1
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Number of possible isomers for the complex [Co(en)2Cl2]Cl will be (en = ethylenediamine)
A
1
B
3
C
4
D
2
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
If dimensions of critical velocity $$\upsilon $$c of a liquid flowing through a tube are expressed as $$\left[ {{\eta ^x}{\rho ^y}{r^z}} \right]$$ where $$\eta ,\rho $$ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by
A
$$-$$1, $$-$$1, $$-$$1
B
1, 1, 1
C
1, $$-$$1, $$-$$1
D
$$-$$1, $$-$$1, 1
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
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
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.
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