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Question

A conducting slider of resistance R(10Ω) , mass 50g & length10cm is kept on a U-shaped frame as shown in figure. There is uniform magnetic field (B=0.1T) perpendicular to plane of frame. The slider is attached to a spring (K=0.5N/m). The slider is displaced by an amount A0 & released. Time in which its amplitude become A0/e is
1611360_881e01614113416ba8678058a8abbcac.png

A
9000s
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B
10000s
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C
12000s
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D
15000s
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Solution

The correct option is B 10000s
kxiB=md2xdt2
kxB2l2Rdxdtmd2xdt2=0
Comparing with
Kxbdxdtmd2xdt2=0
B2l2R.2mt=1
t=2mRB2l2=10,000s

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