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MCQOPTIONS
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.
| 5401. |
A compound microscope has an eye piece of focal length 10 cm and an objective of focal length 4 cm. Calculate the magnification, if an object is kept at a distance of 5 cm from the objective so that final image is formed at the least distance vision (20 cm) [UP SEAT 2005] |
| A. | 12 |
| B. | 11 |
| C. | 10 |
| D. | 13 |
| Answer» B. 11 | |
| 5402. |
A Galileo telescope has an objective of focal length 100 cm and magnifying power 50. The distance between the two lenses in normal adjustment will be [BCECE 2005] |
| A. | 98 cm |
| B. | 100 cm |
| C. | 150 cm |
| D. | 200 cm |
| Answer» B. 100 cm | |
| 5403. |
At Kavalur in India, the astronomers using a telescope whose objective had a diameter of one meter started using a telescope of diameter 2.54 m. This resulted in [KCET 2005] |
| A. | The increase in the resolving power by 2.54 times for the same l |
| B. | The increase in the limiting angle by 2.54 times for the same l |
| C. | Decrease in resolving power |
| D. | No effect on the limiting angle |
| Answer» B. The increase in the limiting angle by 2.54 times for the same l | |
| 5404. |
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 | |
| 5405. |
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 | |
| 5406. |
Which of the following is not correct regarding the radio telescope [BHU 2004] |
| A. | It cannot work at night |
| B. | It can detect a very faint radio signal |
| C. | It can be operated even in cloudy weather |
| D. | It is much cheaper than optical telescope |
| Answer» B. It can detect a very faint radio signal | |
| 5407. |
An astronomical telescope has objective and eye-piece lens of powers 0.5 D and 20 D respectively, its magnifying power will be [Pb. PET 2002] |
| A. | 8 |
| B. | 20 |
| C. | 30 |
| D. | 40 |
| Answer» E. | |
| 5408. |
The resolving power of an astronomical telescope is 0.2 seconds. If the central half portion of the objective lens is covered, the resolving power will be [MP PMT 2004] |
| A. | 0.1 sec |
| B. | 0.2 sec |
| C. | 1.0 sec |
| D. | 0.6 sec |
| Answer» B. 0.2 sec | |
| 5409. |
The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 Å is of the order [CBSE PMT 2005] |
| A. | \[{{10}^{6}}rad\] |
| B. | \[{{10}^{-2}}rad\] |
| C. | \[{{10}^{-4}}rad\] |
| D. | \[{{10}^{-6}}rad\] |
| Answer» E. | |
| 5410. |
For a compound microscope, the focal lengths of object lens and eye lens are \[{{f}_{o}}\]and \[{{f}_{e}}\] respectively, then magnification will be done by microscope when [RPMT 2001] |
| A. | \[{{f}_{o}}={{f}_{e}}\] |
| B. | \[{{f}_{o}}>{{f}_{e}}\] |
| C. | \[{{f}_{o}}<{{f}_{e}}\] |
| D. | None of these |
| Answer» D. None of these | |
| 5411. |
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. \[\frac{D}{26}\] | |
| 5412. |
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 | |
| 5413. |
A telescope of diameter 2m uses light of wavelength 5000 Å for viewing stars. The minimum angular separation between two stars whose image is just resolved by this telescope is [MP PET 2003] |
| A. | \[4\times {{10}^{-4}}\]rad |
| B. | \[0.25\times {{10}^{-6}}\]rad |
| C. | \[0.31\times {{10}^{-6}}\]rad |
