TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point

Q.33 A bullet of mass m hits a target of mass M
hanging by a string and gets embedded in it. If the
block rises to a height h as a result of this
collision, the velocity of the bullet before
collision is:
(1) v = 2gh
(2) v = 2gh[ 1+
( m / M )]
(3) v = 2gh[( 1+
M / m)]
(4) v = 2gh[ 1−
( m / M )]
Q.34 A sphere of mass m moving with a constant
velocity u hits another stationary sphere of the
same mass. If e is the coefficient of restitution,
then ratio of velocities of the two spheres after
collision will be:
⎛1
− e ⎞ ⎛1
+ e ⎞ ⎛ e + 1⎞
⎛ e −1
⎞
(1) ⎜ ⎟ (2) ⎜ ⎟ (3) ⎜ ⎟ (4) ⎜ ⎟
⎝1
+ e ⎠ ⎝1
− e ⎠ ⎝ e −1
⎠ ⎝ e + 1⎠
Q.35 A rod of length L is hinged from one end. It is
brought to a horizontal position and released. The
angular velocity of the rod when it is in vertical
position is:
(1) 2 g / L (2) 3 g / L (3) g / 2L
(4) g / L
Q.36 A diverging beam of light from a point source S
having divergence angle α, falls symmetrically on
a glass slab as shown in figure. The angle of
incidence of two extreme rays are equal. If the
thickness of the glass slab is t and the refractive
index n, then the divergence angle of the
emergent beam is:
S
i
α
n
(1) zero (2) α
(3) sin –1 (1/n) (4) 2 sin –1 (1/n)
Q.37 The distance between the objective lens and the
eye lens of an astronomical telescope when
adjusted for parallel light is 100 cm. The
measured value of the magnification is 19. The
focal lengths of the lenses are:
(1) 85 and 15 cm (2) 82 and 18 cm
(3) 95 and 5 cm (4) 50 and 50 cm
i
t
Q.33 m nzO;eku dh ,d xksyh ,d Mksjh }kjk yVd jgs
M nzO;eku ds ,d y{; ls Vdjkrh gS rFkk blesa
/k¡l tkrh gSA ;fn bl VDdj ds ifj.kkeLo#i
CykWd h Å¡pkbZ rd mB tkrk gS] rks VDdj ds iwoZ
xksyh dk osx gS&
(1) v = 2gh
(2) v = 2gh[ 1+
( m / M )]
(3) v = 2gh[( 1+
M / m)]
(4) v = 2gh[ 1−
( m / M )]
Q.34 m nzO;eku dk ,d xksyk fu;r osx u ls xfr djrk
gqvk leku nzO;eku ds nwljs fLFkj xksys ls Vdjkrk
gSA ;fn izR;koLFkku xq.kkad e gks] rc VDdj ds
i'pkr~ nksuksa xksyksa ds osxksa dk vuqikr gksxk&
⎛1
− e ⎞ ⎛1
+ e ⎞ ⎛ e + 1⎞
⎛ e −1
⎞
(1) ⎜ ⎟ (2) ⎜ ⎟ (3) ⎜ ⎟ (4) ⎜ ⎟
⎝1
+ e ⎠ ⎝1
− e ⎠ ⎝ e −1
⎠ ⎝ e + 1⎠
Q.35 L yEckbZ dh ,d NM+ blds ,d fljs ls c) gS] bls
{kSfrt fLFkfr eas ys tkdj NksM+k tkrk gSA NM+ dk
dks.kh; osx tc ;g Å/okZ/kj fLFkfr esa gS] gksxk&
(1) 2 g / L (2) 3 g / L (3) g / 2L
(4) g / L
Q.36 ,d fcUnq L=kksr S ftldk vilkjh dks.k α gS] ls
izkIr izdk'k dk ,d vilkjh iqat fp=kkuqlkj ,d
dk¡p dh ifêdk ij lefer #i ls fxjrk gSA nks
pje fdj.kksa dk vkiru dks.k cjkcj gSA ;fn dk¡p
dh ifêdk dh eksVkbZ t rFkk viorZukad n gks] rc
fuxZr iqat dk vilkjh dks.k gS&
CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 Page # 8
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α
(1) 'kwU; (2) α
(3) sin –1 (1/n) (4) 2 sin –1 (1/n)
n
S
Q.37 ,d [kxksyh; nwjn'khZ ds vfHkn`';d ySal rFkk uS=k
ySal ds e/; nwjh 100cm gS] lekUrj izdk'k ds fy,
O;ofLFkr fd;k tkrk gSA vko/kZu dk Kkr fd;k x;k
eku 19 gSA ySalks dh Qksdl nwfj;k¡ gS&
(1) 85 rFkk 15 cm (2) 82 rFkk 18 cm
(3) 95 rFkk 5 cm (4) 50 rFkk 50 cm
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