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Rockets - class-XI

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The formula for critical velocity is :

  1. $\sqrt {2R g}$

  2. $\dfrac{R}{g}$

  3. $\dfrac{3R}{2g}$

  4. $\sqrt {R g}$


Correct Option: D
Explanation:

The velocity required to put a satellite in its orbit around a planet is called critical velocity .The critical velocity or orbital velocity of a satellite of planet of radius $R$ is given by $v _{o}=\sqrt{gR}$ 

The escape velocity for any satellite to be placed in a orbit is :

  1. $11.2 \ kms^{-1}$

  2. $11 \ kms^{-1}$

  3. $22 \ kms^{-1}$

  4. $22.2 \ kms^{-1}$


Correct Option: A
Explanation:

The escape velocity on a  planet of radius $R$ is given by  ,

           $v _{e}=\sqrt{2gR}$  
for earth -  $R=6.4\times10^{3}km , g=9.8m/s^{2}$
hence  $v _{e}=\sqrt{2\times9.8\times6.4\times10^{3}}=11.2kms^{-1}$

The correct relation between escape velocity $v _e$ and critical velocity $v _0$ is :

  1. $ v _e=\sqrt{\dfrac{3}{2}} v _0$

  2. $ v _e=\sqrt{2} v _0$

  3. $ v _e=\sqrt{3}v _0$

  4. $ v _e=\sqrt{\dfrac{2}{3}}v _0$


Correct Option: B
Explanation:

The critical velocity or orbital velocity of a satellite of planet of radius $R$  is given by  ,

           $v _{o}=\sqrt{gR}$  ..................eq1
The escape velocity on a  planet of radius $R$ is given by  ,
           $v _{e}=\sqrt{2gR}$  ..................eq2
dividing eq2 by eq1 , we get
           $\dfrac{v _{e}}{v _{o}}=\dfrac{\sqrt{2gR}}{\sqrt{gR}}=\sqrt2$ 
or        $v _{e}=\sqrt2v _{o}$ 

Payload ratio is :

  1. $\dfrac{\text{fuel mass}}{\text{payload mass}}$

  2. $\dfrac{\text{payload mass}}{\text{fuel mass}}$

  3. $\dfrac{\text{payload mass}}{\text{total rocket mass}}$

  4. None of the above


Correct Option: B
Explanation:

Payload ratio is the ratio of mass that a payload carries and take-off weight. Take-off weight in case of short trips is almost equal to fuel mass. 

Which of the following satellites have been successfully built by India ?

  1. Communication Satellites

  2. Meteorological Satellites

  3. Remote Sensing Satellites

  4. All of the above


Correct Option: D
Explanation:

All the given satellites have successfully built .

Communication satellite-GSAT-18
Meteorological satellite- INSAT-3D
Remote Sensing satellite- Bhaskara-1

When the fuel in the rocket burns, the rocket moves vertically upward due to :

  1. the exhaust gases escape through the nozzle opposite to the earth and pushes downwards

  2. the exhaust gases escape through the nozzle opposite to the earth and pushes upwards

  3. the exhaust gases escape through the nozzle towards the earth and pushes downwards

  4. the exhaust gases escape through the nozzle towards the earth and pushes upwards


Correct Option: D
Explanation:

We know that by newton's third law of motion, Every action has an equal and opposite reaction. So as the fuel burns it escapes from the nozzle towards the earth. So the gases exert an equal and opposite force on the rocket. So this propels the rocket vertically upward.

Multistage rocket is used because:

  1. a single rocket  cannot push satellite to a great height

  2. a single rocket cannot carry huge amount of fuel

  3. the speed of a single rocket is less

  4. none of the above


Correct Option: A
Explanation:

A multi-stage rocket consists of several pieces of fuel containers joined in series. Whenever any container's fuel starts burning, obviously the fuel quantity starts decreasing. When the container is completely empty, it is detached from the rocket and the second container starts working. This reduces the mass and weight of the rocket, enabling it to travel faster than before. After the 2nd gets empty, that is also detached and the third starts working, and so on. Thus there is rapid gain in speed continuously.


In a single stage rocket, there is only one large container which contains all the fuel. It cannot be detached from the rocket. Its speed doesn't increase as rapidly as a multi-stage one.

A multi-stage rocket can launch a satellite to a much greater height as compared to a single-stage one.

Streamlining of the rocket :

  1. minimizes the friction of air.

  2. maximizes the friction of air.

  3. Either A or B is correct depending on the weight of the rocket.

  4. Both A and B.


Correct Option: A
Explanation:

Whenever any object moves through air, air opposes the motion. This is known as air resistance. 

The intensity of air resistance depends on the area of the surface which is perpendicular to the direction of motion.
To reduce this resistance, the face of the rocket is made almost conical. This is known as streamlining. 
Streamlining minimizes air resistance and increases the speed of the rocket. 

Which of the following need to be considered when the rocket operates:
(A): As the rocket consumes fuel at every instant, its mass goes on decreasing.
(B): The acceleration due to gravity changes continuously as the rocket ascends.
(C): The atmosphere offers resistance in the lower strata of atmosphere.