| D. | \[5.0\times {{10}^{-3}}\]rad |
| Answer» D. \[5.0\times {{10}^{-3}}\]rad | |
| 5414. |
An astronomical telescope has a magnifying power 10. The focal length of eyepiece is 20 cm. The focal length of objective is [MP PMT 2002, 03; Pb. PET 2004] |
| A. | 2 cm |
| B. | 200 cm |
| C. | \[\frac{1}{2}cm\] |
| D. | \[\frac{1}{200}cm\] |
| Answer» C. \[\frac{1}{2}cm\] | |
| 5415. |
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 | |
| 5416. |
In a laboratory four convex lenses \[{{L}_{1}},\,{{L}_{2}},\,{{L}_{3}}\] and \[{{L}_{4}}\] of focal lengths 2, 4, 6 and 8 cm respectively are available. Two of these lenses form a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are [MP PMT 2001] |
| A. | \[{{L}_{2}},\,{{L}_{3}}\] |
| B. | \[{{L}_{1}},\,{{L}_{4}}\] |
| C. | \[{{L}_{3}},\,{{L}_{2}}\] |
| D. | \[{{L}_{4}},\,{{L}_{1}}\] |
| Answer» E. | |
| 5417. |
A telescope has an objective of focal length 50 cm and an eye piece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distinct vision on a scale 200 cm away. The separation between the objective and the eye-piece is [Kerala PET 2002] |
| A. | 75 \[cm\] |
| B. | 60 \[cm\] |
| C. | 71 \[cm\] |
| D. | 74 \[cm\] |
| Answer» D. 74 \[cm\] | |
| 5418. |
In an astronomical telescope, the focal length of objective lens and eye-piece are 150 cm and 6 cm respectively. In case when final image is formed at least distance of distinct vision. the magnifying power is [KCET 2001] |
| A. | 20 |
| B. | 30 |
| C. | 60 |
| D. | 15 |
| Answer» C. 60 | |
| 5419. |
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 | |
| 5420. |
If the focal length of objective and eye lens are 1.2 cm and 3 cm respectively and the object is put 1.25 cm away from the objective lens and the final image is formed at infinity. The magnifying power of the microscope is |
| A. | 150 |
| B. | 200 |
| C. | 250 |
| D. | 400 |
| Answer» C. 250 | |
| 5421. |
In a compound microscope magnification will be large, if the focal length of the eye piece is [CPMT 1984] |
| A. | Large |
| B. | Smaller |
| C. | Equal to that of objective |
| D. | Less than that of objective |
| Answer» C. Equal to that of objective | |
| 5422. |
The focal lengths of the objective and eye-lens of a microscope are 1 cm and 5 cm respectively. If the magnifying power for the relaxed eye is 45, then the length of the tube is [CPMT 1979] |
| A. | 30 cm |
| B. | 25 cm |
| C. | 15 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 5423. |
Dual nature of radiation is shown by [MP PET 1991] |
| A. | Diffraction and reflection |
| B. | Refraction and diffraction |
| C. | Photoelectric effect alone |
| D. | Photoelectric effect and diffraction |
| Answer» E. | |
| 5424. |
If the de-Broglie wavelengths for a proton and for a \[\alpha -\]particle are equal, then the ratio of their velocities will be [NCERT 1972] |
| A. | 4 : 1 |
| B. | 2 : 1 |
| C. | 1 : 2 |
| D. | 1 : 4 |
| Answer» B. 2 : 1 | |
| 5425. |
When the kinetic energy of an electron is increased, the wavelength of the associated wave will |
| A. | Increase |
| B. | Decrease |
| C. | Wavelength does not depend on the kinetic energy |
| D. | None of the above |
| Answer» C. Wavelength does not depend on the kinetic energy | |
| 5426. |
