NTA JEE Main 3rd April 2016 Offline

In an experiment for determination of refractive index of glass of a prism by i v/s $$\delta$$ plot, it was found that a ray incident at angle 35°, suffers a deviation of 40° and that it emerges at angle 79°. In that case which of the following is closest to the maximum possible value of the refractive index?

The box of a pin hole camera, of length L, has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $$\lambda$$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $$b_{min}$$) when:

Radiation of wavelength $$\lambda$$ is incident on a photocell. The fastest emitted photoelectron has a speed v. If the wavelength is changed to $$\frac{3\lambda}{4}$$, the speed of the fastest emitted photoelectron will be:

Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively. Initially, the samples have an equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuclei will be:

For a common emitter configuration, if $$\alpha$$ and $$\beta$$ have their usual meanings, the correct relationship between $$\alpha$$ and $$\beta$$ is:

If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is:

The temperature dependence of resistance of Cu and undoped Si in the temperature range 300 - 400 K is best described by:

Identify the semiconductor devices whose characteristics are given below, in the order (a), (b), (c), (d):

Choose the correct statement:

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?