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

A series R-C circuit is connected to AC voltage source. Consider two cases; (A) When C is without a dielectric medium and (B) When C is filled with dielectric of constant 4. The current I$$_R$$ through the resistor and voltage V$$_C$$ across the capacitor are compared in two cases.

A
$$I_R^A> I_R^B$$
B
$$I_R^A< I_R^B$$
C
$$V_C^A< V_C^B$$
D
None of these
2
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

A space ship is launched into a circular orbit close to earth’s surface. What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull?

(Radius of earth = 6400 km, g = 9.8 m/s$$^2$$)

A
3.28 km/s
B
12 km/s
C
10 km/s
D
40 km/s
3
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

A force $$\mathbf{F}=-k(y \hat{\mathbf{i}}+x \hat{\mathbf{j}})$$ where $$k$$ is a positive constant, acts on a particle moving in the $$x y$$ plane. Starting from the origin, the particle is taken along the positive $$x$$-axis to the point $$(a, 0)$$ and then parallel to the $$y$$-axis to the point $$(a, a)$$. The total work done by the force on the particle is

A
$$-2 k a^2$$
B
$$2 k a^2$$
C
$$-k a^2$$
D
$$k a^2$$
4
AIIMS 2017
MCQ (Single Correct Answer)
+1
-0.33

With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $$2 / 3$$ of the weight?

A
2/3 g
B
g
C
1/3 g
D
zero
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