Q85.If ๐๐ฅ= ๐ฅ2 + ๐'1๐ฅ+ ๐"2 and ๐๐ฅ= ๐1๐ฅ2 + ๐ฅ๐'๐ฅ+ ๐"๐ฅ, then the value of ๐4 - ๐4 is equal to _____ .
What This Question Tests
This question tests the ability to interpret functional equations involving derivatives, set up a system of linear equations from the definitions of the derivatives, and solve for unknown constants to determine the functions.
Concepts Tested
Formulas Used
d/dx(x^n) = nx^(n-1)
๐ NCERT Sections This Tests
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
13.5 โ The Q Value Of A Nuclear Reaction A + B ยฎ C + D Is Defined By
Physics Class 12 ยท Chapter 13
13.5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ mC โ md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H โ12 H+12 H (ii) 126 C+126 C โ1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
8.17 โ Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 ยท Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
๐ Question Details
- Chapter
- Differentiation
- Topic
- Functional equations and derivatives
- Year
- 2023
- Shift
- 01 Feb Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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