A particle which has zero rest mass and non-zero energy and momentum must travel with a speed [MP PMT 1992; DPMT 2001; Kerala PMT 2004] |
| A. | Equal to c, the speed of light in vacuum |
| B. | Greater than c |
| C. | Less than c |
| D. | Tending to infinity |
| Answer» B. Greater than c | |
| 5427. |
The wavelength of the matter wave is independent of [Kerala PMT 2005] |
| A. | Mass |
| B. | Velocity |
| C. | Momentum |
| D. | Charge |
| Answer» E. | |
| 5428. |
de-Broglie wavelength of a body of mass m and kinetic energy E is given by [BCECE 2005] |
| A. | \[\lambda =\frac{h}{mE}\] |
| B. | \[\lambda =\frac{\sqrt{2mE}}{h}\] |
| C. | \[\lambda =\frac{h}{2mE}\] |
| D. | \[\lambda =\frac{h}{\sqrt{2mE}}\] |
| Answer» E. | |
| 5429. |
The energy that should be added to an electron to reduce its de Broglie wavelength from one nm to 0.5 nm is [KCET 2005] |
| A. | Four times the initial energy |
| B. | Equal to the initial energy |
| C. | Twice the initial energy |
| D. | Thrice the initial energy |
| Answer» E. | |
| 5430. |
If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor [AIEEE 2005] |
| A. | \[\frac{1}{\sqrt{2}}\] |
| B. | \[\sqrt{2}\] |
| C. | \[\frac{1}{2}\] |
| D. | 2 |
| Answer» B. \[\sqrt{2}\] | |
| 5431. |
Davission and Germer experiment proved [RPET 2002; DCE 2004] |
| A. | Wave nature of light |
| B. | Particle nature of light |
| C. | Both (a) and (b) |
| D. | Neither (a) nor (b) |
| Answer» E. | |
| 5432. |
A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy [MP PMT 1992] |
| A. | Is the photon |
| B. | Is the electron |
| C. | Is the uranium nucleus |
| D. | Depends upon the wavelength and the properties of the particle. |
| Answer» B. Is the electron | |
| 5433. |
The de-Broglie wavelength l [RPMT 2004] |
| A. | is proportional to mass |
| B. | is proportional to impulse |
| C. | Inversely proportional to impulse |
| D. | does not depend on impulse |
| Answer» D. does not depend on impulse | |
| 5434. |
The wavelength associated with an electron accelerated through a potential difference of 100 V is nearly [RPMT 2003] |
| A. | 100 Å |
| B. | 123 Å |
| C. | 1.23 Å |
| D. | 0.123 Å |
| Answer» D. 0.123 Å | |
| 5435. |
The kinetic energy of an electron is 5 eV. Calculate the de-Broglie wavelength associated with it (h = 6.6 ´ 10?34 Js, me = 9.1 ´ 10?31 kg) [Pb. PMT 2004] |
| A. | 5.47 Å |
| B. | 10.9 Å |
| C. | 2.7 Å |
| D. | None of these |
| Answer» B. 10.9 Å | |
| 5436. |
de-Broglie wavelength of a body of mass 1 kg moving with velocity of 2000 m/s is [Pb. PMT 2003] |
| A. | 3.32 ´ 10?27 Å |
| B. | 1.5 ´ 107 Å |
| C. | 0.55 ´ 10?22 Å |
| D. | None of these |
| Answer» B. 1.5 ´ 107 Å | |
| 5437. |
The wavelength of de-Broglie wave is 2mm, then its momentum is (h = 6.63 ´ 10?34 J-s) [DCE 2004] |
| A. | 3.315 ´ 10?28 kg-m/s |
| B. | 1.66 ´ 10?28 kg-m/s |
| C. | 4.97 ´ 10?28 kg-m/s |
| D. | 9.9 ´ 10?28 kg-m/s |
| Answer» B. 1.66 ´ 10?28 kg-m/s | |
| 5438. |
A proton and an a-particle are accelerated through a potential difference of 100 V. The ratio of the wavelength associated with the proton to that associated with an a-particle is [DCE 2002; DPMT 2003] |
| A. | \[\sqrt{2}:1\] |
| B. | \[2:1\] |
| C. | \[2\sqrt{2}:1\] |
| D. | \[\frac{1}{2\sqrt{2}}:1\] |
| Answer» D. \[\frac{1}{2\sqrt{2}}:1\] | |
| 5439. |
The kinetic energy of an electron with de-Broglie wavelength of 0.3 nanometer is [UPSEAT 2004] |
| A. | 0.168 eV |
| B. | 16.8 eV |
| C. | 1.68 eV |
| D. | 2.5 eV |
| Answer» C. 1.68 eV | |
| 5440. |
For moving ball of cricket, the correct statement about de-Broglie wavelength is [RPMT 2001] |
| A. | It is not applicable for such big particle |
| B. | \[\frac{h}{\sqrt{2mE}}\] |
| C. | \[\sqrt{\frac{h}{2mE}}\] |
| D. | \[\frac{h}{2mE}\] |
| Answer» C. \[\sqrt{\frac{h}{2mE}}\] | |
| 5441. |
The de-Broglie wavelength associated with the particle of mass m moving with velocity v is [CBSE PMT 1992] |
| A. | \[h/mv\] |
| B. | \[mv/h\] |
| C. | \[mh/v\] |
| D. | \[4\times {{10}^{4}}\] |
| Answer» B. \[mv/h\] | |
| 5442. |
An electron and proton have the same de-Broglie wavelength. Then the kinetic energy of the electron is [Kerala PMT 2004] |
| A. | Zero |
| B. | Infinity |
| C. | Equal to the kinetic energy of the proton |
| D. | Greater than the kinetic energy of the proton |
| Answer» E. | |
| 5443. |
The de-Broglie wavelength of a neutron at 27oC is l. What will be its wavelength at 927oC [DPMT 2002] |
| A. | l / 2 |
| B. | l / 3 |
| C. | l / 4 |
| D. | l / 9 |
| Answer» B. l / 3 | |
| 5444. |
When the momentum of a proton is changed by an amount P0, the corresponding change in the de-Broglie wavelength is found to be 0.25%. Then, the original momentum of the proton was [CPMT 2002] |
| A. | p0 |
| B. | 100 p0 |
| C. | 400 p0 |
| D. | 4 p0 |
| Answer» D. 4 p0 | |
| 5445. |
The de-Broglie wavelength associated with a hydrogen molecule moving with a thermal velocity of 3 km/s will be |
| A. | 1 Å |
| B. | 0.66 Å |
| C. | 6.6 Å |
| D. | 66 Å |
| Answer» C. 6.6 Å | |
| 5446. |
The de-Broglie wavelength of a particle accelerated with 150 volt potential is \[{{10}^{-10}}\]m. If it is accelerated by 600 volts p.d., its wavelength will be [RPET 1988] |
| A. | 0.25 Å |
| B. | 0.5 Å |
| C. | 1.5 Å |
| D. | 2 Å |
| Answer» C. 1.5 Å | |
| 5447. |
The kinetic energy of electron and proton is \[{{10}^{-32}}J\]. Then the relation between their de-Broglie wavelengths is [CPMT 1999] |
| A. | \[{{\lambda }_{p}}<{{\lambda }_{e}}\] |
| B. | \[{{\lambda }_{p}}>{{\lambda }_{e}}\] |
| C. | \[{{\lambda }_{p}}={{\lambda }_{e}}\] |
| D. | \[{{\lambda }_{p}}=2{{\lambda }_{e}}\] |
| Answer» B. \[{{\lambda }_{p}}>{{\lambda }_{e}}\] | |
| 5448. |
According to de-Broglie, the de-Broglie wavelength for electron in an orbit of hydrogen atom is 10?9 m. The principle quantum number for this electron is [RPMT 2003] |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 5449. |
The de-Broglie wavelength of a particle moving with a velocity 2.25 ´ 108 m/s is equal to the wavelength of photon. The ratio of kinetic energy of the particle to the energy of the photon is (velocity of light is 3 ´ 108 m/s) [EAMCET (Med.) 2003] |
| A. | 1/8 |
| B. | 3/8 |
| C. | 5/8 |
| D. | 7/8 |
| Answer» C. 5/8 | |
| 5450. |
Particle nature and wave nature of electromagnetic waves and electrons can be shown by [AIIMS 2000] |
| A. | Electron has small mass, deflected by the metal sheet |
| B. | X-ray is diffracted, reflected by thick metal sheet |
| C. | Light is refracted and defracted |
| D. | Photoelectricity and electron microscopy |
| Answer» E. | |