting telescopes are routinely built much larger than 1.02 m. Therefore Statements 1, 2 and 3 are correct.
- �� Option B → Omits correct Statements 2 and 3 and includes incorrect Statement 4.
- �� Option C → Includes incorrect Statement 4.
- �� Option D → Omits correct Statement 3.
Used
- Elimination
Application:
- �� Identify the statement confusing reflecting and refracting telescope limitations.
Final Logic:
- �� Statement 4 is false; 1, 2 and 3 are correct.
- Mirrors Grow Bigger Than Lenses.
20 Match the telescope components (List I) with their specific design uses in reflecting telescopes (List II).
| List I | List II |
|---|---|
| 1. Primary mirror | a. Large concave reflector |
| 2. Secondary mirror | b. Allows deflected light to pass through to the observer |
| 3. Hole in primary mirror | c. Convex deflector to focus incident light |
| 4. Eyepiece | d. Magnifies the image formed by the mirrors |
�� Primary mirror collects light. �� Secondary mirror redirects light. �� Eyepiece magnifies the final image.
1 → a because the primary mirror is the large concave reflector. 2 → c because the secondary mirror is a convex reflector that redirects and focuses light. 3 → b because the hole in the primary mirror allows reflected light to reach the observer. 4 → d because the eyepiece magnifies the image formed by the mirror system. Therefore: 1-a, 2-c, 3-b, 4-d Hence Option A is correct.
- �� Option B → Primary and secondary mirror roles are interchanged.
- �� Option C → Incorrect matching of secondary mirror and hole.
- �� Option D → Multiple incorrect pairings.
Used
- Concept Matching
Application:
- �� Match each telescope component with its function.
Final Logic:
- �� Only Option A correctly matches all components.
- Primary Collects → Secondary Redirects → Hole Passes → Eyepiece Magnifies.
