Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.

11801.

The focal lengths of the lenses of an astronomical telescope are 50 cm and 5 cm. The length of the telescope when the image is formed at the least distance of distinct vision is [EAMCET (Engg.) 2000]

A. \[45\,cm\]
B. \[55\,cm\]
C. \[\frac{275}{6}\,cm\]
D. \[\frac{325}{6}\,cm\]
Answer» E.
11802.

The number of lenses in a terrestrial telescope is [KCET 1999; MH CET 2003]

A. Two
B. Three
C. Four
D. Six
Answer» C. Four
11803.

If both the object and image are at infinite distances form a refracting telescope its magnifying power will be equal to [AMU (Engg.) 1999]

A. The sum of the focal lengths of the objective and the eyepiece
B. The difference of the focal lengths of the two lenses
C. The ratio of the focal length of the objective and eyepiece
D. The ratio of the focal length of the eyepiece and objective
Answer» D. The ratio of the focal length of the eyepiece and objective
11804.

Four convergent lenses have focal lengths 100 cm, 10 cm, 4 cm and 0.3 cm. For a telescope with maximum possible magnification, we choose the lenses of focal length [KCET 1994]

A. 100 cm, 0.3 cm
B. 10 cm, 0.3 cm
C. 10 cm, 4 cm
D. 100 cm, 4 cm
Answer» B. 10 cm, 0.3 cm
11805.

The astronomical telescope consists of objective and eye-piece. The focal length of the objective is [AIIMS 1998; BHU 2000]

A. Equal to that of the eye-piece
B. Greater than that of the eye-piece
C. Shorter than that of the eye-piece
D. Five times shorter than that of the eye-piece
Answer» C. Shorter than that of the eye-piece
11806.

The minimum magnifying power of a telescope is M, If the focal length of its eye lens is halved, the magnifying power will become [MP PMT/PET 1998]

A. M / 2
B. 2 M
C. 3 M
D. 4 M
Answer» C. 3 M
11807.

On which of the following does the magnifying power of a telescope depends [MP PET 1992]

A. The focal length of the objective only
B. The diameter of aperture of the objective only
C. The focal length of the objective and that of the eye piece
D. The diameter of aperture of the objective and that of the eye piece
Answer» D. The diameter of aperture of the objective and that of the eye piece
11808.

The aperture of the objective lens of a telescope is made large so as to [AIEEE 2003; KCET 2003]

A. Increase the magnifying power of the telescope
B. Increase the resolving power of the telescope
C. Make image aberration less
D. Focus on distant objects
Answer» C. Make image aberration less
11809.

A reflecting telescope utilizes [CPMT 1983]

A. A concave mirror
B. A convex mirror
C. A prism
D. A plano-convex lens
Answer» B. A convex mirror
11810.

In Gallilean telescope, the final image formed is

A. Real, erect and enlarged
B. Virtual, erect and enlarged
C. Real, inverted and enlarged
D. Virtual, inverted and enlarged
Answer» C. Real, inverted and enlarged
11811.

The magnifying power of a telescope can be increased by [CPMT 1979]

A. Increasing focal length of the system
B. Fitting eye piece of high power
C. Fitting eye piece of low power
D. Increasing the distance of objects
Answer» C. Fitting eye piece of low power
11812.

If Fo and Fe are the focal length of the objective and eye-piece respectively of a telescope, then its magnifying power will be CPMT 1977, 82, 97, 99, 2003; SCRA 1994; KCET 1999; Pb. PMT 2000; BHU 2001; DCE 2002; RPMT 2003; BCECE 2003, 04]

A. \[{{F}_{o}}+{{F}_{e}}\]
B. \[{{F}_{o}}\times {{F}_{e}}\]
C. \[{{F}_{o}}/{{F}_{e}}\]
D. \[\frac{1}{2}({{F}_{o}}+{{F}_{e}})\]
Answer» D. \[\frac{1}{2}({{F}_{o}}+{{F}_{e}})\]
11813.

An achromatic telescope objective is to be made by combining the lenses of flint and crown glasses. This proper choice is [CPMT 1977]

A. Convergent of crown and divergent of flint
B. Divergent of crown and convergent of flint
C. Both divergent
D. Both convergent
Answer» B. Divergent of crown and convergent of flint
11814.

Two points separated by a distance of 0.1 mm can just be resolved in a microscope when a light of wavelength 6000 Å is used. If the light of wavelength 4800Å is used this limit of resolution becomes [UPSEAT 2002]

A. 0.08 mm
B. 0.10 mm
C. 0.12 mm
D. 0.06 mm
Answer» B. 0.10 mm
11815.

The magnifying power of a simple microscope is 6. The focal length of its lens in metres will be, if least distance of distinct vision is 25\[cm\] [MP PMT 2001]

A. 0.05
B. 0.06
C. 0.25
D. 0.12
Answer» B. 0.06
11816.

If the red light is replaced by blue light illuminating the object in a microscope the resolving power of the microscope [DCE 2001]

