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Question: The block shown in the diagram has a mass of 2 microgram and a charge of 2 × 10<sup>–9</sup> coulo...

The block shown in the diagram has a mass of
2 microgram and a charge of 2 × 10–9 coulomb. If the block is given an initial velocity of 2m/s in x direction at t = 0 moment and an electric field of 2N/C in x direction is switch on at that moment then R will be (g = 10 m/s2)-

A

4m

B

1m

C

2m

D

3m

Answer

3m

Explanation

Solution

sx = uxt + 12\frac { 1 } { 2 } axt2 …(1) sy = uyt +12\frac { 1 } { 2 } ay t2…(2)

R = 2 × t + 12\frac { 1 } { 2 } 5 = 0 + 12\frac { 1 } { 2 } × g × t2

R = 2 × 1 + 12\frac { 1 } { 2 }× 2×109×22×109×1\frac { 2 \times 10 ^ { - 9 } \times 2 } { 2 \times 10 ^ { - 9 } } \times 1 t =

= 2 + 1 = 3m