Home
Class 12
PHYSICS
In an experiment four quantities a,b,c a...

In an experiment four quantities a,b,c and d are measure with percentage error `1% , 2% , 3%`,and `4%` respectively quantity is P is calculate as follow
`P = (a^(3)b^(2))/(cd) %` error in `P` is

A

`10%`

B

`7%`

C

`4%`

D

`14%`

Text Solution

Verified by Experts

The correct Answer is:
D
`P=(a^(3)b^(2))/(cd), (DeltaP)/(P)xx100%=3(Deltaa)/(a)xx100%+2(Deltab)/(b)xx100%+(Deltac)/(c)xx100%+(Deltad)/(d)xx100%`
`=3xx1%+2xx2%+3%+4%=14%`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 1 : Concept Builder (Topicwise)(Topic 3 : Dimensions of Physical Quantities)|22 Videos

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 1 : Concept Builder (Topicwise)(Topic 1 : Units of Physical Quantities)|20 Videos

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|28 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|26 Videos

Similar Questions

Explore conceptually related problems

If percentage error in a, b, c, d are 1% 2% 3% and 4% respectively. What will be the percentage error in X= (a^(1//3)b^4)/(cd^(2//3))

A physical quantity P = (sqrt(abc^2) )/(d^3 e^(1//3) ) is determined by measuring a,b,c,d and e separately with the percentage error of 2%, 3% , 2%, 1% and 6% respectively. Minimum amount of error is contributed by the measurement of :

Knowledge Check

  • In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P = (a^3 b^2)/(cd) . % error in P is:

    A
    `4%`
    B
    `14%`
    C
    `10%`
    D
    `7%`

  • An experiment measures quantities a, b and c and X is calculated from X= ab^(2)//c^(3) . If the percentage error in a, b and c are pm 1%, pm 3% and pm 2% respectively, the percentage error in X will be-

    A
    `pm 13 % `
    B
    `pm 7 % `
    C
    `pm 4 % `
    D
    `pm 1 %`

  • An experiment measure quantities x,y,z and then t is in calculate from the data as t = (xy^(2))/(z^(2)) if percentage error in x,y,z and are respectively 1% ,3%,2% then percentage error in t is

    A
    `10%`
    B
    `4%`
    C
    `7%`
    D
    `13%`

    • Similar Questions

    Explore conceptually related problems

    If P=a^2*b^3*c*d^1/2 and the percentage error in a,b,c and d are 1%,2%,3% and 4% respectively.Find percentage error in P.

    An experiment measures quantities a , b , c and x the value of x is calculated from x=ab//c^(3) . If the maximum percentage error in a , b and c are 1% , 1% and 2% respectively, then

    If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

    If X=(a^(3)b^(2))/(sqrt(c)d) and percentage errors in a, b, c and d are 1%, 2%, 4% and 4% respectively, then the error in X will be

    An experiment measures quantites a, b, c and X is calculated from the formula X = (ab^(2))/(c^(3)) If the percentage errors in a,b,c are +- 1%, +- 3%, +- 2% respectively, the perentage error in X can be

    Home
    Profile