1
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

Two satellites $$S_1$$ and $$S_2$$ are revolving round a planet in coplanar circular orbits of radii $$r_1$$ and $$r_2$$ in the same direction, respectively. Their respective periods of revolution are $$1 \mathrm{~h}$$ and $$8 \mathrm{~h}$$. The radius of orbit of satellite $$S_1$$ is equal to $$10^4 \mathrm{~km}$$. What will be their relative speed (in $$\mathrm{km} / \mathrm{h}$$) when they are closest?

A
$$\pi / 2 \times 10^4$$
B
$$\pi \times 10^4$$
C
$$2 \pi \times 10^4$$
D
$$4 \pi \times 10^4$$
2
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

A body of mass $$4 \mathrm{~kg}$$ moving with velocity $$12 \mathrm{~m} / \mathrm{s}$$ collides with another body of mass $$6 \mathrm{~kg}$$ at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is

A
zero
B
$$288 \mathrm{~J}$$
C
$$172.8 \mathrm{~J}$$
D
$$144 \mathrm{~J}$$
3
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

The coefficient of cubical expansion of mercury is $$0.00018 /{ }^{\circ} \mathrm{C}$$ and that of brass $$0.00006 /{ }^{\circ} \mathrm{C}$$. If a barometer having a brass scale were to read $$74.5 \mathrm{~cm}$$ at $$30^{\circ} \mathrm{C}$$, find the true barometric height at $$0^{\circ} \mathrm{C}$$. The scale is supposed to be correct at $$15^{\circ} \mathrm{C}$$.

A
$$74.122 \mathrm{~cm}$$
B
$$79.152 \mathrm{~cm}$$
C
$$42.161 \mathrm{~cm}$$
D
$$142.39 \mathrm{~cm}$$
4
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

The particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $$a_c$$ is varying with time $$t$$ as $$a_c=k^2 r t^2$$, where $$k$$ is a constant. The power delivered to particle by the forces acting on it is

A
$$2 \pi m k^2 r^2 t$$
B
$$m k^2 r^2 t$$
C
$$1 / 3 m k^4 r^2 t^5$$
D
zero
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