{"id":88981,"date":"2025-06-01T07:26:10","date_gmt":"2025-06-01T07:26:10","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88981"},"modified":"2025-06-01T07:26:10","modified_gmt":"2025-06-01T07:26:10","slug":"a-block-of-wood-dimensions-40-text-cm-times-20-text-cm-tim","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-block-of-wood-dimensions-40-text-cm-times-20-text-cm-tim\/","title":{"rendered":"A block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\tim"},"content":{"rendered":"

A block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\times 10 \\text{ cm}$) is kept on a tabletop in three different positions : (a) with its side of dimensions $20 \\text{ cm} \\times 10 \\text{ cm}$; (b) with its side of dimensions $10 \\text{ cm} \\times 40 \\text{ cm}$; and (c) with its side of dimensions $40 \\text{ cm} \\times 20 \\text{ cm}$. The pressure exerted by the wooden block on the tabletop in these positions is represented by $P_A$, $P_B$ and $P_C$ respectively. The pressure follows the trend<\/p>\n

[amp_mcq option1=”$P_A > P_B > P_C$” option2=”$P_A < P_B < P_C$\" option3=\"$P_A = P_B = P_C$\" option4=\"$P_A < P_B = P_C$\" correct=\"option1\"]\n\n\n\n

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This question was previously asked in<\/div>\n
UPSC NDA-2 – 2023<\/div>\n<\/div>\n
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The pressure follows the trend $P_A > P_B > P_C$.<\/section>\n
Pressure is defined as force per unit area ($P = F\/A$). The force exerted by the wooden block on the tabletop is its weight, which is constant regardless of its orientation. Therefore, the pressure exerted is inversely proportional to the area of contact. The smallest contact area will exert the highest pressure, and the largest contact area will exert the lowest pressure.<\/section>\n
The dimensions are 40 cm x 20 cm x 10 cm. The areas of contact in the three positions are:
\n(a) $A_A = 20 \\text{ cm} \\times 10 \\text{ cm} = 200 \\text{ cm}^2$
\n(b) $A_B = 10 \\text{ cm} \\times 40 \\text{ cm} = 400 \\text{ cm}^2$
\n(c) $A_C = 40 \\text{ cm} \\times 20 \\text{ cm} = 800 \\text{ cm}^2$
\nComparing the areas: $A_A < A_B < A_C$.\nSince $P \\propto 1\/A$, the corresponding pressures will be $P_A > P_B > P_C$.<\/section>\n","protected":false},"excerpt":{"rendered":"

A block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\times 10 \\text{ cm}$) is kept on a tabletop in three different positions : (a) with its side of dimensions $20 \\text{ cm} \\times 10 \\text{ cm}$; (b) with its side of dimensions $10 \\text{ cm} \\times 40 \\text{ cm}$; and (c) … <\/p>\n

Detailed SolutionA block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\tim<\/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":[1094],"tags":[1105,1129,1128],"class_list":["post-88981","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1105","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nA block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\tim<\/title>\n<meta name=\"description\" content=\"The pressure follows the trend $P_A > P_B > P_C$. Pressure is defined as force per unit area ($P = F\/A$). The force exerted by the wooden block on the tabletop is its weight, which is constant regardless of its orientation. Therefore, the pressure exerted is inversely proportional to the area of contact. The smallest contact area will exert the highest pressure, and the largest contact area will exert the lowest pressure.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-block-of-wood-dimensions-40-text-cm-times-20-text-cm-tim\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A block of wood (dimensions : $40 \\text{ cm} \\times 20 \\text{ cm} \\tim\" \/>\n<meta property=\"og:description\" content=\"The pressure follows the trend $P_A > P_B > P_C$. Pressure is defined as force per unit area ($P = F\/A$). The force exerted by the wooden block on the tabletop is its weight, which is constant regardless of its orientation. Therefore, the pressure exerted is inversely proportional to the area of contact. 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