1
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
A nucleus of uranium decays at rest into nuclei of thorium and helium. Then
A
The helium nucleus has more momentum than the thorium nucleus.
B
The helium nucleus has less kinetic energy than the thorium nucleus.
C
The helium nucleus has more kinetic energy than the thorium nucleus.
D
The helium nucleus has less momentum than the thorium nucleus.
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
A force $$\overrightarrow F = \alpha \widehat i + 3\widehat j + 6\widehat k$$ is acting at a point $$\overrightarrow r = 2\widehat i - 6\widehat j - 12\widehat k$$. The value of $$\alpha $$ for which angular momentum about origin is conserved is
A
zero
B
1
C
$$-$$ 1
D
2
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
If vectors $$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$ and $$\overrightarrow B = \cos {{\omega t} \over 2}\widehat i + \sin {{\omega t} \over 2}\widehat j$$ are functions of time, then the value of t at which they are orthogonal to each other is
A
$$t = {\pi \over \omega }$$
B
t $$=$$ 0
C
$$t = {\pi \over {4\omega }}$$
D
$$t = {\pi \over {2\omega }}$$
4
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
The positions vector of a particle $$\overrightarrow R $$ as a function of time is given by $$\overrightarrow R $$ = 4sin(2$$\pi $$t)$$\widehat i$$ + 4cos(2$$\pi $$t)$$\widehat j$$. Where R is in meters, t is in seconds and $$\widehat i$$ and $$\widehat j$$ denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
A
Magnitude of the velocity of particle is 8 meter/second.
B
Path of the particle is a circle of radius 4 meter.
C
Acceleration vector is along $$-$$$$\overrightarrow R $$.
D
Magnitude of acceleration vector is $${{{v^2}} \over R}$$
where v is the velocity of particle.
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12