{"id":87356,"date":"2025-06-01T06:41:35","date_gmt":"2025-06-01T06:41:35","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87356"},"modified":"2025-06-01T06:41:35","modified_gmt":"2025-06-01T06:41:35","slug":"two-bodies-a-and-b-are-moving-with-equal-velocities-the-mass-of-b-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-bodies-a-and-b-are-moving-with-equal-velocities-the-mass-of-b-is\/","title":{"rendered":"Two bodies A and B are moving with equal velocities. The mass of B is"},"content":{"rendered":"

Two bodies A and B are moving with equal velocities. The mass of B is double that of A. In this context, which one of the following statements is correct?<\/p>\n

[amp_mcq option1=”Momentum of B will be double that of A.” option2=”Momentum of A will be double that of B.” option3=”Momentum of B will be four times that of A.” option4=”Momenta of both A and B will be equal.” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct answer is A) Momentum of B will be double that of A.
\n<\/section>\n
\nMomentum (p) of an object is defined as the product of its mass (m) and velocity (v): p = m * v. Given that both bodies A and B are moving with equal velocities (v_A = v_B = v) and the mass of B is double that of A (m_B = 2 * m_A).
\n<\/section>\n
\nCalculating the momentum for each body:
\nMomentum of A: p_A = m_A * v_A = m_A * v
\nMomentum of B: p_B = m_B * v_B = (2 * m_A) * v = 2 * (m_A * v)
\nComparing p_B with p_A, we find that p_B = 2 * p_A. Therefore, the momentum of B will be double that of A.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Two bodies A and B are moving with equal velocities. The mass of B is double that of A. In this context, which one of the following statements is correct? [amp_mcq option1=”Momentum of B will be double that of A.” option2=”Momentum of A will be double that of B.” option3=”Momentum of B will be four … <\/p>\n

Detailed SolutionTwo bodies A and B are moving with equal velocities. The mass of B is<\/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":[1098,1129,1128],"class_list":["post-87356","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1098","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nTwo bodies A and B are moving with equal velocities. The mass of B is<\/title>\n<meta name=\"description\" content=\"The correct answer is A) Momentum of B will be double that of A. Momentum (p) of an object is defined as the product of its mass (m) and velocity (v): p = m * v. Given that both bodies A and B are moving with equal velocities (v_A = v_B = v) and the mass of B is double that of A (m_B = 2 * m_A).\" \/>\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\/two-bodies-a-and-b-are-moving-with-equal-velocities-the-mass-of-b-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two bodies A and B are moving with equal velocities. The mass of B is\" \/>\n<meta property=\"og:description\" content=\"The correct answer is A) Momentum of B will be double that of A. Momentum (p) of an object is defined as the product of its mass (m) and velocity (v): p = m * v. 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