Discussion
A bin of \( 40 \) m\(^3\) is filled with grain of bulk density \( 760 \) kg/m\(^3\). The mass stored is
Answer: B
Correct answer: 30.4 tonnes
Bulk density converts a bin volume straight into a mass, which is exactly what it is for:
\[ m = \rho_b V = 760 \times 40 = 30\,400\ \mathrm{kg} = 30.4\ \mathrm{t} \]
Note that no allowance for voids is needed: the air spaces are already inside the bulk density figure, which is what distinguishes it from true density. Had true density been used the answer would have been far too large. The tenfold distractor at 3.04 tonnes is simply a decimal slip, and is worth guarding against by sanity-checking the order of magnitude - a 40 m\(^3\) bin holds tens of tonnes, not a few.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development