NTA JEE Main 6th September 2020 Shift 2

Two identical electric point dipoles have dipole moments $$\vec{p}_1 = p\hat{i}$$ and $$\vec{p}_2 = -p\hat{i}$$ and are held on the x-axis at distance 'a' from each other. When released, they move along the x-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is 'm', their speed when they are infinitely far apart is:

Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the following statements is true for F, if 'q' is placed at distance r from the centre of the shell?

In the figure shown, the current in the $$10\,\text{V}$$ battery is close to:

A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit:

A charged particle going around in a circle can be considered to be a current loop. A particle of a mass $$m$$ carrying charge $$q$$ is moving in a plane with speed $$v$$ under the influence of magnetic field $$\vec{B}$$. The magnetic moment of this moving particle is:

A square loop of side $$2a$$ and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point $$(0, b, 0)$$, $$(b >> a)$$. The magnitude of torque on the loop about z-axis will be:

For a plane electromagnetic wave, the magnetic field at a point x and time t is:
$$\vec{B}(x, t) = [1.2 \times 10^{-7}\sin(0.5 \times 10^3 x + 1.5 \times 10^{11}t)\hat{k}]\,\text{T}$$.
The instantaneous electric field $$\vec{E}$$ corresponding to $$\vec{B}$$ is:

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power $$1.5\,P$$ is:

Given the masses of various atomic particles $$m_P = 1.0072\,\text{u}$$, $$m_n = 1.0087\,\text{u}$$, $$m_e = 0.000548\,\text{u}$$, $$m_{\bar{v}} = 0$$, $$m_d = 2.0141\,\text{u}$$, where p = proton, n = neutron, e = electron, $$\bar{v}$$ = antineutrino and d = deuteron. Which of the following process is allowed by momentum and energy conservation:

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5.55 mm, 5.34 mm, 5.65 mm. The average of these four readings is 5.5375 mm and the standard deviation of the data is 0.07395 mm. The average diameter of the pencil should therefore be recorded as: