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A new unit of length is chosen such that...

A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance ?

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A new unit of length is chosen such that the speed of light in vecuum is unity. What is the distance between the sun and the earth in terms of the new unit, if light takes 8 min and 20 sec. to cover the distance ?

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Two stars bound together by gravity orbit othe because of their mutual attraction. Such a pair of stars is referred to as a binary star system. One type of binary system is that of a black hole and a companion star. The black hole is a star that has cullapsed on itself and is so missive that not even light rays can escape its gravitational pull therefore when describing the relative motion of a black hole and companion star, the motion of the black hole can be assumed negligible compared to that of the companion. The orbit of the companion star is either elliptical with the black hole at one of the foci or circular with the black hole at the centre. The gravitational potential energy is given by U=-GmM//r where G is the universal gravitational constant, m is the mass of the companion star, M is the mass of the black hole, and r is the distance between the centre of the companion star and the centre of the black hole. Since the gravitational force is conservative. The companion star and the centre of the black hole, since the gravitational force is conservative the companion star's total mechanical energy is a constant. Because of the periodic nature of of orbit there is a simple relation between the average kinetic energy ltKgt of the companion star Two special points along the orbit are single out by astronomers. Parigee isthe point at which the companion star is closest to the black hole, and apogee is the point at which is the farthest from the black hole. Q. For circular orbits the potential energy of the companion star is constant throughout the orbit. if the radius of the orbit doubles, what is the new value of the velocity of the companion star?

A trinary star system which is a system of three orbiting around centre of mass of system has time peroid of 3 years, while the distance between any two stars of the system is 2 astronomical unit. All the three stars are identical and mass of the sun is M and total mass of this multiple star system is (a)/(b)xxM . Then find (b)/(3) ? (a and b are lowest possible integers (I astronomical unit is equal to distance between sun and earth, time period of rotation of earth around sun is 1year)

A student performs an experiment to determine how the range of a ball depends on the velocity with which it is projected. The "range" is the distance between the points where the ball lends and from where it was projected, assuming it lands at the same height from which it was projected. It each trial, the student uses the same baseball, and launches it at the same angle. Table shows the experimental results. |{:("Trail","Launch speed" (m//s),"Range"(m)),(1,10,8),(2,20,31.8),(3,30,70.7),(4,40,122.5):}| Based on this data, the student then hypothesizes that the range, R, depends on the initial speed v_(0) according to the following equation : R=Cv_(0)^(n) , where C is a constant and n is another constant. The student performs another trial in which the ball is launched at speed 5.0 m//s . Its range is approximately:

A student performs an experiment to determine how the range of a ball depends on the velocity with which it is projected. The "range" is the distance between the points where the ball lends and from where it was projected, assuming it lands at the same height from which it was projected. It each trial, the student uses the same baseball, and launches it at the same angle. Table shows the experimental results. |{:("Trail","Launch speed" (m//s),"Range"(m)),(1,10,8),(2,20,31.8),(3,30,70.7),(4,40,122.5):}| Based on this data, the student then hypothesizes that the range, R, depends on the initial speed v_(0) according to the following equation : R=Cv_(0)^(n) , where C is a constant and n is another constant. The student speculates that the constant C depends on :- (i) The angle at which the ball was launched (ii) The ball's mass (iii) The ball's diameter If we neglect air resistance, then C actually depends on :-

A student performs an experiment to determine how the range of a ball depends on the velocity with which it is projected. The "range" is the distance between the points where the ball lends and from where it was projected, assuming it lands at the same height from which it was projected. It each trial, the student uses the same baseball, and launches it at the same angle. Table shows the experimental results. |{:("Trail","Launch speed" (m//s),"Range"(m)),(1,10,8),(2,20,31.8),(3,30,70.7),(4,40,122.5):}| Based on this data, the student then hypothesizes that the range, R, depends on the initial speed v_(0) according to the following equation : R=Cv_(0)^(n) , where C is a constant and n is another constant. Based on this data, the best guess for the value of n is :-

If Planck's constant (h) and speed of light in vacuum (c) are taken as two fundamental quantities, which one of the following can in addition be taken to express length, mass and time in terms of the three chosen fundamental quantities?

Spacemen Fred's spaceship (which has negligible mass) is in an elliptical orbit about planet Bob. The minimum distance between the spaceship and the planet is R, the maximum distance between the spaceship and the planet is 2R. At the point of maximum distance, spaceman fred is traveling at speed v_(0) . he then fires his thrusters so that he enters a circular orbit of radius 2R. what is his new speed?

NCERT GUJARATI-UNITS AND MEASUREMENT-EXERCISE
  1. A calorie is a unit of heat (energy in transit) and it equals about 4....

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  2. Explain this statement clearly : "To call a dimensional quantity 'la...

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  3. A new unit of length is chosen such that the speed of light in vacuum ...

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  4. Which of the following is the most precise device for measuring length...

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  5. A student measures the thickness of a human hair by looking at it thro...

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  6. You are given a thread and a metre scale. How will you estimate the di...

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  7. A screw gauge has a pitch of 1.0mm and 200 divisions on the circular s...

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  8. The mean diameter of a thin brass rod is to be measured by vernier cal...

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  9. The photograph of a house occupies an area of 1.75 cm^(2) on a 35 mm s...

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  10. State the number of significant 0.007 m^(2)

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  11. State the number of significant 2.64xx10^(24) kg

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  12. State the number of significant 0.2370 g cm^(-3)

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  13. The length , breadth and thickness of a rectangular sheet of metal are...

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  14. The mass of a box measured by a grocer's balance is 2.30 kg. Two gold ...

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  15. A physical quantity P is related to four observables a,b,c and d as fo...

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  16. A book with many printing errors contains four different formulas for ...

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  17. A famous relation in physics relates 'moving mass' m to the 'rest mass...

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  18. The unit of length conventent on the atomic scale is known as an angs...

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  19. One mole of an ideal gas at standard temperature and pressure occupies...

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  20. Explain this common observation clearly: If you look out of the window...

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