Home
Class 11
PHYSICS
If the error in the measurement of the r...

If the error in the measurement of the radius of a circular disc is 2% the error in determining the area of the disc will be

A

`4%`

B

`2%`

C

`6%`

D

`8%`

Text Solution

Verified by Experts

The correct Answer is:
A
The error in the measurement of the radius of the circular disc = 2%
Area of the disc, A = `pir^(2)`
`:. " " dA = 2pirdr`
Now `(dA)/(A) = (2pi rdr)/(pi r^(2))`
or `" " (dA)/(A) xx100 = (2dr)/(r )xx100 `
`=2xx2 = 4`
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE with solutions (WBJEE )|4 Videos

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE with solutions (JEE Main)|7 Videos

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise Integer answer type|3 Videos

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos

  • NATURE OF VIBRATION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|2 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

If the error in 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 meausrement of the radius of sphere is 2%, then the error in the determination of volume of the sphere will be—

If the error in the measurement of momentum of a particle is 50% then the error in the measurement of kinetic energy is

The measurement of angel A of the triangle ABC is 45^(@) there is an error of 1' in the measurement of the angle. Find the percentage error in the computation of the area of the triangle. [Given : 1' = 0.00291 radian].

Percentage error in the measurement of height and radius of cylinder are x and y respectively. Find percentage error in the measurement of volume. Which of the two measurements height or radius need more attention?

The radius of a balloon is 7 cm. If an error of 0.01 cm is made n measuring the radius, find the error in measuring the volume of the balloon.

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1% , the maximum error in determining the denstiy is