JEE (Advanced) 2011 Paper-2
For the following questions answer them individually
A light ray traveling in glass medium is incident on glass-air interface at an angle of incidence $$\theta$$. The reflected ( R ) and transmitted ( T ) intensities, both as function of $$\theta$$, are plotted. The correct sketch is
A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull
of the earth. At the time of its ejection, the kinetic energy of the object is
A long insulated copper wire is closely wound asa spiral of ‘N’ turns. The spiral has inner radius ‘a’ and outer radius ‘b’. The spiral lies in the X-Y plane and a steady current ‘I’ flows through the wire. The Z-component of the magnetic field at the center of the spiral is
A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $$x_1(t) = A \sin \omega t$$ and $$x_2(t) = A \sin\left(\omega t + \frac{2 \pi}{3}\right)$$. Adding a third sinusoidal displacement $$x_3(t) = B \sin(\omega t + \phi)$$ brings the mass to a complete rest. The value of B and $$\phi$$ are
Which of the field patterns given below is valid for electric field as well as for magnetic field?
A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, traveling with a velocity V m/s in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 m and the bullet at a distance of 100 m from the foot of the post. The initial velocity V of the bullet is
The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is
A wooden block performs SHM on a frictionless surface with frequency, $$v_0$$. The block carries a charge +Q on its surface. If now a uniform electric field $$\overrightarrow{E}$$ is switched-on as shown, then the SHM of the block will be
Two solid spheres A and B of equal volumes but of different densities $$d_A$$ and $$d_B$$ are connected by a string. They are fully immersed in a fluid of density $$d_F$$. They get arranged into an equilibrium state as shown in the figure with a tension in the string. The arrangement is possible only if
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 comparedin the two cases. Whichof the following is/are true?
