Q62.If the minimum value of ๐๐ฅ= 5๐ฅ2 + ๐ผ ๐ฅ> 0, is 14, then the value of ๐ผ is equal to 2 ๐ฅ5, (1) 32 (2) 64 (3) 128 (4) 256 2
What This Question Tests
This question tests the ability to find the minimum value of a function using either AM-GM inequality or calculus (derivatives) for optimization, and then solve for an unknown constant.
Concepts Tested
Formulas Used
AM >= GM
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 ยท Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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.
๐ Question Details
- Chapter
- Applications of Derivatives
- Topic
- Minimum value of a function
- Year
- 2022
- Shift
- 28 Jul Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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