Q75.Let f(x) = −2 ≤x ≤0 and h(x) = f(|x|) + |f(x)| . Then ∫2−2 h(x)dx {−2,x −2, 0 < x ≤2 (1) 1 (2) 6 (3) 4 (4) 2
What This Question Tests
This question tests the ability to evaluate a definite integral over a symmetric interval by decomposing the integrand into parts and applying properties of even/odd functions and modulus functions.
Concepts Tested
Formulas Used
∫[-a,a] f(x)dx = 2∫[0,a] f(x)dx if f is even
∫[-a,a] f(x)dx = 0 if f is odd
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · 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.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
12.4 — The Ground State Energy Of Hydrogen Atom Is –13.6 Ev. What Are The
Physics Class 12 · Chapter 12
12.4 The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?
📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals and even/odd functions
- Year
- 2024
- Shift
- 04 Apr Shift 1
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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