NTA JEE Main 10th April 2016 Online

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:

To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are:

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the mirror is seen:

Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should be (1 light year = $$9.46 \times 10^{15}$$ m) of the order of: 

A photoelectric surface is illuminated successively by monochromatic light of wavelengths $$\lambda$$ and $$\frac{\lambda}{2}$$. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface is:

A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which perfectly inelastic collision will take place is:

The ratio (R) of output resistance $$r_0$$, and the input resistance $$r_i$$ in measurements of input and output characteristics of a transistor is typically in the range:

To get an output of 1 from the circuit shown in the figure the input must be:

A realistic graph depicting the variation of the reciprocal of input resistance in an input characteristics measurement in a common emitter transistor configuration is:

A modulated signal $$C_m(t)$$ has the form $$C_m(t) = 30\sin 300\pi t + 10(\cos 200\pi t - \cos 400\pi t)$$. The carrier frequency $$f'_c$$, the modulating frequency (message frequency) $$f_\omega$$ and the modulation index $$\mu$$ are respectively given by: