Home
Class 12
MATHS
For simple pendulum, T = 2pi sqrt((l)/(g...

For simple pendulum, `T = 2pi sqrt((l)/(g))` where T is the periodic time and l is the length of pendulum. If there is 4% error in the measure of periodic time then find the error percentage in the length of pendulum.

Text Solution

Verified by Experts

The correct Answer is:
`8%`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

If the length of second pendulum becomes (1)/(3) what will be its periodic time?

Periodic time for second pendulum is 1 second.

While measuring the acceleration due to gravity by a simple pendulum , a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period . His percentage error in the measurement of g by the relation g = 4 pi^(2) ( l // T^(2)) will be

How much will the length of a simple pendulum be if its time period is 3s?

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.

The period of oscillation of a simple pendulum is given by T=2pi sqrt((l)/(g)) . The length l of the pendulum is about 0.5s. The time of 100 oscillations is measured with a watch of 1 s resolution. Calcualte percentage error in measurment of g.

What would be the length of a simple pendulum on Moon if we get its period of 2s?

The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are 3% and 2% , respectively, then find the maximum error in the measurement of the density of cube.

Time period of a simple pendulum is 2s. If its length is increased by 4 times, then its period becomes……….

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. What is the maximum slope of the curve y=-x^(3)+3x^(2)+2x-27 ? Also fi...

    Text Solution

    |

  2. Find the co-ordinates of a point on the parabola y=x^(2)+7x+2 which is...

    Text Solution

    |

  3. The total area of a page is 150 square inchese. The combined width of ...

    Text Solution

    |

  4. The three sides of a trapezium are equal, each being 6 cm long. Find t...

    Text Solution

    |

  5. In a right angle triangle, the sum of hypotenuous and one side is give...

    Text Solution

    |

  6. Show that a triangle of maximum area that can be inscribed in a circle...

    Text Solution

    |

  7. The circle x^(2)+y^(2)=1 cats the X - axis at P and Q. Another circle ...

    Text Solution

    |

  8. Two roads OA and OB intersect at an angle 60^(@). A car driver approac...

    Text Solution

    |

  9. Find the interval in which the function f(x)=x^(4)+32x is increasing o...

    Text Solution

    |

  10. Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other.

    Text Solution

    |

  11. Prove that the slope of tangent at any point of the curve y=6x?^(3)+15...

    Text Solution

    |

  12. Prove that f(x)=((1)/(x))^(x) has local maximum at x=(1)/(e ).x in R^(...

    Text Solution

    |

  13. For simple pendulum, T = 2pi sqrt((l)/(g)) where T is the periodic tim...

    Text Solution

    |

  14. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

    Text Solution

    |

  15. Prove that the function f(x)=2|x-1|+3|x-4| is decreasing in the intrer...

    Text Solution

    |

  16. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  17. Prove that in all rectangles with given area, the perimeter of square ...

    Text Solution

    |

  18. The equation of a particle in motion is S=(1)/(4)t^(4)-2t^(3)+4t^(2)-7...

    Text Solution

    |

  19. At which point the curve y=-x^(3)+3x^(2)+2x-27 has maximum slope ? How...

    Text Solution

    |

  20. Water comes out from a conical funnel at the rate of 5 cm^(3)//s. When...

    Text Solution

    |