Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The diameter of the ball is measured with a screw gauge, whose pitch is  and there ar

The diameter of the ball is measured with a screw gauge, whose pitch is 1 \mathrm{~mm} and there are 100 divisions on the circular scale. The density of a solid ball is to be determined in an experiment. The reading on the main scale is 3.5 \mathrm{~mm} and that on the circular scale is 10 divisions. If the measured mass of the ball has a relative error of 2 \%, the relative percentage error in the density is

Option: 1

0.9 \%


Option: 2

2.4 \%


Option: 3

3.1 \%


Option: 4

2.83 \%


Answers (1)

best_answer

Least count of the screw gauge =1 / 100=0.01 \mathrm{~mm}

Diameter of the ball, D=3.5 \mathrm{~mm}+10 \times 0.01 \mathrm{~mm}=3.5+0.1=3.6 \mathrm{~mm}

Density, \rho=\frac{M}{\mathrm{vol}}

The relative percentage error in density

=2 \%+\left(3 \times \frac{0.01}{3.7} \times 100\right)=2.83 \%

Posted by

Gunjita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question