NTA JEE Main 31st August 2021 Shift 1

Consider a galvanometer shunted with 5 $$\Omega$$ resistance and 2% of current passes through it. What is the resistance of the given galvanometer?

A coil having $$N$$ turns is wound tightly in the form of a spiral with inner and outer radii $$a$$ and $$b$$ respectively. Find the magnetic field at centre, when a current $$I$$ passes through coil:

A small square loop of side $$a$$ and one turn is placed inside a larger square loop of side $$b$$ and one turn $$(b \gg a)$$. The two loops are coplanar with their centres coinciding. If a current $$I$$ is passed in the square loop of side $$b$$, then the coefficient of mutual inductance between the two loops is:

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with $$X_L = R = X_C$$. Impedance of this circuit is:

An object is placed at the focus of concave lens having focal length $$f$$. What is the magnification and distance of the image from the optical centre of the lens?

Two plane mirrors $$M_1$$ and $$M_2$$ are at right angle to each other as shown. A point source $$P$$ is placed at $$a$$ and $$2a$$ meter away from $$M_1$$ and $$M_2$$ respectively. The shortest distance between the images thus formed is: (Take $$\sqrt{5} = 2.3$$)

A moving proton and electron have the same de-Broglie wavelength. If $$K$$ and $$P$$ denote the K.E. and momentum respectively. Then choose the correct option:

A sample of a radioactive nucleus $$A$$ disintegrates to another radioactive nucleus $$B$$, which in turn disintegrates to some other stable nucleus $$C$$. Plot of a graph showing the variation of number of atoms of nucleus $$B$$ versus time is: (Assume that at $$t = 0$$, there are no $$B$$ atoms in the sample)

Choose the correct waveform that can represent the voltage across $$R$$ of the following circuit, assuming the diode is ideal one:

In the following logic circuit the sequence of the inputs $$A$$, $$B$$ are $$(0, 0), (0, 1), (1, 0)$$ and $$(1, 1)$$. The output $$Y$$ for this sequence will be: