Tag: space travel

Questions Related to space travel

A telescope of objective lens diameter $2m$ uses light of wavelength $5000 \mathring {A}$ for viewing starts. The minimum angular separation between two stars whose image is just resolved by their telescope is:

  1. $4\times 10^{-4}rad$

  2. $40.25times 10^{-6}rad$

  3. $0.31\times 10^{-6}rad$

  4. $5\times 10^{-3}rad$


Correct Option: C
Explanation:

Given that,

Diameter $d=2\,m$

Wave length $\lambda =5000\,\overset{\circ }{\mathop{A}}\,$

Now, minimum angular separation is

  $ \Delta \theta =\dfrac{1.22\lambda }{d} $

 $ \Delta \theta =\dfrac{1.22\times 5000\times {{10}^{-10}}}{2} $

 $ \Delta \theta =0.3\times {{10}^{-6}}\,rad $

Hence, the resolving power is $0.3\times {{10}^{-6}}\,rad$

A tower $100m$ tall at a distance of $3$km is seen through a telescope having objective of focal length $140$cm and eyepiece of focal length $5cm$. Then the size of final image if it is at $25$cm from the eye?

  1. 14 cm

  2. 28 cm

  3. 42 cm

  4. 56 cm


Correct Option: A

The angular resolution of a radio telescope is to be ${ 0.100 }^{ 0 }$ when the incident beam of wavelength $ 3.00mm$ is used. What is minimum diameter required for the telescope's receiving dish? 

  1. 2.0 m

  2. 4.20 m

  3. 2.20 m

  4. 3.20 m


Correct Option: A

The focal lengths of the objective and eye lens of telescope are respectively $200\ cm$ and $5\ cm$. The maximum magnifying power of the telescope will be.

  1. $-40$

  2. $-48$

  3. $-60$

  4. $-100$


Correct Option: B

An observer looks at a distant tree
of height $10$ m with a
telescope of magnifying power of $20$. To the
observer the tree appears :






.







  1. $10$ times taller.

  2. $10$ times nearer

  3. $20$ times taller.

  4. $20$ times nearer.


Correct Option: D

The angular resolution of a $10cm$ diameter telescope at a  wavelength of $5000A$ is of the order of 

  1. $ 10^{6} \mathrm{rad} $

  2. $ 10^{-2} \mathrm{rad} $

  3. $ 10^{-4} \mathrm{rad} $

  4. $ 10^{-6} \mathrm{rad} $


Correct Option: D

In a terrestrial telescope, the telescope, the focal length of objective is 90 cm of inverting lens is 5 cm and of eye lens is 6 cm. If the final image is at 3  cm, then the magnification will be

  1. 21

  2. 12

  3. 15

  4. 18


Correct Option: C

The focal lengths of the objective and eye plece of astronomical telescope are $100cm$ and $2cm$ respectively. The magnitude of magnifying power of telescope for adjustment is

  1. $54$

  2. $0.02$

  3. $50$

  4. $100$


Correct Option: A

The focal length of an objective of a telescope is 3 meter and diameter 15 cm. Assuming for a normal eye, the diameter of the pupil is 3 mm for its complete use, the focal length of eye piece must  be

  1. $6 cm$

  2. $6.3 cm$

  3. $20 cm$

  4. $60 cm$


Correct Option: A

The diameter of the lens of a telescope is $1.22m$. The wavelength of light of $5000\mathring {A}$. The resolving power of the telescope is _____

  1. $5\times{10}^{-5}$

  2. $5\times{10}^{-6}$

  3. $5\times{10}^{-7}$

  4. $5\times{10}^{-4}$


Correct Option: C