TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point
TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point
Q.13 A simple harmonic oscillator has a period T and energy E. The amplitude of the oscillator is doubled. Choose the correct answer - (1) Period and energy get doubled (2) Period gets doubled while energy remains the same (3) Energy gets doubled while period remains the same (4) Period remains the same and energy becomes 4 times. Q.14 A string of length L is fixed at one end and the 2 string makes rev/s around the vertical axis π through the fixed end as shown in the figure, then tension in the string iss –R– (1) ML (2) 2 ML (3) 4 ML (4) 16 ML θ Q.15 A particle is moving in a circular path with a constant speed v. If θ is the angular displacement, then starting from θ = 0º, the maximum and minimum changes in the momentum will occur, when value of θ is respectively- (1) 45º and 90º (2) 90º and 180º (3) 180º and 360º (4) 90º and 270º Q.16 A small cone filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. What must be the maximum period of revolution ? (1) 4s (2) 2s (3) 1s (4) 6 s Q.17 A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is mv 2 /r and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle ? 2 mv (1) × πr r 2 mv (2) 2 r (3) zero πr (4) 2 mv L Q.13 ,d ljy vkorZ nksyd dk vkorZdky T rFkk ÅtkZ E gSA nksyd dk vk;ke nqxquk dj fn;k tkrk gSA rks lgh mÙkj pqfu;s& (1) vkorZdky rFkk ÅtkZ nqxqus gks tkrs gS (2) vkorZdky nqxquk gks tkrk gS tcfd ÅtkZ ogh jgrh gS (3) ÅtkZ nqxquh gks tkrh gS tcfd vkorZdky ogh jgrk gS (4) vkorZdky ogh jgrk gS rFkk ÅtkZ 4 xquk gks tkrh gSA Q.14 L yEckbZ dh ,d Mksjh ,d fljs ls dlh gqbZ gS rFk Mksjh ds fLFkj fljs ls xqtjus okyh Å/okZ/kj v{k ds 2 pkjksa vksj rev/s djrh gS] fp=kkuqlkj] rc Mksjh esa π ruko gS& s –R– (1) ML (2) 2 ML (3) 4 ML (4) 16 ML CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 4 θ Q.15 ,d d.k fu;r pky v ls ,d o`Ùkh; iFk esa xfreku gSA ;fn θ dks.kh; foLFkkiu gS] rc θ = 0º ls izkjEHk djus ij laosx esa vf/kdre rFkk U;wure ifjorZu izkIr gksxk tc θ dk eku gS Øe'k%& (1) 45º o 90º (2) 90º o 180º (3) 180º o 360º (4) 90º o 270º Q.16 ,d NksVk 'kadq ftlesa ty Hkjk gqvk gS] 4m f=kT;k ds ,d Å/okZ/kj o`Ùk esa ?kqek;k tkrk gS rFkk ty uhps ugha fxjrk gSA blds fy, vf/kdre ?kw.kZu dky D;k gksuk pkfg, ? (1) 4s (2) 2s (3) 1s (4) 6 s Q.17 m nzO;eku dh ,d oLrq fu;r pky v ls r f=kT;k ds ,d o`Ùk esa xfr dj jgh gSA oLrq ij cy mv 2 /r gS rFkk ;g dsUnz dh vksj funsZf'kr gSA oLrq dks o`Ùk dh vk/kh ifjf/k ij pykus esa bl cy }kjk fd;k x;k dk;Z D;k gS \ 2 mv (1) × πr r 2 mv (2) 2 r (3) 'kwU; πr (4) 2 mv L
Q.18 A motorcycle moving with a velocity of 72 km h –1 on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 m. The acceleration due to gravity is 10 ms –2 . In order to avoid skidding, he must not bent with respect to the vertical plane by an angle greater than - (1) θ = tan –1 (2) (2) θ = tan –1 (6) (3) θ = tan –1 (4) (4) θ = tan –1 (25.92) Q.19 A tennis ball rolls off the top of a stair case way with a horizontal velocity u ms –1 . If the steps are b metre wide and h metre high, the ball will hit the edge of the nth step, if - 2 2hu 2hu (1) n = (2) n = 2 2 gb gb 2 2hu hu (3) n = (4) n = gb gb Q.20 A bomb is dropped on an enemy post by an aeroplane flying horizontally with a velocity of 60 kmh –1 and at a height of 490 m. At the time of dropping the bomb, how far the aeroplane should be from the enemy post so that the bomb may directly hit the target ? 