Q87.If [⋅] represents the greatest integer function, then the value of ∫ 0√π
What This Question Tests
This question tests the evaluation of a definite integral involving the greatest integer function, requiring careful breaking of the integration interval based on the integer values of x².
Concepts Tested
Formulas Used
∫[a,b] f(x) dx = ∫[a,c] f(x) dx + ∫[c,b] f(x) dx
Properties of greatest integer function
📚 NCERT Sections This Tests
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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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6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
11.3 — The Photoelectric Cut-Off Voltage In A Certain Experiment Is 1.5 V.
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11.3 The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?
📋 Question Details
- Chapter
- Calculus
- Topic
- Definite Integration & Area
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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