  1. A, B and C

  2. Only B and C

  3. Only C

  4. None of the above


Correct Option: A
Explanation:

As the rocket consumes fuel at every instant, the fuel is converted to gases and are thrown out of the rocket. Hence the fuel content gets lesser and lesser as the fuel burns. Thus the mass goes on decreasing.

When these gases are thrown out, they exert a force on the rocket and it gets propelled.
As per the equation, $force = {mass}\times{acceleration}$, lesser the mass, greater is the acceleration of the rocket. This point must be considered while studying the motion of the rocket.
The acceleration due to gravity changes continuously as the rocket ascends because, the downward gravitational force acting on any object becomes lesser and lesser as it goes away from the earth. Hence the net force acting on the rocket goes on increasing.
This point must also be considered
In the lower strata of atmosphere, its density is more. Hence it offers greater resistance to moving bodies. The rocket has to thus overcome this force of resistance at lower height. This decreases the net force acting on the rocket at lower height.

Fill in the blank.
Larger the mass of the  rocket _____ is the acceleration.

  1. lesser

  2. larger

  3. same

  4. may be lesser or may be larger


Correct Option: A
Explanation:

Force $= mass\times acceleration$

Since force depends on the engine and the fuel, force is constant.
Greater the mass, lesser is the acceleration.

Blow a balloon and let it go. You will find it moving in the direction opposite to the direction in which the air is ejected. This demonstrates :

  1. the principle of rocket propulsion

  2. the principle of combustion

  3. the principle of conservation of energy

  4. None of the above


Correct Option: A
Explanation:

The principle of rocket propulsion works on the 'Newton's Third Law of Motion'. It states that, 'to every action, there is always an equal and opposite reaction'.

In the case of a rocket, the engine emits hot burning gases in the downward direction. These gases apply an equal and opposite reaction force to the rocket in the upward direction.
This is how a rocket is propelled.
Rocket propulsion is similar to the example of the situation in which, if we blow a balloon and let it go, it starts moving in the direction opposite to the direction in which the air is ejected. 
Balloon forces out the air inside it. The air applies an equal and opposite reaction force to the balloon.

The scientific instrument which is usually placed in the front region of the rocket is called :

  1. PAYBOOK

  2. PLAYOAD

  3. PAYLOAD

  4. PLAYWOOD


Correct Option: C
Explanation:

The scientific instrument placed in the front region of the rocket is called PAYLOAD. For a rocket payload can be a satellite, space probe or a space craft carrying humans. The fraction of payload to the total liftoff weight of the rocket iscalled as palyload friction.

The principle of rocket propulsion depends on :

  1. Newton's third law of motion

  2. Principle of conservation of momentum

  3. Either A and B

  4. Both A and B


Correct Option: D
Explanation:

The principle of rocket propulsion works on the 'Newton's Third Law of Motion'. It states that, 'to every action, there is always an equal and opposite reaction'.

In the case of a rocket, the engine emits hot burning gases in the downward direction. These gases apply an equal and opposite reaction force to the rocket in the upward direction.
This is how a rocket is propelled.
The principle of conservation of momentum states that whenever two bodies collide or get separated, then their  total momentum before collision or separation is equal to their total momentum after collision or separation.
Since the gases of the rocket and the rocket are stationery at the start, their total momentum is zero. After the gases start burning, the momentum imparted to the rocket is equal and opposite to that of the gases. Hence their total momentum is zero.

Which of the following is not a fact about Hubble Telescope?

  1. The Hubble Space Telescopes captures and transmits colorful images of objects in space such as dying stars and other galaxies.

  2. Although the Hubble Space Telescope can observe many things in space, it cannot observe the Sun or Mercury.

  3. The Hubble Space Telescope orbits about 353 miles above Earth

  4. None of the above


Correct Option: D
Explanation:

All the facts mentioned about Hubble Telescope are true. The Hubble Telescope orbits 353 miles above earth and transmits colorful images of objects in space and through Hubble telescope we can observe many things in space except the sun or mercury.

Which of the following is not a part of HST?

  1. Advanced Camera for Surveys (ACS).

  2. Faint Object Camera (FOC)

  3. Computer-controlled polishing machines

  4. Faint Object Spectrograph (FOS).


Correct Option: C
Explanation:

Computer-controlled polishiing machines is not a part of HST. This is used mostly in fabrication purposes. In fabrication process automation techniques like computer-controlled polishing is used to achieve high level of fabrication.

DSN is a deep space network tracking station is 

  1. to track and communicate with interplanetary spacecraft missions.

  2. to track and provide the fuel to the spacecraft.

  3. to maintain the spacecraft

  4. none of the above


Correct Option: A
Explanation:

DNS is a deep space network tracking station use to track and  communicate with interplanetary spacecraft missions, Along with tacking and communication DSN is also used to explore the furthest point of our solar system.

Which of the following is an early drawback of HST?

