{"id":87878,"date":"2025-06-01T06:56:10","date_gmt":"2025-06-01T06:56:10","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87878"},"modified":"2025-06-01T06:56:10","modified_gmt":"2025-06-01T06:56:10","slug":"a-wooden-box-of-mass-2-kg-and-dimensions-30-cm-times-15-cm-times","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-wooden-box-of-mass-2-kg-and-dimensions-30-cm-times-15-cm-times\/","title":{"rendered":"A wooden box of mass 2 kg and dimensions (30 cm $\\times$ 15 cm $\\times"},"content":{"rendered":"

A wooden box of mass 2 kg and dimensions (30 cm $\\times$ 15 cm $\\times$ 10 cm) is placed on a table with sides 30 cm and 10 cm touching the tabletop. Which one of the following is the approximate pressure exerted on the table?<\/p>\n

[amp_mcq option1=”111.1 N\/m$^2$” option2=”222.2 N\/m$^2$” option3=”333.3 N\/m$^2$” option4=”666.6 N\/m$^2$” correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is D.
\n<\/section>\n
\nPressure is defined as force per unit area ($P = F\/A$). The force exerted by the box on the table is its weight ($F = mg$). The area is the contact area between the box and the table.
\n<\/section>\n
\nMass of the box $m = 2$ kg.
\nAssume acceleration due to gravity $g \\approx 10$ m\/s$^2$ for approximation, as is common in such problems.
\nForce (weight) $F = mg = 2 \\text{ kg} \\times 10 \\text{ m\/s}^2 = 20 \\text{ N}$.
\nThe dimensions of the box are 30 cm $\\times$ 15 cm $\\times$ 10 cm.
\nThe box is placed with sides 30 cm and 10 cm touching the tabletop. The contact area is $A = (30 \\text{ cm}) \\times (10 \\text{ cm})$.
\nConvert area to square meters: $A = (0.30 \\text{ m}) \\times (0.10 \\text{ m}) = 0.03 \\text{ m}^2$.
\nPressure $P = F \/ A = 20 \\text{ N} \/ 0.03 \\text{ m}^2 = 20 \/ (3\/100) \\text{ N\/m}^2 = (20 \\times 100) \/ 3 \\text{ N\/m}^2 = 2000 \/ 3 \\text{ N\/m}^2$.
\n$2000 \/ 3 \\approx 666.67 \\text{ N\/m}^2$.
\nLooking at the options, 666.6 N\/m$^2$ is the closest value.
\nIf $g = 9.8$ m\/s$^2$ was used, $F = 2 \\times 9.8 = 19.6$ N. $P = 19.6 \/ 0.03 = 1960 \/ 3 \\approx 653.33$ N\/m$^2$. 666.6 is still the closest option, suggesting $g=10$ m\/s$^2$ was intended.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A wooden box of mass 2 kg and dimensions (30 cm $\\times$ 15 cm $\\times$ 10 cm) is placed on a table with sides 30 cm and 10 cm touching the tabletop. Which one of the following is the approximate pressure exerted on the table? [amp_mcq option1=”111.1 N\/m$^2$” option2=”222.2 N\/m$^2$” option3=”333.3 N\/m$^2$” option4=”666.6 N\/m$^2$” correct=”option4″] … <\/p>\n

Detailed SolutionA wooden box of mass 2 kg and dimensions (30 cm $\\times$ 15 cm $\\times<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1093],"tags":[1108,1129,1128],"class_list":["post-87878","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nA wooden box of mass 2 kg and dimensions (30 cm $\\times$ 15 cm $\\times<\/title>\n<meta name=\"description\" content=\"The correct option is D. Pressure is defined as force per unit area ($P = F\/A$). The force exerted by the box on the table is its weight ($F = mg$). 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