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.24 Suppose a r and v r denote the acceleration and velocity respectively of a body in one dimensional motion, then - (a) speed must increase when a > 0 r (b) speed will increase when v r and d r are > 0 (c) speed must decreases when a < 0 r (d) speed will decrease when v < 0 r and a > 0 r (1) a, b (2) b, c (3) b, d (4) c,d Q.25 When a force of constant magnitude always acts perpendicular to the motion of a particle, then: (1) Velocity is constant (2) Acceleration is constant (3) K.E. is constant (4) None of these Q.26 A plumb line suspended from the roof of a carriage moving with an acceleration a, inclines at an angle θ with the vertical: (1) a = g tan θ (2) a = F/m (3) dv a = (4) dt 2 d x a = 2 dt Q.27 A block A of mass 2kg rests on another block B of mass 8 kg which rests on a horizontal floor. The coefficient of friction between A and B is 0.2 while that between B and floor is 0.5. When a horizontal force of 25 N is applied on the block B, the force of friction between A and B is: (1) Zero (2) 3.9 N (3) 5.0 N (4) 49 N Q.28 A false balance has equal arms. An object weighs W1 when placed in one pan and W2 when placed in the other pan. The true weight W of the object is: (1) (W1 × W2) 1/2 2 1 2 2 (2) ( W + W ) 1/ 2 (3) W + ) / 2 ( 1 2 W (4) 2W1W2/(W1 + W2) Q.24 ekuk a r rFkk v r ,d foeh; xfr esa ,d oLrq ds Øe'k% Roj.k rFkk osx dks fu#fir djrs gS] rc& (a) pky c 0 r (b) pky c 0 gS (c) pky ?kVsxh tc a < 0 r (d) pky ?kVsxh tc v < 0 r rFkk a > 0 r (1) a, b (2) b, c (3) b, d (4) c,d Q.25 tc fu;r ifjek.k dk ,d cy lnSo ,d d.k dh xfr ds yEcor~ dk;Z djrk gS] rc (1) osx fu;r gS (2) Roj.k fu;r gS (3) K.E. fu;r gS (4) buesa ls dksbZ ugha Q.26 ,d lkgqy a Roj.k ls xfreku ,d okgd dh NM+ ls Å/okZ/kj ds lkFk θ dks.k ij >qds gq;s yVdk gqvk gS] rks (1) a = g tan θ (2) a = F/m CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 6 (3) dv a = (4) dt 2 d x a = 2 dt Q.27 2kg nzO;eku dk ,d CykWd A ,d {kSfrt Q'kZ ij fojke esa fLFkr 8 kg nzO;eku ds ,d vU; CykWd ij fojke eas j[kk gSA A rFkk B ds e/; ?k"kZ.k xq.kkad 0.2 gS tcfd B rFkk Q'kZ ds e/; 0.5 gSA 25N dk ,d {kSfrt cy CykWd B ij vkjksfir fd;k tkrk gS] rks A rFkk B ds e/; ?k"kZ.k cy gS& (1) 'kwU; (2) 3.9 N (3) 5.0 N (4) 49 N Q.28 ,d =kqfV;qDr rqyk dh Hkqtk;sa leku gSA ,d oLrq W1 Hkkj n'kkZrh gSA tc ,d iyM+s ij j[kh tkrh gS rFkk W2 Hkkj n'kkZrh gS tc nwljs iyM+s ij j[kh tkrh gSA oLrq dk lgh Hkkj W gS& (1) (W1 × W2) 1/2 2 1 2 2 (2) ( W + W ) 1/ 2 (3) ( 1 2) / 2 W W + (4) 2W1W2/(W1 + W2)
Q.29 Two particles of mass m each are tied at the ends of a light string of length 2a. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance a from the centre P (as shown in the figure). Now, the mid point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x, is: F m P m a a F (1) 2m a 2 2 a − x F (2) 2m x 2 a − x (3) F 2m x a (4) F 2m 2 a − x x Q.30 A 3hp motor requires 2.4 kW to drive it; its efficiency is about: (1) 90% (2) 75% (3) 60% (4) 50% Q.31 If the potential energy of a gas molecule is M N U = − 6 12 r r , M and N being positive constants, then the potential energy at equilibrium must be: (1) zero 2 M (2) 4N 2 N (3) 4M (4) 2 MN Q.32 A force of (5 + 3x) N acting on a body of mass 20 kg a long the x-axis displaces it from x = 2m to x = 6m. The work done by the force is: (1) 20 J (2) 48 J (3)68 J (4) 86 J 4 2 2 Q.29 nks d.k izR;sd m nzO;eku ds] 2a yEckbZ dh ,d gYdh Mksjh ds fljksa ij ca/ks gSA lEiw.kZ fudk; ,d ?k"kZ.k jfgr {kSfrt lrg ij bl izdkj j[kk gS] fd Mksjh dlh jgs rkfd izR;sd nzO;eku] dsUnz P ls a nwjh ij jgsA (fp=kkuqlkj)A vc Mksjh ds e/; fcUnq dks Å/okZ/kj Åij dh vksj ,d NksVs ijUrq fu;r cy F ds lkFk [khapk tkrk gSA ifjek.kLo#i d.k lrg ij ,d nwljs dhs vksj xfr djrs gSA Roj.k dk ifjek.k tc muds e/; dh nwjh 2x gks] gS& m