A particle of mass m and charge q is fastened to one end of a light string of length l. The other end of the string is fixed to the point O. The whole system lies on a frictionless horizontal plane. Initially, the mass is at rest at A. A uniform electric field in the direction shown is switched on. Then,
the tension in the string when particles reaches B is 2qE
the tension in the string when the particle reaches B is zero
the speed of the particle when it reaches B is √2qElm
the speed of the particle when it reaches B is √qElm
A
the speed of the particle when it reaches B is √2qElm
B
the speed of the particle when it reaches B is √qElm
C
the tension in the string when particles reaches B is 2qE
D
the tension in the string when the particle reaches B is zero
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Solution
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Work done by tension = 0 Displacement=l(1−cos600) Work done by Electric field =qE×l(1−cos600) (B) √qEl2=12mV2⇒V=√qElm (C) T−qE=mV2l⇒T=2qE
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