A. Decreases
B. Increases
C. Gets halved
D. Remains unchanged
Answer» C. Gets halved
11817.

The length of the tube of a microscope is 10 cm. The focal lengths of the objective and eye lenses are 0.5 cm and 1.0 cm. The magnifying power of the microscope is about [MP PMT 2000]

A. 5
B. 23
C. 166
D. 500
Answer» E.
11818.

In a compound microscope, the focal lengths of two lenses are 1.5 cm and 6.25 cm an object is placed at 2 cm form objective and the final image is formed at 25 cm from eye lens. The distance between the two lenses is [EAMCET (Med.) 2000]

A. 6.00 cm
B. 7.75 cm
C. 9.25 cm
D. 11.00 cm
Answer» E.
11819.

In a compound microscope cross-wires are fixed at the point [EAMCET (Engg.) 2000]

A. Where the image is formed by the objective
B. Where the image is formed by the eye-piece
C. Where the focal point of the objective lies
D. Where the focal point of the eye-piece lies
Answer» B. Where the image is formed by the eye-piece
11820.

Resolving power of a microscope depends upon [DCE 1999]

A. Wavelength of light used, directly
B. Wavelength of light used, inversely
C. Frequency of light used
D. Focal length of objective
Answer» C. Frequency of light used
11821.

The objective of a compound microscope is essentially [SCRA 1998]

A. A concave lens of small focal length and small aperture
B. Convex lens of small focal length and large aperture
C. Convex lens of large focal length and large aperture
D. Convex lens of small focal length and small aperture
Answer» E.
11822.

Least distance of distinct vision is 25 cm. Magnifying power of simple microscope of focal length 5 cm is [EAMCET (Engg.) 1995; Pb. PMT 1999]

A. 1 / 5
B. 5
C. 1 / 6
D. 6
Answer» E.
11823.

Resolving power of a microscope depends upon [MP PET 1995]

A. The focal length and aperture of the eye lens
B. The focal lengths of the objective and the eye lens
C. The apertures of the objective and the eye lens
D. The wavelength of light illuminating the object
Answer» E.
11824.

The focal lengths of the objective and the eye-piece of a compound microscope are 2.0 cm and 3.0 cm respectively. The distance between the objective and the eye-piece is 15.0 cm. The final image formed by the eye-piece is at infinity. The two lenses are thin. The distances in cm of the object and the image produced by the objective measured from the objective lens are respectively [IIT 1995]

A. 2.4 and 12.0
B. 2.4 and 15.0
C. 2.3 and 12.0
D. 2.3 and 3.0
Answer» B. 2.4 and 15.0
11825.

The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnifying power of this microscope is [Manipal MEE 1995; DPMT 2002]

A. 19
B. 31
C. 150
D. \[\sqrt{150}\]
Answer» D. \[\sqrt{150}\]
11826.

When the object is self-luminous, the resolving power of a microscope is given by the expression

A. \[\frac{2\mu \sin \theta }{1.22\,\lambda }\]
B. \[\frac{\mu \sin \theta }{\lambda }\]
C. \[\frac{2\mu \cos \theta }{1.22\ \lambda }\]
D. \[\frac{2\mu }{\lambda }\]
Answer» B. \[\frac{\mu \sin \theta }{\lambda }\]
11827.

The maximum magnification that can be obtained with a convex lens of focal length 2.5 cm is (the least distance of distinct vision is 25 cm) [MP PET 2003]

A. 10
B. 0.1
C. 62.5
D. 11
Answer» E.
11828.

The magnifying power of a microscope with an objective of 5 mm focal length is 400. The length of its tube is 20 cm. Then the focal length of the eye-piece is [MP PMT 1991]

A. 200 cm
B. 160 cm
C. 2.5 cm
D. 0.1 cm
Answer» D. 0.1 cm
11829.

Magnification of a compound microscope is 30. Focal length of eye-piece is 5 cm and the image is formed at a distance of distinct vision of 25 cm. The magnification of the objective lens is [DPMT 2005]

A. 6
B. 5
C. 7.5
D. 10
Answer» C. 7.5
11830.

A telescope has an objective lens of focal length 200 cm and an eye piece with focal length 2 cm. If this telescope is used to see a 50 meter tall building at a distance of 2 km, what is the height of the image of the building formed by the objective lens [AIIMS 2005]

A. 5 cm
B. 10 cm
C. 1 cm
D. 2 cm
Answer» B. 10 cm
11831.

The diameter of objective of a telescope is 1m. Its resolving limit for the light of wave length 4538 Å, will be [Pb. PET 2003]

A. \[5.54\times {{10}^{-7}}rad\]
B. \[2.54\times {{10}^{-4}}rad\]
C. \[6.54\times {{10}^{-7}}rad\]
D. None of these
Answer» B. \[2.54\times {{10}^{-4}}rad\]
11832.

In a compound microscope, if the objective produces an image Io and the eye piece produces an image Ie, then [MP PET 1990]

A. Io is virtual but Ie is real
B. Io is real but Ie is virtual
C. Io and Ie are both real
D. Io and Ie are both virtual
Answer» C. Io and Ie are both real
11833.

