Statement-I: Two forces $\left(\overrightarrow{P}+\overrightarrow{Q}\right)and\left(\overrightarrow{P}-\overrightarrow{Q}\right)where\overrightarrow{P}\perp \overrightarrow{Q},$ when act at an angle θ₁ to each other the magnitude of their resultant is $\sqrt[]{3\left(P^2+Q^2\right)},$ when they act an angle θ₂, the magnitude of their resultant becomes $\sqrt[]{2\left(P^2+Q^2\right)}.$ This is possible only when θ₁ < θ₂.

Statement-II: In the situation given above.

θ₁ = 60° and θ₂ = 90°

In the light of the above statements, choose the most appropriate answer from the options given below:-

Two SHMs in same direction are represented by y1 = asinωt and y2 = asin(ωt + δ). When they superimpose, the initial phase difference of the resultant SHM is

The potential energy of a particle of mass 2 kg in motion along the x-axis is given by U = 2 (1 – cos 2x) J, where x is in meters. The period of small oscillations (in s) is

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system becomes 3/2 of the initial moment of inertia. The kinetic energy of the system is now

If the absolute temperature of hot black body is raised by 2%, by how much percentage rate of heat energy radiated would be increased nearly?

Two moles of helium gas are taken over the cycle ABCDA as shown below in P-T diagram. Assuming the gas to be ideal, the work done on the gas in taking from A to B is