Home
Class 11
PHYSICS
If (2, 3, 5) is one end of a diameter...

If (2, 3, 5) is one end of a diameter of the sphere `x^2+""y^2+""z^2-6x-12 y-2z""+""20""=""0` , then the coordinates of the other end of the diameter are (1) `(4,""9,-3)` (2) `(4,-3,""3)` (3) `(4,""3,""5)` (4) `(4,""3,-3)`

Text Solution

Verified by Experts

The effective length of the pendulum = length of string + radius of bob
`=88/2+3.53/2=90.0cm`
`g=4pi^(2)1/(T^(2))`
Maximum percentage error in g is
`(Deltag)/gxx100=(Deltal)/lxx100+2xx(DeltaT)/Txx100`
But `T=t/n,(DeltaT)/T=(Deltat)/t`
`(Deltag)/gxx100=(Deltal)/lxx100+2(Deltat)/txx100`
Given `Deltal=0.1cm, l=90.0cm`
`Deltat=0.1s` (least count of stop watch ) `t=19.0s`
`(Deltag)/gxx100=0.1/90xx100+(2xx0.1)/19xx100`
`=0.11% +1.05%=1.15%`
MOre accurate measurement of diameter of bob will not give more accurate value for g. Because length of string is measured only to one decimal point.
Accuracy in g can be increased decreasing error in time period T. For this to must be increased. This means, time for large number of oscillations (say 20, 30 etc). must be measured.
Promotional Banner

Topper's Solved these Questions

  • UNITS

    ICSE|Exercise MODULE 1 (CONCEPTUAL SHORT ANSWER QUESTIONS WITH ANSWERS)|5 Videos
  • UNITS

    ICSE|Exercise MODULE 1 (LONG ANSWER QUESTIONS)|3 Videos
  • THERMAL RADIATION

    ICSE|Exercise SELECTED PROBLEMS (from WIEN.S DISPLACEMENT LAW)|14 Videos
  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise UNSOLVED PROBLEMS |79 Videos

Similar Questions

Explore conceptually related problems

If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x-12y-2z+20=0 , then the coordinates of the other end of the diameter are

If one end of a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 is (3, 4), then the coordinates of the other end of the diameter are

If one end of a diameter of the circle x^(2) + y^(2) -4x-6y +11=0 is (3, 4), then find the coordinates of the other end of the diameter.

If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15=0 , find the coordinates of the other end of the diameter.

If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2), then find the other end of the diameter.

if one end of a diameter of the ellipse 4x^(2)+y^(2)=16 is (sqrt(3),2) then the other end ,is

If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)_3x-4y+6=0 then a=

Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) = (z+4)/(3) .

If (1,-2,5) and (-3,-4, 9) are the end points of a diameter of a sphere, then the radius of the sphere is

The intercepts made by the plane 2x-3y+5z+4=0 on the coordinate exes are -2, (4)/(3) and - (4)/(5).

ICSE-UNITS-MODULE 3 (SELECTED PROBLEMS)
  1. If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...

    Text Solution

    |

  2. Relative density of a liquid is 0.8. What its density in (i) C.G.S. sy...

    Text Solution

    |

  3. Convert (i) 1Nm^(2)kg^(-2) into dyne cm^(2)g^(-2), (ii) 60Kmhr^(-1) in...

    Text Solution

    |

  4. If year is taken as the unit of time and velocity of light as the unit...

    Text Solution

    |

  5. A new unit of length is chosen such that the speed of sound at room te...

    Text Solution

    |

  6. Find the number of significant figures in the following (i) 1234 N (...

    Text Solution

    |

  7. What is the distance in km of quasar from whigh light takes 3 billion...

    Text Solution

    |

  8. The mass of sunis 2.0xx10^(30)kg and its radius is 7.0xx10^(8)m. Find...

    Text Solution

    |

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

    Text Solution

    |

  10. The length, breadth the thickness of rectangular sheet of wood are 3.2...

    Text Solution

    |

  11. The mass of a box measured by grocer's balance is 4.2 kg. Two addition...

    Text Solution

    |

  12. The mass of an electron is 9.11xx10^(-31) kg and the velocity of light...

    Text Solution

    |

  13. Each side of a cube is measured to be 6.230 m. What is the total surfa...

    Text Solution

    |

  14. The mass of a box measured by a grocer's balacne is 2.3 kg. Two gold p...

    Text Solution

    |

  15. Round off to three significant figures (i) 9.745 g (ii) 9.835 cm (iii)...

    Text Solution

    |

  16. Solve the following with regard to the correct significant figures (i)...

    Text Solution

    |

  17. The diameter of a sphere is 1.23 m. Find its volume with due regard to...

    Text Solution

    |

  18. A simple pendulum makes 100 oscillation in 25 s. What is the frequency...

    Text Solution

    |

  19. In an experiment the valno of refractive index of glass was found to b...

    Text Solution

    |

  20. Add 38.8+-0.4 and 29.7+-0.3.

    Text Solution

    |

  21. Two forces P and Q are acting on the same body. If P=(25+-0.2)N and Q=...

    Text Solution

    |