  1. Its ground control system.

  2. Hubble failed to achieve a final sharp focus and the best image quality obtained was drastically lower.

  3. Images of point sources spread out over a radius of more than one arcsecond.

  4. All of the above


Correct Option: B,C
Explanation:

As the early drawback of Hubble space telescope, Hubble filed to achieve a final sharp focus and the best image quality obtained was drastically lower. Also the image of point sources spread out over a radius of more than one arc second.

Which of the following is correct statement regarding HST?

  1. The Hubble Space Telescope (HST) , has accurately determined the rate of expansion of the universe.

  2. Hubble has contributed to studies of the behavior of graphite composite structures in vacuum.

  3. Optical contamination from residual gas can also be observed from the HST.

  4. none of the above


Correct Option: A,B,C
Explanation:

The hubble space Telescope (HST) has accurately determined rate of expansion of the universe. It has contributed to studies of the behaviour of graphite composite structures in vacuum and has observed the optical contamination from residual gases.

What is the average speed of the Hubble telescope?

  1. 2 miles per second

  2. 10 miles per second

  3. 7 miles per second

  4. 5 miles per second


Correct Option: D
Explanation:

The average speed of Hubble space telescope is $17000$ $mph$ or $5$ miles per second. Hubble space telescope takes 95 minutes to complete one orbit.

The Hubble Space Telescope is scheduled to retire in which of the following year?

  1. 2012

  2. 2013

  3. 2014

  4. 2015


Correct Option: C
Explanation:

The Hubble space telescope was launched in 1990 to observe stellar objects It has gathered spectacular images and has helped advanced knowledge in the field of cosmology. After it immense contribution it retired in the year 2014.

Fill in the blank.
Hubble transmits about _____ of raw science data every week.

  1. 100 gigabits

  2. 140 gigabits

  3. 180 gigabits

  4. 200 gigabits


Correct Option: B
Explanation:

Hubble data was initially stored on the spacecraft in reel-to-reel tape recorders but these were replaced by solid state data storage facilities during serving missions 2 and 3A. Hubble transmits about 140 gigabits of raw science data every week.

The Corrective Optics Space Telescope Axial Replacement (COSTAR) system was designed to correct the _______________________ for light focused at the FOC, FOS, and GHRS.

  1. visual aberration

  2. spherical aberration

  3. diffraction

  4. none of the above


Correct Option: B
Explanation:

The Corrective Optics Space Telescope Axial Replacement(COSTAR) system was designed to correct the spherical aberration for light focused at the FOC, FOS and GHRS. Spherical aberration is the condition when there is a loss in the definition of the image arising from the surface geometry of a spherical mirror or lens. Hence to solve this  condition COSTAR was designed.

Astronomical data taken with ________________ must undergo several calibration steps before they are suitable for astronomical analysis

  1. HOST

  2. CCD

  3. CCR

  4. none of the above


Correct Option: B
Explanation:

Astronomical data taken with CCD (charged couple devices) must undergo several calibration steps before they are suitable for astronomical analysis.

The unique window(s) on the Universe enabled by Hubble is/are :

  1. Hubble Deep Field

  2. Hubble Ultra-Deep Field

  3. Hubble Extreme Deep Field

  4. All of the above


Correct Option: D
Explanation:

The unique windows on the universe enabled by Hubble are Hubble deep field, Hubble Ultra-Deep Field and Extreme Deep Field.

All images from Hubble are ___________________,in which its cameras incorporate a variety of filters each sensitive to specific wavelengths of light.

  1. advanced diffracted

  2. monochromatic grayscale

  3. Lucky Cam

  4. none of the above


Correct Option: B
Explanation:

All images from Hubble are monochromatic gray scale, in which its cameras incorporate a variety of filters each sensitive to specific wavelengths of light.

The GHRS was a spectrograph designed to operate in the ___________.

  1. infrared

  2. ultraviolet

  3. visible

  4. none of the above


Correct Option: B
Explanation:

The GHRS was a spectrograph designed to operate in ultraviolet light. It was installed on the Hubble Space Telescope during its original constructing and it was launched into space as a part of the space telescope abroad the space shuttle on April 24,1990.

To fit the COSTAR system onto the telescope, one of the other instruments had to be removed, and astronomers selected the________________________to be sacrificed.

  1. CCD

  2. HOST

  3. High Speed Photometer

  4. none of the above


Correct Option: C
Explanation:

To fit the COSTAR system onto the telescope one of the other instruments had to be removed, and astronomer selected the High Speed Photometer (HSP) to be sacrificed.

Hubble's four main instruments observe in the near

  1. ultraviolet range

  2. infrared range.

  3. red wavelength range

  4. yellow wavelength range


Correct Option: A,B
Explanation:

The instruments of hubble that analyses light from the universe such as cameras, spectrographs and inter ferometers helps in observing the near UV (ultraviolet range) to IR (infrared range).

Which of the following instruments is used for seeing details of celestial bodies?

  1. Spectroscope

  2. Periscope

  3. Microscope

  4. Telescope


Correct Option: D
Explanation:

Clearly Telescope instrument used for seeing details of celestial bodies.

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