Question

Measurement of the length of a table with a metre scale gave the following readings: 1.320 m, 1.324 m, 1.317 m, 1.321 m and 1.319 m. Find the Absolute Error, Relative Error and Percentage Error.​

Answer 1

Answer:

11th

Physics

Units and Measurement

Errors in Measurement

The length, breadth and thi...

PHYSICS

avatar

Asked on December 27, 2019 by

Mukhilan Atkare

The length, breadth and thickness of a block are measured with the help of a meter scale. given ℓ =(5.12 + 0.01)cm, b =(10.15 +0.01)cm, t=(5.28+0.01)cm. The percentage error in volume is:

MEDIUM

Share

Study later

ANSWER

Given that,

Length of the block l=(5.12+0.01)cm

Breadth of the block b=(10.15+0.01) cm

Thickness of the block t=(5.28+0.01) cm

We know that,

Relative error in volume of cuboid

V

dV

=

l

dl

+

b

db

+

t

dt

V

dV

=

5.12

0.01

+

10.15

0.01

+

5.28

0.01

V

dV

=

512

1

+

1015

1

+

528

1

Now, the percentage error in volume

V

ΔV

×100=0.48

%ΔV=0.48%

Hence, the percentage error in volume is 0.48.