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.44 At time t = 0, N1 nuclei of decay constant λ1 and N2 nuclei of decay constant λ2 are mixed. The decay rate of mixture is - ( 1 2 ) t (1) N N e λ + λ − − ⎛ (2) − ⎜ ⎝ N 1 2 N 1 ⎞ −( λ1+ λ2 ) t ⎟ ⎟e 2 ⎠ −λ t −λ t 1 1 1 2 ( 1 2 ) t 1 1N 2 2e λ + λ − λ λ 1 2 (3) − ( N λ e + N λ e ) (4) − N Q.45 Electrons with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is mc (1) h 2 2 λ 2h λ 0 = (2) 0 mc = λ 2 2 3 2m c λ (3) λ0 = (4) λ0 = λ 2 h Q.46 The intensity of gamma radiation from a given source is I0. On passing through 37.5 mm of lead it is reduced to I0/8. The thickness of lead which will reduce it to I0/2 is (1) (37.5) 1/3 mm (2) (37.5) 1/4 mm (3) 37.5/3 mm (4) (37.5/4) mm Q.47 A proton moving with a velocity 3 × 10 5 ms –1 enters a magnetic field of 0.3 tesla at an angle of 30º with the field. The radius of curvature of its path will be (e/m for proton ≈ 10 8 C/kg) (1) 0.02 cm (2) 0.5 cm (3) 2 cm (4) 1.25 cm Q.48 If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should - (1) increase (2) remain unchanged (3) decrease (4) first increase then decrease Q.44 le; t = 0 ij {k;kad λ1 ds N1 ukfHkd rFkk {k;kad λ2 ds N2 ukfHkd fefJr fd;s tkrs gSA feJ.k dh {k; nj gS& ( 1 2) t (1) N1N 2e λ + λ − − ⎛ N 1 ⎞ −( λ1+ λ2 ) t (2) − ⎜ e N ⎟ ⎝ 2 ⎠ −λ t −λ t 1 1 1 2 ( 1 2 ) t 1 1N 2 2e λ + λ − λ λ 1 2 (3) − ( N λ e + N λ e ) (4) − N Q.45 Mh czksXyh rjaxnS/;Z λ ds bysDVªkWu ,d X-fdj.k ufydk esa y{; ij fxjrs gSA mRlftZr X-fdj.kksa dh vUrd (cut-off) rjaxnS/;Z gS& 2 λ (1) λ 0 = (2) h CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 10 mc 2 2 2 3 2h 0 mc = λ 2m c λ (3) λ0 = (4) λ0 = λ 2 h Q.46 ,d fn;s x;s L=kksr ls izkIr xkek fofdj.k dh rhozrk I0 gSA 37.5 mm dh lhls dh ifêdk ls xqtjus ij bldh rhozrk ?kVdj I0/8 gks tkrh gSA lhls dh ifêdk dh eksVkbZ tks bldh rhozrk ?kVkdj I0/2 dj ns] gS& (1) (37.5) 1/3 mm (2) (37.5) 1/4 mm (3) 37.5/3 mm (4) (37.5/4) mm Q.47 ,d izksVkWu 3 × 10 5 ms –1 ds osx ls xfr djrk gqvk 0.3 Vslyk ds ,d pqEcdh; {ks=k esa {ks=k ls 30º ds dks.k ij izos'k djrk gSA blds iFk dh oØrk f=kT;k gksxh& (izksVkWu ds fy, e/m ≈ 10 8 C/kg) (1) 0.02 cm (2) 0.5 cm (3) 2 cm (4) 1.25 cm Q.48 ;fn nzO;eku&ÅtkZ rqY;kad dks ekuk tk;s rks tc ty dks B.Mk dj cQZ esa cnyk tkrk gS] rks ty dk nzO;eku& (1) c
Q.49 In the nuclear fusion reaction 2 3 4 1 H + 1H → 2He + n given that the repulsive potential energy between the two nuclei is ~ 7.7 × 10 –14 J, the temperature at which the gases must be heated to initiate the reaction is nearly [Boltzmann's constant k = 1.38 × 10 –23 J/K] (1) 10 7 K (2) 10 5 K (3) 10 3 K (4) 10 9 K Q.50 The production of band spectra is caused by (1) atomic nuclei (2) hot metals (3) molecules (4) electrons Q.49 ukfHkdh; lay;u vfHkfØ;k esa 2 3 4 1 H + 1H → 2He + n fn;k x;k gS fd nks ukfHkdksa ds e/; izfrd"khZ fLFkfrt ÅtkZ ~ 7.7 × 10 –14 a J gS] rks rki ftl ij xSlks dks xje fd;k tkuk pkfg;s ftlls fd vfHkfØ;k izkjEHk gksrh gS] yxHkx gS& [cksYVteku fu;rakd k = 1.38 × 10 –23 J/K] (1) 10 7 K (2) 10 5 K (3) 10 3 K (4) 10 9 K Q.50 cS.M LisDVªe dk mRiknu fdlds dkj.k gksrk gS (1) ijek.kqd ukfHkdksa }kjk (2) xeZ /kkrqvksa }kjk (3) v.kqvksa }kjk (4) bysDVªkWuksa }kjk CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 11
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Q.49 In the nuclear fusion reaction<br />
2<br />
3<br />
4<br />
1 H + 1H<br />
→ 2He<br />
+ n<br />
given that the repulsive potential energy between<br />
the two nuclei is ~ 7.7 × 10 –14 J, the temperature<br />
at which the gases must be heated to initiate the<br />
reaction is nearly<br />
[Boltzmann's constant k = 1.38 × 10 –23 J/K]<br />
(1) 10 7 K (2) 10 5 K<br />
(3) 10 3 K (4) 10 9 K<br />
Q.50 The production of band spectra is caused by<br />
(1) atomic nuclei (2) hot metals<br />
(3) molecules (4) electrons<br />
Q.49 ukfHkdh; lay;u vfHkfØ;k esa<br />
2 3 4<br />
1 H + 1H<br />
→ 2He<br />
+ n<br />
fn;k x;k gS fd nks ukfHkdksa ds e/; izfrd"khZ fLFkfrt<br />
ÅtkZ ~ 7.7 × 10 –14 a J gS] rks rki ftl ij xSlks dks xje<br />
fd;k tkuk pkfg;s ftlls fd vfHkfØ;k izkjEHk gksrh gS]<br />
yxHkx gS&<br />
[cksYVteku fu;rakd k = 1.38 × 10 –23 J/K]<br />
(1) 10 7 K (2) 10 5 K<br />
(3) 10 3 K (4) 10 9 K<br />
Q.50 cS.M LisDVªe dk mRiknu fdlds dkj.k gksrk gS<br />
(1) ijek.kqd ukfHkdksa }kjk (2) xeZ /kkrqvksa }kjk<br />
(3) v.kqvksa }kjk (4) bysDVªkWuksa }kjk<br />
CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 11
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