When the length of a microscope tube increases, its magnifying power [MNR 1986]

A. Decreases
B. Increases
C. Does not change
D. May decrease or increase
Answer» B. Increases
11834.

The focal length of objective and eye lens of a microscope are 4 cm and 8 cm respectively. If the least distance of distinct vision is 24 cm and object distance is 4.5 cm from the objective lens, then the magnifying power of the microscope will be

A. 18
B. 32
C. 64
D. 20
Answer» C. 64
11835.

In a compound microscope the objective of \[{{f}_{o}}\] and eyepiece of \[{{f}_{e}}\] are placed at distance L such that L equals [Kerala PMT 2004]

A. \[{{f}_{o}}+{{f}_{e}}\]
B. \[{{f}_{o}}-{{f}_{e}}\]
C. Much greater than \[{{f}_{o}}\] or \[{{f}_{e}}\]
D. Much less than \[{{f}_{o}}\] or \[{{f}_{e}}\] (e) Need not depend either value of focal lengths
Answer» D. Much less than \[{{f}_{o}}\] or \[{{f}_{e}}\] (e) Need not depend either value of focal lengths
11836.

In a simple microscope, if the final image is located at infinity then its magnifying power is [MP PMT 2004]

A. \[\frac{25}{f}\]
B. \[\frac{D}{26}\]
C. \[\frac{f}{25}\]
D. \[\frac{f}{D+1}\]
Answer» B. \[\frac{D}{26}\]
11837.

A simple magnifying lens is used in such a way that an image is formed at 25 cm away from the eye. In order to have 10 times magnification, the focal length of the lens should be [MP PET 1990]

A. 5 cm
B. 2 cm
C. 25 mm
D. 0.1 mm
Answer» D. 0.1 mm
11838.

A Galileo telescope has an objective of focal length \[100cm\] and magnifying power 50. The distance between the two lenses in normal adjustment will be [BHU 2002; Pb. PET 2002]

A. 96 cm
B. 98 cm
C. 102 cm
D. 104 cm
Answer» C. 102 cm
11839.

To increase both the resolving power and magnifying power of a telescope [Kerala PET 2002; KCET 2002]

A. Both the focal length and aperture of the objective has to be increased
B. The focal length of the objective has to be increased
C. The aperture of the objective has to be increased
D. The wavelength of light has to be decreased
Answer» B. The focal length of the objective has to be increased
11840.

The resolving power of a telescope whose lens has a diameter of 1.22 m for a wavelength of 5000 Å is [Kerala PMT 2002]

A. \[2\times {{10}^{5}}\]
B. \[2\times {{10}^{6}}\]
C. \[2\times {{10}^{2}}\]
D. \[2\times {{10}^{4}}\]
Answer» C. \[2\times {{10}^{2}}\]
11841.

Assertion : Although the surfaces of a goggle lens are curved, it does not have any power. Reason : In case of goggles, both the curved surfaces have equal radii of curvature.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
11842.

Assertion : The illuminance of an image produced by a convex lens is greater in the middle and less towards the edges. Reason : The middle part of image is formed by undeflected rays while outer part by inclined rays.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
11843.

Assertion : The resolving power of an electron microscope is higher than that of an optical microscope. Reason : The wavelength of electron is more than the wavelength of visible light.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» D. If the assertion and reason both are false.
11844.

Assertion : Critical angle of light passing from glass to air is minimum for violet colour. Reason : The wavelength of blue light is greater than the light of other colours.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» D. If the assertion and reason both are false.
11845.

Assertion : Just before setting, the sun may appear to be elliptical. This happens due to refraction. Reason : Refraction of light ray through the atmosphere may cause different magnification in mutually perpendicular directions.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
11846.

A rod of glass (m = 1.5) and of square cross section is bent into the shape shown in the figure. A parallel beam of light falls on the plane flat surface A as shown in the figure. If d is the width of a side and R is the radius of circular arc then for what maximum value of \[\frac{d}{R}\] light entering the glass slab through surface A emerges from the glass through B

A. 1.5
B. 0.5
C. 1.3
D. None of these
Answer» C. 1.3
11847.

A prism having an apex angle 4o and refraction index 1.5 is located in front of a vertical plane mirror as shown in figure. Through what total angle is the ray deviated after reflection from the mirror

A. 176o
B. 4o
C. 178o
D. 2o
Answer» D. 2o
11848.

Absorption of X-ray is maximum in which of the following different sheets [RPMT 1995]

A. Copper
B. Gold
C. Beryllium
D. Lead
Answer» E.
11849.

Compton effect is associated with [CPMT 1971]

A. \[\alpha -\]rays
B. \[\beta -\]rays
C. X-rays
D. Positive rays
Answer» D. Positive rays
11850.

An X-ray has a wavelength of 0.010 Å. Its momentum is [AFMC 1980; RPMT 1995; Pb. PMT 2004]

A. 2.126 \[\times \]10?23 kg-m/sec
B. 6.626 \[\times \]10-22 kg-m/sec
C. 3.456 \[\times \] 20?25 kg-m/sec
D. 3.313 \[\times \]10?22 kg-m/sec
Answer» C. 3.456 \[\times \] 20?25 kg-m/sec