P m a a F (1) 2m a 2 2 a − x F (2) 2m x 2 a − x CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 7 (3) F 2m x a F (4) F 2m 2 a − x x Q.30 ,d 3hp dh eksVj dks pykus ds fy, 2.4 kW vko';d gS] rks bldh n{krk yxHkx gS& (1) 90% (2) 75% (3) 60% (4) 50% Q.31 ;fn ,d xSl v.kq dh fLFkfrt ÅtkZ M N U = − 6 12 r r gS] M rFkk N /kukRed fu;rakd gS] rc lkE; ij fLFkfrt ÅtkZ gksxh& (1) 'kwU; 2 M (2) 4N 2 N (3) 4M (4) 2 MN Q.32 20 kg dh ,d oLrq ij (5 + 3x) N dk ,d cy x-v{k ds vuqfn'k dk;Z dj jgk gSA ;g bls x = 2m ls x = 6m rd foLFkkfir dj nsrk gSA cy }kjk fd;k x;k dk;Z gS& (1) 20 J (2) 48 J (3)68 J (4) 86 J 4 2 2
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Q.24 Suppose a r and v r denote the acceleration and<br />
velocity respectively of a body in one<br />
dimensional motion, then -<br />
(a) speed must increase when a > 0<br />
r<br />
(b) speed will increase when v r and d r are > 0<br />
(c) speed must decreases when a < 0<br />
r<br />
(d) speed will decrease when v < 0<br />
r<br />
and a > 0<br />
r<br />
(1) a, b (2) b, c (3) b, d (4) c,d<br />
Q.25 When a force of constant magnitude always acts<br />
perpendicular to the motion of a particle, then:<br />
(1) Velocity is constant<br />
(2) Acceleration is constant<br />
(3) K.E. is constant<br />
(4) None of these<br />
Q.26 A plumb line suspended from the roof of a<br />
carriage moving with an acceleration a, inclines<br />
at an angle θ with the vertical:<br />
(1) a = g tan θ (2) a = F/m<br />
(3)<br />
dv<br />
a = (4)<br />
dt<br />
2<br />
d x<br />
a =<br />
2<br />
dt<br />
Q.27 A block A of mass 2kg rests on another block B<br />
of mass 8 kg which rests on a horizontal floor.<br />
The coefficient of friction between A and B is<br />
0.2 while that between B and floor is 0.5. When a<br />
horizontal force of 25 N is applied on the block<br />
B, the force of friction between A and B is:<br />
(1) Zero (2) 3.9 N<br />
(3) 5.0 N (4) 49 N<br />
Q.28 A false balance has equal arms. An object<br />
weighs W1 when placed in one pan and W2<br />
when placed in the other pan. The true weight<br />
W of the object is:<br />
(1) (W1 × W2) 1/2<br />
2<br />
1<br />
2<br />
2<br />
(2) ( W + W )<br />
1/<br />
2<br />
(3) W + ) / 2<br />
( 1 2 W<br />
(4) 2W1W2/(W1 + W2)<br />
Q.24 ekuk a r rFkk v r ,d foeh; xfr esa ,d oLrq ds<br />
Øe'k% Roj.k rFkk osx dks fu#fir djrs gS] rc&<br />
(a) pky c 0<br />
r<br />
(b) pky c 0 gS<br />
(c) pky ?kVsxh tc a < 0<br />
r<br />
(d) pky ?kVsxh tc v < 0<br />
r<br />
rFkk a > 0<br />
r<br />
(1) a, b (2) b, c (3) b, d (4) c,d<br />
Q.25 tc fu;r ifjek.k dk ,d cy lnSo ,d d.k dh<br />
xfr ds yEcor~ dk;Z djrk gS] rc<br />
(1) osx fu;r gS<br />
(2) Roj.k fu;r gS<br />
(3) K.E. fu;r gS<br />
(4) buesa ls dksbZ ugha<br />
Q.26 ,d lkgqy a Roj.k ls xfreku ,d okgd dh NM+ ls<br />
Å/okZ/kj ds lkFk θ dks.k ij >qds gq;s yVdk gqvk gS] rks<br />
(1) a = g tan θ (2) a = F/m<br />
CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 6<br />
(3)<br />
dv<br />
a = (4)<br />
dt<br />
2<br />
d x<br />
a =<br />
2<br />
dt<br />
Q.27 2kg nzO;eku dk ,d CykWd A ,d {kSfrt Q'kZ ij<br />
fojke esa fLFkr 8 kg nzO;eku ds ,d vU; CykWd ij<br />
fojke eas j[kk gSA A rFkk B ds e/; ?k"kZ.k xq.kkad 0.2<br />
gS tcfd B rFkk Q'kZ ds e/; 0.5 gSA 25N dk ,d<br />
{kSfrt cy CykWd B ij vkjksfir fd;k tkrk gS] rks<br />
A rFkk B ds e/; ?k"kZ.k cy gS&<br />
(1) 'kwU; (2) 3.9 N<br />
(3) 5.0 N (4) 49 N<br />
Q.28 ,d =kqfV;qDr rqyk dh Hkqtk;sa leku gSA ,d oLrq<br />
W1 Hkkj n'kkZrh gSA tc ,d iyM+s ij j[kh tkrh gS<br />
rFkk W2 Hkkj n'kkZrh gS tc nwljs iyM+s ij j[kh<br />
tkrh gSA oLrq dk lgh Hkkj W gS&<br />
(1) (W1 × W2) 1/2<br />
2<br />
1<br />
2<br />
2<br />
(2) ( W + W )<br />
1/<br />
2<br />
(3) ( 1 2)<br />
/ 2 W W +<br />
(4) 2W1W2/(W1 + W2)