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Q.

A uniform conducting wire ABC has a mass of 10 g. Length of the part AB is 4 cm and that of BC is 5 cm. A current of 2A flows through it. The wire is kept in a uniform magnetic field B = 2T. The acceleration of the wire will be

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a

$12 {ms}^{- 2} along y -axis$

b

$0 .6 \times 10^{- 3} {ms}^{- 2} along y -axis$

c

$1 .2 \times 10^{- 3} {ms}^{- 2} along y -axis$

d

Zero

answer is B.

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Detailed Solution

detailed_solution_thumbnail

The given curved wire can be treated as a straight wire as shown.

Question Image

$Force acting on the wire AC, F = Bil = 2 \times 2 \times 3 \times 10^{- 2}$ N

$= 12 \times 10^{- 2} N along y -axis.$

$So, acceleration of wire = \frac{F}{m} = \frac{12 \times 10^{- 2}}{10 \times 10^{- 3}} = 12 m / s^{2}$

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A uniform conducting wire ABC has a mass of 10 g. Length of the part AB is 4 cm and that of BC is 5 cm. A current of 2A flows through it. The wire is kept in a uniform magnetic field B = 2T. The acceleration of the wire will be