Verified Solution • 2025–26 Session moderate

QNEET-2017-Ph-993: NEET 2017 Physics - Class 12 NEET-2017-Ph-993 Solution: A long solenoid of diameter 0.1 m has \(2 10^4\) turns per…

A long solenoid of diameter 0.1 m has

2 \times 10^4

turns per meter. At the centre of the solenoid a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is

10\pi^2 \Omega

the total charge flowing through the coil during this time is

16\mu C

32\mu C

16\pi\mu C

32\pi\mu C

Multiple Choice Options

A 16 $\mu$ _ C
B 32 $\mu$ _ C
C 16 $\pi$ � $\mu$ _ C
D 32 $\pi$ � $\mu$ _ C

Step-by-Step Verified Solution

q = _ d _ R = _ N A ( B 2 _ B 1 ) R = N A _ 0 n ( i 1 _ i 2 ) R = 100 _ � _ 10 _ 4 _ 4 � _ 10 _ 7 _ 2 _ 10 4 _ 4 10 � 2 = 32 _ 10 -6 C = 32 _ C

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