Home
Class 11
PHYSICS
It is claimed that two cesium clocks, it...

It is claimed that two cesium clocks, it allowed to run for 100 years, free from any distrubance, may differ by only about 0.02 s. What does this imply for the accuracy of the standard cesium clock in measuring a time -interval of 1s ?

Text Solution

Verified by Experts

Time taken t=100 years
`=100xx365.25xx24xx3600s`
`3.15576xx10^(9)`
time difference `Deltat=0.02s`
`:.` difference in 1s `=(Deltat)/(t)`
`=(0.02)/(3.15576xx10^(9))`
`=0.0063376xx10^(9)`
`~~6.34xx10^(-12)`
`:.` Standard cesium clock measures `10^(-12)` part of 1s with accuracy.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICALS) (NUMERICAL FROM DARPAN BASED ON TEXTBOOK)|1 Videos
  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICALS) (QUESTIONS)|29 Videos
  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -B (NUMERICALS) (NUMERICAL FROM TEXTUAL EXERCISE)|32 Videos
  • THERMODYANMICS

    KUMAR PRAKASHAN|Exercise Question Paper|11 Videos
  • WAVES

    KUMAR PRAKASHAN|Exercise SECTION-F (Questions From Module) (Sample questions for preparation of competitive exams)|23 Videos

Similar Questions

Explore conceptually related problems

The human ciculatory system can be thought of as a closed system of interconnecting pipes through which fluid is continuously circulated by two pumps the two pumps the right and left verticles of the heart, work as simple two-stroke force pumps. The muscles of the heart regulate the force by contracting and relaxing. the contraction (systole) lasts about 0.2s and a complete systole/diastole (contraction/relaxation) cycle lasts about 0.8s. For flood pressures and speeds in the normal range. the volume flow rate of blood through a blood vessel is directly proportional tot he pressure difference over a length of the vessel and to the fourth power of the radius of the vessel. The total mechanical energy per unit volume of blood just as it leaves the heart is E//V=rhogh+P+rhov^(2) Q. During intense exercise the volume of blood pumped per second by an athlete,s heart increases by a factor of 7, and his blood pressure increases by 20%/by what factor does the power output of the heart increase during exercise?

The human ciculatory system can be thought of as a closed system of interconnecting pipes through which fluid is continuously circulated by two pumps the two pumps the right and left verticles of the heart, work as simple two-stroke force pumps. The muscles of the heart regulate the force by contracting and relaxing. the contraction (systole) lasts about 0.2s and a complete systole/diastole (contraction/relaxation) cycle lasts about 0.8s. For flood pressures and speeds in the normal range. the volume flow rate of blood through a blood vessel is directly proportional tot he pressure difference over a length of the vessel and to the fourth power of the radius of the vessel. The total mechanical energy per unit volume of blood just as it leaves the heart is E//V=rhogh+P+rhov^(2) Q. The blood pressure in a capillary bed is essentially zero, allowing blood to flow extremely slowly through the tissues in order to maximize exhange of gases nutrients and waste products what is the work on 200cm^(3) of blood against gravity to bring it to the capillaries to the brain 50 cm above the heart?

The human ciculatory system can be thought of as a closed system of interconnecting pipes through which fluid is continuously circulated by two pumps the two pumps the right and left verticles of the heart, work as simple two-stroke force pumps. The muscles of the heart regulate the force by contracting and relaxing. the contraction (systole) lasts about 0.2s and a complete systole/diastole (contraction/relaxation) cycle lasts about 0.8s. For flood pressures and speeds in the normal range. the volume flow rate of blood through a blood vessel is directly proportional tot he pressure difference over a length of the vessel and to the fourth power of the radius of the vessel. The total mechanical energy per unit volume of blood just as it leaves the heart is E//V=rhogh+P+rhov^(2) Q. What is the gravitational potential energy of 8cm^(3) of blood in a 1.8 m tall man, in a blood vessel 0.3 m above his heart? (Note: The man's blood pressure is 1.3xx10^(4)N//m^(2) )

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

The period of oscillation of a simple pendulum is T = 2pisqrt(L//g) . Measured value of L is 20.0 cm known to 1mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. What is the accuracy in the determination of g?

