Figure shows a solid wooden cylinder of mass m = 0.250 kg and length L = 0.100 m with N = 10 turns of wire wrapped around it longitudinally, so that the plane of wire coil contains the long central axis of the cylinder. The cylinder is released on a plane inclined at an angle $θ$ to the horizontal, with the plane of the coil parallel to the inclined plane. A magnetic field B of different magnitudes and directions as per column-I is applied in the region. The value of current through the coil is I and such that the direction of field at centre of coil in all cases produced by coil makes an acute angle with vertically upward direction. There is enough friction to ensure that the cylinder rolls without slipping. (take $g = 10 m / s^{2}$ )

Answer the questions given below on the basis of given matrix.
Column–I
(B)
Column–II
(I)
Column–III
(Acceleration of C.M of cylinder)

I) 0 T i) 0 Amp P) $0 m / s^{2}$
II) 0.5T upward ii) 1 Amp Q) $\frac{2 g}{15} m / s^{2}$
III) 0.5T downward iii) 15/8 Amp R) $\frac{4 g}{5} m / s^{2}$
IV) 0.5T leftward iv) 5/2 Amp S) $\frac{5.6 g}{3} m / s^{2}$

Question

Accepted Answer

Detailed Solution

	Column–I (B)		Column–II (I)		Column–III (Acceleration of C.M of cylinder)
I)	0 T	i)	0 Amp	P)	$0 m / s^{2}$
II)	0.5T upward	ii)	1 Amp	Q)	$\frac{2 g}{15} m / s^{2}$
III)	0.5T downward	iii)	15/8 Amp	R)	$\frac{4 g}{5} m / s^{2}$
IV)	0.5T leftward	iv)	5/2 Amp	S)	$\frac{5.6 g}{3} m / s^{2}$