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Question

# Match the statement in column I with the results in column II Column- IColumn - II(A) A variable resistor is connected across a non ideal(P) First increases for some timecell. As the variable resistor is and then decreasescontinuously increased from zero to a verylarge value, the electric power consumedby the variable resistor(B) A circular ring lies in space having(Q) First decreases for some time uniform and constant magnetic field which and then increasesis parallel to plane of the ring. Keeping thecentre of ring fixed, the rings is rotated by180∘ about one of its diameter which is perpendicular to magnetic field withconstant angular speed. For the durationthe ring rotates, the magnitude of inducedemf in the ring(C) A thin rod of length 1 cm lies along(R) is always constantprincipal axis of a convex lens of focal length 5 cm. One end of rod is at a distance10 cm from optical centre of the lengs. Theconvex lens is moved (without rotation)perpendicular to initial principal axis by5 mm and brought back to its initial position. Length of image of the rod(D) A bulb (of negiligible inductance) and a (S) increases or may increasecapacitor in series are connected across anover some time interval.ideal AC source of constant peak voltageand variable frequency. As frequency of ACsource is continuously increased, thebrightness of bulb

A
A-P, Q; B - Q, S; C - P, S; D- P,S
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B
A-P,S; B-Q,S; C-P,S; D-S
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C
A-P,S; B-Q,S; C-P,Q; D-Q,S
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D
A-P; B-S; C-P,S; D-R
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Solution

## The correct option is A A-P, Q; B - Q, S; C - P, S; D- P,S(A) A the plot of power P consumed by variable resistor of resistance R w.r.t R when connected across a non-ideal cell is given by (B) At the instant ring has rotated by q=ωt (ω = angular speed) in uniform and constant magnetic field B, the magnetic flux through the ring is ϕ=BAsinωt or EMF=dϕdt=BAcosωt Hence for first half cycle, magnitude of emf first decreases and then increases. (C) As the lens is moved up, the projection of length of image on principal axis remains same, but its slant with principal axis increases. This increase is due to the fact that lateral magnification of each point of image of rod is different. Hence as lens moves up the size of image increase and when it moves down the size of images decreases. (D) as frequency of ac source increases, reactance of capacitor decreases. Therefore, the bulb glows more brighter.

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