The periodic time of simple pendulum is T=2pi sqrt((l)/(g)) . The length (l) of the pendulum is about 100 cm measured with 1mm accuracy. The periodic time is about 2s. When 100 oscillations are measured by a stop watch having the least count 0.1 second. Calcaulte the percentage error in measurement of g.

A physical quantity is a phyical property of a phenomenon , body, or substance , that can be quantified by measurement. The magnitude of the components of a vector are to be considered dimensionally distinct. For example , rather than an undifferentiated length unit L, we may represent length in the x direction as L_(x) , and so forth. This requirement status ultimately from the requirement that each component of a physically meaningful equation (scaler or vector) must be dimensionally consistent . As as example , suppose we wish to calculate the drift S of a swimmer crossing a river flowing with velocity V_(x) and of widht D and he is swimming in direction perpendicular to the river flow with velocity V_(y) relation to river, assuming no use of directed lengths, the quantities of interest are then V_(x),V_(y) both dimensioned as (L)/(T) , S the drift and D width of river both having dimension L. with these four quantities, we may conclude tha the equation for the drift S may be written : S prop V_(x)^(a)V_(y)^(b)D^(c) Or dimensionally L=((L)/(T))^(a+b)xx(L)^(c) from which we may deduce that a+b+c=1 and a+b=0, which leaves one of these exponents undetermined. If, however, we use directed length dimensions, then V_(x) will be dimensioned as (L_(x))/(T), V_(y) as (L_(y))/(T), S as L_(x)" and " D as L_(y) . The dimensional equation becomes : L_(x)=((L_(x))/(T))^(a) ((L_(y))/(T))^(b)(L_(y))^(c) and we may solve completely as a=1,b=-1 and c=1. The increase in deductive power gained by the use of directed length dimensions is apparent. From the concept of directed dimension what is the formula for a range (R) of a cannon ball when it is fired with vertical velocity component V_(y) and a horizontal velocity component V_(x) , assuming it is fired on a flat surface. [Range also depends upon acceleration due to gravity , g and k is numerical constant]

KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -B (NUMERICALS) (ADDITIONAL EXERCISE)
  1. A man walking briskly in rain with speed v must slant his umbrella for...

    Text Solution

    |

  2. It is claimed that two cesium clocks, it allowed to run for 100 years,...

    Text Solution

    |

  3. Estimate the average mass density of a sodium atom assuming its size t...

    Text Solution

    |

  4. The unit of length conventent on the nuclear scale is a fermi : 1f = 1...

    Text Solution

    |

  5. A LASER is a source of very intense, monochromatic, and unidirectional...

    Text Solution

    |

  6. A SONAR (sound navigation and ranging) uses ultrasonic waves to detect...

    Text Solution

    |

  7. The farthest objects in our universe discovered by modern astronomers ...

    Text Solution

    |

  8. It is a well known fact that during a total solar eclipse the disk of ...

    Text Solution

    |

  9. A great physicist of this century (P.A.M. Dirac) loved playing with nu...

    Text Solution

    |

  10. In experiment to measure density of a subtance mass m=(3+-0.12) kg and...

    Text Solution

    |

  11. The period of oscillation of a simple pendulum is T =2pisqrt(L/g). Mea...

    Text Solution

    |

  12. An amount of heat passing through a metallic rod in time t is given by...

    Text Solution

    |

  13. If the length of a cylinder is L = (4.00 +-0.01)cm radius r = (0.250 +...

    Text Solution

    |

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

    Text Solution

    |

  15. The electric force between two electric charges is given by F= (1)/(4p...

    Text Solution

    |

  16. Which equation are dimensionally valid out of following equations (i...

    Text Solution

    |

  17. If the velocity of light, acceleration due to gravity and normal press...

    Text Solution

    |

  18. An object is falling freely under the gravitational force. Its velocit...

    Text Solution

    |

  19. A gas bubble from an explosion under water oscillates with a period T ...

    Text Solution

    |

  20. If unit of a physical quantity is doubled, what will be its new value.

    Text Solution

    |