TEST SERIES FOR AIPMT (HALF SYLLABUS) - Career Point

Q.7 A particle is subjected to two mutually
perpendicular simple harmonic motions such that
its x and y coordinates are given by -
x = 2 sin ωt
y = 2 sin (ωt + π/4)
The path of the particle will -
(1) an ellipse (2) a straight line
(3) a parabola (4) a circle
Q.8 In a gas two waves of lengths 1 meter and 1.01
metre superpose to produce 10 beats in 3
seconds. The velocity of sound in this medium is
(1) 332 m/s (2) 336.7 m/s
(3) 83 m/s (4) 166 m/s
Q.9 Two mechanical waves are travelling in the same
direction in a medium. The amplitude of each
wave is A0 and wavelength is λ. The resultant
amplitude where the phase difference between
them is 120º is :
3
(1) A0 (2) A0
2
2
(3) A0 (4) 2A0
3
Q.10 A spring is vibrating with frequency n under
some mass. If it is cut into two equal parts and same
mass is suspended, then the new frequency is -
n
(1)
2
(2) n (3) 2 n (4)
n
2
Q.11 A simple pendulum suspended from the ceiling
of a train has a period T when the train is at rest.
When the train is accelerating with a uniform
acceleration the time period of simple pendulum will
(1) decrease (2) increase
(3) remain unchanged (4) become infinite
Q.12 A particle is executing simple harmonic motion
with an amplitude of 0.02 metre and frequency
50 hertz. The maximum acceleration of the
particle is-
(1) 100 m/s 2 (2) 100 π 2 m/s 2
(3) 200 m/s 2 (4) 200 π 2 m/s 2
Q.7 ,d d.k nks vU;ksU; yEcor~ ljy vkorZ xfr;k¡
djrk gS bl izdkj ls fd blds x rFkk y funsZ'kkad
fuEu izdkj fn;s tkrs gS&
x = 2 sin ωt
y = 2 sin (ωt + π/4)
d.k dk iFk gksxk&
(1) ,d nh?kZo`Ùk (2) ,d ljy js[kk
(3) ,d ijoy; (4) ,d o`Ùk
Q.8 ,d xSl esa 1 ehVj rFkk 1.01 ehVj yEckbZ dh nks
rjaxs v/;kjksi.k ij 3 lsd.M esa 10 foLiUn mRiUu
djrh gSA bl ek/;e esa /ofu dk osx gS&
(1) 332 m/s (2) 336.7 m/s
(3) 83 m/s (4) 166 m/s
Q.9 nks ;akf=kd rjaxs ,d ek/;e esa leku fn'kk esa
lapfjr gks jgh gSA izR;sd rjax dk vk;ke A0 rFkk
rjaxnS/;Z λ gSaA ifj.kkeh vk;ke tgk¡ muds e/;
dykUrj 120º gks] gS&
(1) A0
3
(2) A0
2
2
(3) A0 (4) 2A0
3
Q.10 ,d fLizax fdlh nzO;eku ds v/khu n vko`fÙk ls
nksyu dj jgh gSA ;fn bls nks cjkcj Hkkxksa esas dkV
fn;k tkrk gS rFkk leku nzO;eku dks yVdk;k
tkrk gS] rks ubZ vko`fÙk gS&
n
(1)
2
(2) n (3) 2 n (4)
n
2
Q.11 ,d Vªsu dh Nr ls yVds ,d ljy yksyd dk
vkorZdky T gS tc Vªsu fojke esa gSA tc Vªsu ,d
leku Roj.k ls Rofjr gks jgh gks] rks ljy yksyd
dk vkorZdky&
(1) ?kV tk;sxk (2) c