Home
Class 11
PHYSICS
If the error in measuring the radius of ...

If the error in measuring the radius of the sphere is 2% and that in measuring its mass is 3%, Then the error in measuring the density of material of the sphere is:

A

0.05

B

0.07

C

0.09

D

0.11

Text Solution

Verified by Experts

The correct Answer is:
C
As density `=("mass")/("volume")`
`thereforerho=(M)/((4)/(3)piR^(3))=(3)/(4)(M)/(piR^(3))`
`therefore` The percentage error in density is
`(Deltarho)/(rho)xx100%=((DeltaM)/(M)+3(DeltaR)/(R))xx100%`
`=3%+3(2%)=3%+6%=9%`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NCERT FINGERTIPS|Exercise Significant Figures|10 Videos

  • UNITS AND MEASUREMENTS

    NCERT FINGERTIPS|Exercise Dimensions Of Physical Quantities|6 Videos

  • UNITS AND MEASUREMENTS

    NCERT FINGERTIPS|Exercise Measurement Of Mass|9 Videos

  • THERMODYNAMICS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • WAVES

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

If the error in the measurement of radius of a sphere is 2%. then the error in the determination of volume of the sphere will be:

The error in the measurement of the radius of a sphere is 1% . Find the error in the measurement of volume.

Knowledge Check

  • The error in measurement of radius of a sphere is 0.1% then error in its volume is -

    A
    `0.3%`
    B
    `0.4%`
    C
    `0.5%`
    D
    `0.6%`

  • If error in measuring the radius of a sphere is 1% then the error in calculating the volume of sphere would be

    A
    0.03
    B
    0.05
    C
    0.07
    D
    0.01

  • The error in the measurement of the radius of a sphere is 0.2%. What is the percentage error in the measurement of its surface area?

    A
    `0.2%`
    B
    `0.4%`
    C
    `0.6%`
    D
    `0.8%`

    • Similar Questions

    Explore conceptually related problems

    The error in the measurement of the radius of a sphere is 2%. What will be the error in the calculation of its surface area?

    If the error in the measurement of radius of a sphere in 2% then the error in the determination of volume of the spahere will be

    If there is 2% error in measuring the radius of sphere, then…………… will be the percentage error in the surface area.

    If error in measurement of radius of a sphere is 1%, what will be the error in measurement of volume?

    Percentage error in measuring the radius and mass of a solid sphere are 2 % & 1 % respectively. The error in measurement of moment of inertia about to its diameter is :-

    Home
    Profile