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PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer?.

Solutions for PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

Here you can find the meaning of PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer?, a detailed solution for PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice PARAGRAPH “A”If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the error. For example, consider the relation z = x/y. If the errors in x, y and z are Δx, Δy and Δz, respectively, thenThe series expansion forto first power inΔy/y, isThe relative errors in independent variables arealways added. So the error in z will beThe above derivation makes the assumption thatΔx/x <<1,Δy/y << 1.Therefore, the higher powers of these quantities areneglected.Q. In an experiment the initial number of radioactive nuclei is 3000. It is found that 1000 ± 40 nuclei decayed in the first 1.0 s. For up to first power in x. The error Δλ, in the determination of the decay constant λ, in s-1, isa)0.04b)0.03c)0.02d)0.01Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.