Home
Class 12
PHYSICS
A physical quantity z depends of four ob...

A physical quantity z depends of four obserbles a, b, c and d, as `z = (a^2b^(2/3))/(sqrtc d^3)`. The percentages of error in the measurement of a,b,c and d are 2%, 1.5%, 4% and 2.5% respectively. The percentage of error in z is :

A

0.1225

B

0.165

C

0.135

D

0.145

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Chemistry|1 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Physics (Section B )|10 Videos

Similar Questions

Explore conceptually related problems

A physical quantity P is related to four observables a, b, c and d as P=a^(3)b^(2)//sqrtcd . The percentage errors in the measurements of a, b, c and d are 1%, 3% 4% and 2% respectively. What is the percentage error in the quantity P? If the value of P calculated using this formula turns out to be 3.763 , to what value should you round off the result?

A physical quantity A is related to four observable a,b,c and d as follows, A=(a^2b^3)/(csqrtd) , the percentage errors of measurement is a,b,c and d,are 1% , 3% , 2% and 2% respectively. What is the percentage error in the quantity A?

A physical quantity P is related to four observables A, B, C and D as P=4pi^(2)A^(3)B^(2)//(sqrt(C)D) . The percentage error of the measurement in A, B, C and D are 1%, 3%, 2% and 4% respectively. The percentage error is 2a% and absolute error in the quantity P is b/2 . Find 'a' and 'b' if value of P is 3.57.

A physical quantitiy X is related to four measurable quantities, a,b,c and d as give X=a^(2)b^(3)c^(5//2)d^(-2) . The percentage error in the measurement of a,b,c and d are 1%,2%,2% and 4% respectively. What is the percentage error in quantitiy X?

A physical quantity X is related to four measurable quantities a,b,c and d as follows X=a^2b^3c^((5)/(2))d^-2 . The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% repectively. What is the percentage erroe in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.

A physical quantity P is related to four observables A, B, C and D as P=4pi^(2)A^(3)B^(2)//(sqrt(C)D) the percentage error of the measurement in A, B, C and D are 1%,3% and 2%, 4% respectively. Determine the percenrage error & absolute error in the quantity P. Value of P is calculated 3.763.

A physcial quantity X is related to four measurable quantites a, b, c and d as follows : X = a^2 b^3 c^(5//2) d^(-2) The percentage error in the measurement of a, b, c and d are 1% , 2%, 3% and 4%, respectively. What is the percentage error in quantity X ? if the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result ?

A physical quantity Q is found ot depend on observables x, y and z obeying relation Q=(x^(3)y^(2))/(z). The percentage error in the measurments of x, y and z are 1%,2%and 4% respectively. What is percentage error in the quantity Q?

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-PHYSICS
  1. Number of molecules in a volumne of 4 cm^3 of a perfect monoatomic gas...

    Text Solution

    |

  2. A square loop of side 2a and carrying current I is kept in xz plane wi...

    Text Solution

    |

  3. A physical quantity z depends of four obserbles a, b, c and d, as z = ...

    Text Solution

    |

  4. A shell of relative density 27/9 w.r.t water is just submerged in wat...

    Text Solution

    |

  5. In a resonance tube experiment when the tube is filled with water up t...

    Text Solution

    |

  6. An electrical power line, having a total resistance of 2Omega, deliver...

    Text Solution

    |

  7. A bullet of mass 5 g travelling with a speed of 210 m/s, strikes a fix...

    Text Solution

    |

  8. A force vecF = (hati + 2hatj +3hatk)N acts at a point (4hati + 3hatj -...

    Text Solution

    |

  9. A beam of electrons of energy E scatters from a target having atomic s...

    Text Solution

    |

  10. A particle of mass 220 meV//c^2 collides with a hydrogen tom at rest. ...

    Text Solution

    |

  11. A compound microscope consists of an objective lens of focal length 1 ...

    Text Solution

    |

  12. Two concentric circular coils, C1 and C2, are ploced in the XY plane. ...

    Text Solution

    |

  13. A screw gauge has 50 divisions on its circular scale. The circular sca...

    Text Solution

    |

  14. A sound source S is moving along a straight track with speed v, and is...

    Text Solution

    |

  15. Fig, here shows P and Q as two equally intense coherent sources emitti...

    Text Solution

    |

  16. If the potential energy between two molecules is given by U= -(A)/(r^6...

    Text Solution

    |

  17. An AC circuit has R= 100 Omega , C= 2 mu and L= 80 mH, connected in se...

    Text Solution

    |

  18. Charges Q1 and Q2 are at points A and B of a right angle triangle OAB ...

    Text Solution

    |

  19. Shown in the figures is a hollow icecream cone (it is open at the top)...

    Text Solution

    |

  20. Four point masses, each of mass m, are fixed at the corners of a squar...

    Text Solution

    |