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TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point

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Q.13 A simple harmonic oscillator has a period T and<br />

energy E. The amplitude of the oscillator is<br />

doubled. Choose the correct answer -<br />

(1) Period and energy get doubled<br />

(2) Period gets doubled while energy remains the<br />

same<br />

(3) Energy gets doubled while period remains the<br />

same<br />

(4) Period remains the same and energy becomes<br />

4 times.<br />

Q.14 A string of length L is fixed at one end and the<br />

2<br />

string makes rev/s around the vertical axis<br />

π<br />

through the fixed end as shown in the figure, then<br />

tension in the string iss<br />

–R–<br />

(1) ML (2) 2 ML<br />

(3) 4 ML (4) 16 ML<br />

θ<br />

Q.15 A particle is moving in a circular path with a<br />

constant speed v. If θ is the angular displacement,<br />

then starting from θ = 0º, the maximum and<br />

minimum changes in the momentum will occur,<br />

when value of θ is respectively-<br />

(1) 45º and 90º (2) 90º and 180º<br />

(3) 180º and 360º (4) 90º and 270º<br />

Q.16 A small cone filled with water is revolved in a<br />

vertical circle of radius 4 m and the water does<br />

not fall down. What must be the maximum period<br />

of revolution ?<br />

(1) 4s (2) 2s (3) 1s (4) 6 s<br />

Q.17 A body of mass m is moving in a circle of radius r<br />

with a constant speed v. The force on the body is<br />

mv 2 /r and is directed towards the centre. What is<br />

the work done by this force in moving the body<br />

over half the circumference of the circle ?<br />

2<br />

mv<br />

(1) × πr<br />

r<br />

2<br />

mv<br />

(2)<br />

2<br />

r<br />

(3) zero<br />

πr<br />

(4)<br />

2<br />

mv<br />

L<br />

Q.13 ,d ljy vkorZ nksyd dk vkorZdky T rFkk ÅtkZ<br />

E gSA nksyd dk vk;ke nqxquk dj fn;k tkrk gSA<br />

rks lgh mÙkj pqfu;s&<br />

(1) vkorZdky rFkk ÅtkZ nqxqus gks tkrs gS<br />

(2) vkorZdky nqxquk gks tkrk gS tcfd ÅtkZ ogh<br />

jgrh gS<br />

(3) ÅtkZ nqxquh gks tkrh gS tcfd vkorZdky ogh<br />

jgrk gS<br />

(4) vkorZdky ogh jgrk gS rFkk ÅtkZ 4 xquk gks<br />

tkrh gSA<br />

Q.14 L yEckbZ dh ,d Mksjh ,d fljs ls dlh gqbZ gS rFk<br />

Mksjh ds fLFkj fljs ls xqtjus okyh Å/okZ/kj v{k ds<br />

2<br />

pkjksa vksj rev/s djrh gS] fp=kkuqlkj] rc Mksjh esa<br />

π<br />

ruko gS&<br />

s<br />

–R–<br />

(1) ML (2) 2 ML<br />

(3) 4 ML (4) 16 ML<br />

CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 4<br />

θ<br />

Q.15 ,d d.k fu;r pky v ls ,d o`Ùkh; iFk esa xfreku<br />

gSA ;fn θ dks.kh; foLFkkiu gS] rc θ = 0º ls izkjEHk<br />

djus ij laosx esa vf/kdre rFkk U;wure ifjorZu<br />

izkIr gksxk tc θ dk eku gS Øe'k%&<br />

(1) 45º o 90º (2) 90º o 180º<br />

(3) 180º o 360º (4) 90º o 270º<br />

Q.16 ,d NksVk 'kadq ftlesa ty Hkjk gqvk gS] 4m f=kT;k<br />

ds ,d Å/okZ/kj o`Ùk esa ?kqek;k tkrk gS rFkk ty<br />

uhps ugha fxjrk gSA blds fy, vf/kdre ?kw.kZu<br />

dky D;k gksuk pkfg, ?<br />

(1) 4s (2) 2s (3) 1s (4) 6 s<br />

Q.17 m nzO;eku dh ,d oLrq fu;r pky v ls r f=kT;k ds<br />

,d o`Ùk esa xfr dj jgh gSA oLrq ij cy mv 2 /r gS<br />

rFkk ;g dsUnz dh vksj funsZf'kr gSA oLrq dks o`Ùk dh<br />

vk/kh ifjf/k ij pykus esa bl cy }kjk fd;k x;k<br />

dk;Z D;k gS \<br />

2<br />

mv<br />

(1) × πr<br />

r<br />

2<br />

mv<br />

(2)<br />

2<br />

r<br />

(3) 'kwU;<br />

πr<br />

(4)<br />

2<br />

mv<br />

L

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