Q82.If ϕ(x) 1 π −3ϕ′(t))dt, 4 (4√2 (1) 4 (2) 8 6+√π 6+√π (3) 8 (4) 4 √π 6−√π
What This Question Tests
This question tests the application of the Leibniz integral rule to differentiate an integral equation, leading to a differential equation (or an equation involving the derivative of the function itself). The garbled text makes precise interpretation difficult, but the common approach involves differentiation and solving for the derivative.
Concepts Tested
Formulas Used
d/dx ∫_a(x)^b(x) f(t) dt = f(b(x))b'(x) - f(a(x))a'(x)
📚 NCERT Sections This Tests
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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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.
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11.6 The threshold frequency for a certain metal is 3.3 × 1014 Hz. If light of frequency 8.2 × 1014 Hz is incident on the metal, predict the cut- off voltage for the photoelectric emission.
📋 Question Details
- Chapter
- Calculus
- Topic
- Definite Integration & Differential Equations
- Year
- 2023
- Shift
- 31 Jan Shift 2
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals; Ch 9: Differential Equations
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