Maths-
General
Easy
Question
lf the Rolle’s theorem holds for the function 
in the interval [−1, 1] for the point 
, then the value of 2a+b is
- 1
- 2
The correct answer is:
Since Rolle’s theorem holds, so 
Now
or 
(1) Since, 
Therefore,
Therefore, 
Eq (1), we get 
Thus,
Hence, the correct answer is option (B).
Related Questions to study
Physics-
If
is the frequency of the series limit of Lymanseries, 
is the frequency of the firstline of Lymanseries and
u3 is the frequency of the series limit of the Balmer seriesthen
Ifis the frequency of the series limit of Lymanseries, is the frequency of the firstline of Lymanseries and
u3 is the frequency of the series limit of the Balmer seriesthen
Physics-General
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The diagram shows the energy levels for an electron in acertainatom. Which transitionshown represents theemissionofaphotonwiththemostenergy?
The diagram shows the energy levels for an electron in acertainatom. Which transitionshown represents theemissionofaphotonwiththemostenergy?
Physics-General
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Thestopping potential
, versus frequency(v) plotofasubstance is
shown in figure, the threshold wavelengthis
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Physics-General
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Thefigureshowsaplotofphotocurrentversusanodepotentialforaphotosensitivesurfaceforthreedifferent radiations.Whichoneofthefollowingisacorrectstatement?
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Physics-General
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Lightofwavelength500nmisincidentonametalwithwork function2.28 eV. The de Broglie wavelengthof the emittedelectronis:
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Physics-General
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In an experiment on photoelectric effect, a student plotsstoppingpotentialVO against reciprocalof the wavelength
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Looking atthegraphs,youcanmostappropriatelysaythat
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Looking atthegraphs,youcanmostappropriatelysaythat
Physics-General
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Twoinsulatingplatesarebothuniformlychargedinsuchawaythatthepotentialdifferencebetweenthemis 
-
=20V.(i.e.,plate2isatahigherpotential).The plates are separatedby d =0.1mand canbe treatedasinfinitelylarge.Anelectronisreleasedfromrestontheinner surfaceofplate1.Whatisitsspeedwhenithitsplate2?
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Physics-General
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Photoelectric effect experiments are performed using three different metal plates 
and 
having work functions 
and 
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with equal intensities illuminates each of the plates. The correct 
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)
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Physics-General
Maths-
Let f be differentiable for all x. if f(1) = -2 and 
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Given 
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Maths-General
Physics-
A point source is emitting light of wavelength 6000 
isplaced at a very small height h above a flat reflecting surfaceMNasshowninthefigure.
The intensity of the reflectedlight is 36% of the incidentintensity.Interference fringes are observed on a screenplacedparalleltothereflectingsurfaceataverylargedistanceD from it. Theshapeoftheinterferencefringesonthescreenis
A point source is emitting light of wavelength 6000 isplaced at a very small height h above a flat reflecting surfaceMNasshowninthefigure.
The intensity of the reflectedlight is 36% of the incidentintensity.Interference fringes are observed on a screenplacedparalleltothereflectingsurfaceataverylargedistanceD from it. Theshapeoftheinterferencefringesonthescreenis
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The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600nm. 1,2,3,4and5aremarkedonfivefringes
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Inthefigureshownifaparallelbeam of white light is incidenton the plane of the slits thenthedistance of thenearestwhite spot on the screen fromis d/A. Find the value of A(assumed <<D,'A<<d]
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Physics-General
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The adjacent figure shows Fraunh offer's diffraction due toa single slit. If first minimum is obtained in the directionshown,thenthepath differencebetweenrays1and3is
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Physics-General
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Twocoherentpointsources
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Physics-General
