Class 12th

Two identical electric point dipoles have dipole moments p₁ = pî and p₂ = −pî 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:

In photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased:

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

A capacitor C is fully charged with voltage V?. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance C/2. The energy loss in the process after the charge is distributed between the two capacitor is:

In the figure shown, the current in the 10 V battery is close to:

[P] on treatment with Br2/FeBr3 in CCl4 produced a single isomer C8H7O2Br while heating [P] with sodalime gave toluene. The compound [P] is:

The pair in which both the species have the same magnetic moment (spin only) is:

What is the energy of the electron according to Rutherford's model of the atom?

Suppose a differentiable function f(x) satisfies the identity f(x + y) = f(x) + f(y) + xy² + x²y, for all real x and y. If lim?→? f(x)/x = 1 then f'(3) is equal to

If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24
has infinitely many solutions, then a − b is equal to