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nK q IVIBRANT ACADEFTY _--,,,',."(rndia) private r,imitea'11'!r;:f?l+"3:["tl?T"Single Ghoice Type :1. A straight bamboo pole of length L is to be carried horizontally across a corridor, which has a 90o turn as. shown. What is the maximum posslble value of L, considering the constraints of the walls?

2.

Top viewof coridor

(A) 3f m (B) 9m 3J5m (D) None of theseTwo ideal gases X and Y are contained in a cylinder at constant temperature. The mass of the atoms of X ism and that of Y is 4m. Which one of the following is the correct value of the ratio

average translationalkinetic energy of the atom of Y ?(c) 4 (D) 16

3. Apersonvibratestheendof astringsendingtransversewavesdownthestring.lfthepersonthen'doublestherate at whlch he vibrates the string, the speed of the waves(A) Doubles and the wavelength doubled(B) Doubles while the wavelength is halved(C) ls unchanged while tle wavelength is doubled

ls unchanged while thewavelength is halved4. A trolley runs frsm point P to Q along a track, as shown in

the figure. At psint Q, its potentialenergy is 50 kJ lessthan at point P. At point R the trolley has kinetic energy 5kJ. Between P and Q, the wprk done against friction is 1 0kJ. What is the kinetic ene!'gy at point Q? (Trolley doesnot loose contact any where)

)1 (B) 2

(A)35 kJ(c)5s kJ

Subjectlve :

45 kJ(D) None of these

5.

u)A thin transparent plate of thickness 2 pm and refractive index n = 1.7 inserted in front of one of the slits inYoung's double slit exBeriment, Another plate of a transparent material of thickness 1 pm and refractive index1.55 is inserted ln frsnt of the other slit. lf the intensity at the center of the screen without the glass ptateswas 10 lo, determlne x, it the intensity at the same point is x lo after the introduction of the glass plates. Thewavelength of light used in vacuum is 6000 A. Assume that each glass plate transmits 100% of tight incidenton it. Throughout the experiment (with and without the plates), the entire system is immersed in a liquid ofindex 1.25.

Trolley

Mbrant Academy (I) hrt L6. "A-14(A)' Road No.1 , Indraprastha lndustrial Area, Kota (Raj.) Ph. 0744-242lylctr. 11I

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q3Two sources S., and S, of identical nadio antennas are placed 1 0 m apart and these radbte waves of freqdencyof 30 MHz in ail directions. What is the intensity (in miliWm2) in the direction 0 = *tt * , if the intensityin the direction 0 = 0 is 4 miliwm2. Both intensities are measured atthe same far away distance from thecenter of the two sources. Orientation of 0 is as shown in figure'

Interference pattern is formed on a screen by Young's double slits S., & S, illuminatgo o-V mono-chromaticlight of wavel'ength 1,. points P and P' are on the screen closest to and on either side of central maximum*rher" intensity is one fourth that at the central maximum. lf PP' is written in terms of 1", d and D, correct

'4. rino the value of x.expression is PP'=:*O.l

tatch the column :g. Golumn-l gives certain situations regarding a point object and its image formed by an optical instrument. Thepossible opticat instruments are concave and convex mirror or lenses as given in Column-ll. Same side ofprincipalaxis means both image and object should either be above the principal axis or both should be belowihe principalaxis as shown in figure. Same side of optical instrument means both image and object shouldbe either left of the optical instrr.rment or bofir should be on right of the optical instrument as shown in figure.Match the statements in column-l with the conesponding statements in column-ll'

principalaxislens or minor

Subje7.

q4f^.

Urb."

\2.7.

\nril3.

q3

4.

5.

?R (o)rqRJ'(

Golumn-llf point object and its image are on same side of principal axis andopposite sides of the optical instrument then the optical instrument islf point object and its image are on opposite side of principal axis andsame side of the optical instrument then the optical instrument islf point object and its image are on same side of principal axis andsame side of the optical instrument then the optical instrument islf point object and its image are on opposite side of principal axis andopposite side of the optical instrument then the optical instrument is

GolumnJl(P) Concave minor

(Q) Convexminor

(R) Concave lens

(S) Convex lens(I) Planoconvex lens

6.(B)

(c)

R!I.O'

Mbrant Acaderry (I) F t LU.'A-14(A)'Road No.1, lrdraprastha IndustrialArea, Kota (Raj.) Ph.0744*242346 I2I