Let $$S = \left\{ {n \in N\left| {{{\left( {\matrix{ 0 & i \cr 1 & 0 \cr } } \right)}^n}\left( {\matrix{ a & b \cr c & d \cr } } \right) = \left( {\matrix{ a & b \cr c & d \cr } } \right)\forall a,b,c,d \in R} \right.} \right\}$$, where i = $$\sqrt { - 1} $$. Then the number of 2-digit numbers in the set S is _____________.

For a gas C_P $$-$$ C_V = R in a state P and C_P $$-$$ C_V = 1.10 R in a state Q, T_P and T_Q are the temperatures in two different states P and Q respectively. Then

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Moment of inertia of a circular disc of mass 'M' and radius 'R' about X, Y axes (passing through its plane) and Z-axis which is perpendicular to its plane were found to be I_x, I_y and I_z respectively. The respectively radii of gyration about all the three axes will be the same.

Reason R : A rigid body making rotational motion has fixed mass and shape. In the light of the above statements, choose the most appropriate answer from the options given below :

What should be the order of arrangement of de-Broglie wavelength of electron ($$\lambda$$_e), an $$\alpha$$-particle ($$\lambda$$_a) and proton ($$\lambda$$_p) given that all have the same kinetic energy?