400 (1) m 3 500 (2) m 3 1700 (3) m 3 (4) 498 m Q.21 If the angle of projection of a projectile is 30º, then how many times the horizontal range is larger than the maximum height ? (1) 2 (2) 3 (3) 3 4 (4) 4 3 Q.22 The distance-time graphs of a particle at time t makes angle 45º with the time axis. After two seconds, it makes an angle 60º with the time axis. What is the average acceleration of the particle ? (1) 1/2 (2) 3 / 2 (3) ( 3 − 1) / 2 (4) ( 3 + 1) / 2 Q.23 A bird flies for 4s with a velocity of | t – 2| ms –1 in a straight line, where t = time in second. It covers a distance of - (1) 8 m (2) 6 m (3) 4 m (4) 2 m 2 2 Q.18 ,d eksVjlkbfdy ,d lery lM+d ij 72 km h –1 ds osx ls pyrh gqbZ ,d fcUnq ij lM+d ij ?kqerh gS tgk¡ lM+d dh oØrk f=kT;k 20m gSA xq#Roh; Roj.k 10 ms –2 gSA fQlyus ls cpus ds fy, mls Å/okZ/kj ry ds lkis{k fuEu esa ls fdlls vf/kd dks.k ls >qduk pkfg,& (1) θ = tan –1 (2) (2) θ = tan –1 (6) (3) θ = tan –1 (4) (4) θ = tan –1 (25.92) Q.19 ,d Vsful xsan ,d lh
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Q.18 A motorcycle moving with a velocity of 72 km h –1<br />
on a flat road takes a turn on the road at a point<br />
where the radius of curvature of the road is 20 m.<br />
The acceleration due to gravity is 10 ms –2 . In<br />
order to avoid skidding, he must not bent with<br />
respect to the vertical plane by an angle greater<br />
than -<br />
(1) θ = tan –1 (2) (2) θ = tan –1 (6)<br />
(3) θ = tan –1 (4) (4) θ = tan –1 (25.92)<br />
Q.19 A tennis ball rolls off the top of a stair case way<br />
with a horizontal velocity u ms –1 . If the steps are<br />
b metre wide and h metre high, the ball will hit<br />
the edge of the nth step, if -<br />
2<br />
2hu<br />
2hu<br />
(1) n = (2) n =<br />
2<br />
2<br />
gb<br />
gb<br />
2<br />
2hu<br />
hu<br />
(3) n = (4) n =<br />
gb<br />
gb<br />
Q.20 A bomb is dropped on an enemy post by an<br />
aeroplane flying horizontally with a velocity of<br />
60 kmh –1 and at a height of 490 m. At the time of<br />
dropping the bomb, how far the aeroplane should<br />
be from the enemy post so that the bomb may<br />
directly hit the target ?<br />
400<br />
(1) m<br />
3<br />
500<br />
(2) m<br />
3<br />
1700<br />
(3) m<br />
3<br />
(4) 498 m<br />
Q.21 If the angle of projection of a projectile is 30º,<br />
then how many times the horizontal range is<br />
larger than the maximum height ?<br />
(1) 2 (2) 3 (3) 3 4 (4) 4 3<br />
Q.22 The distance-time graphs of a particle at time t<br />
makes angle 45º with the time axis. After two<br />
seconds, it makes an angle 60º with the time axis.<br />
What is the average acceleration of the particle ?<br />
(1) 1/2 (2) 3 / 2<br />
(3) ( 3 − 1)<br />
/ 2 (4) ( 3 + 1)<br />
/ 2<br />
Q.23 A bird flies for 4s with a velocity of | t – 2| ms –1 in<br />
a straight line, where t = time in second. It covers<br />
a distance of -<br />
(1) 8 m (2) 6 m (3) 4 m (4) 2 m<br />
2<br />
2<br />
Q.18 ,d eksVjlkbfdy ,d lery lM+d ij 72 km h –1 ds<br />
osx ls pyrh gqbZ ,d fcUnq ij lM+d ij ?kqerh gS<br />
tgk¡ lM+d dh oØrk f=kT;k 20m gSA xq#Roh; Roj.k<br />
10 ms –2 gSA fQlyus ls cpus ds fy, mls Å/okZ/kj<br />
ry ds lkis{k fuEu esa ls fdlls vf/kd dks.k ls<br />
>qduk pkfg,&<br />
(1) θ = tan –1 (2) (2) θ = tan –1 (6)<br />
(3) θ = tan –1 (4) (4) θ = tan –1 (25.92)<br />
Q.19 ,d Vsful xsan ,d lh