Home
Class 11
PHYSICS
If the formula for a physical quantity i...

If the formula for a physical quantity is `W=(a^(4)b^(3))/(c^(2)sqrt(d))` and if percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. Find the percentage error in W.

A

1%

B

16%

C

18%

D

12%

Text Solution

Verified by Experts

`(DeltaW)/(W)=4(Deltaa)/(a)+3(Deltab)/(h)+2(Deltac)/(2)+(1)/(2)(Deltad)/(d)`
`=4(1%)+3(2%)+(1)/(2)(4%)`
18%
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise Section -F (Questions from Module )|20 Videos

  • UNITS AND MEASUREMENT

    KUMAR PRAKASHAN|Exercise SECTION -D (NECERT EXEMPLAR SOLUTIONS) (Long Answer Type Questions)|9 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

Formula W=(a^(4)b^(3))/(c^(1)/(3) sqrt(d)) and if percentage error in the measurement of a, b, c d are 2%, 1%, 6% and 4% respectively, then calculate the percentage error in W.

A physical quantity X is related to four measurable quantities a, b, c and d as follows X=a^(2)b^(3)c^((5)/(2))d^(-2) . The percentange 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 P is related to four observables a,b,c and d as follows: P = a^(3)b^(2)/(sqrtcd) The percentage errors of measurement in 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 the above relation turns out to be 3.763, to what value should you round off the result ?

A physical quantity X is give by the relation X = (2k^(3)l^(2))/(msqrt(n)) The percentage error in the meansurement of k ,I,m and n are 1% ,2%, 3% and 4% respectively The value of X is uncertain by

If the percentage errors of A,B,and C are a, b, and c, respectively ,then the total percentage error in the product ABC is

Percentage error in measurement of (125pm0.5) cm will be……….

The resistance R of a wire is given by the relation R= (rhol)/( pir^(2)) . Percentage error in the measurement of rho, l and r is 1 % , 2% and 3% respectively. Then the percentage error in the measurement of R is

A physical quantity is given by X=[M^(a)L^(b)T^(c)] . The percentage error in measurement of M,L and T are alpha, beta, gamma respectively. Then the maximum % error in the quantity X is

A physical quantity X is represented by X = (M^(x) L^(-y) T^(-z) . The maximum percantage errors in the measurement of M , L , and T , respectively , are a% , b% and c% . The maximum percentage error in the measurement of X will be

KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -E (MULTIPLE CHOICE QUESTIONS (MCQS) (MCQS ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
  1. A heavenly body is observed from two diametrically opposite points A a...

    Text Solution

    |

  2. The electric force between two electric charges is given by F=k(q(1)q(...

    Text Solution

    |

  3. If the formula for a physical quantity is W=(a^(4)b^(3))/(c^(2)sqrt(d)...

    Text Solution

    |

  4. 1 MKS unit of power = ....... CGS unit of power.

    Text Solution

    |

  5. In the equation b=a^(2) cos^(2)((2pi beta gamma)/(alpha)). If the unit...

    Text Solution

    |

  6. When a current of (5 +- 0.5)A flows through a wire, it develops a pote...

    Text Solution

    |

  7. 1 fm=... nm

    Text Solution

    |

  8. The dimensional formula of energy propagated per unit area at a given ...

    Text Solution

    |

  9. Numbers of significant figures in 4.033 and 0.004033 are ...... respec...

    Text Solution

    |

  10. If frequency (F), velocity (v) and density (D) are considered as funda...

    Text Solution

    |

  11. Dimensional formula of thermal resistance R(H).....

    Text Solution

    |

  12. In (P+(a)/(V^(2)))(V-b)=RT equation the, a,b will be ..... Where P= Pr...

    Text Solution

    |

  13. 1g=.... Amu

    Text Solution

    |

  14. If Z=A^(4) then relatie error in Z is .....

    Text Solution

    |

  15. ..... is the dimensional formula fo Gravitational potential energy.

    Text Solution

    |

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

    Text Solution

    |

  17. Light propagates rectilinearly, due to

    Text Solution

    |

  18. Unit of thermal resistane is .... And its dimensional formula is ....

    Text Solution

    |

  19. Formula W=(a^(4)b^(3))/(c^(1)/(3) sqrt(d)) and if percentage error in ...

    Text Solution

    |

  20. 100 g cms^(-1)=x Ns then x=....

    Text Solution

    |