Q68 / 90 · JEE Main 2021 (26 Feb Shift 2) · Physics

An inclined plane making an angle of 30° with the horizontal is placed in a uniform horizontal electric field 200NC as shown in the figure. A body of mass 1 kg and charge 5 mC is allowed to slide down from rest at a height of 1 m. If the coefficient of friction is 0.2, find the time taken by the body to reach the bottom.
g=9.8 m s-2; sin30°=12; cos30°=32

Figure

  • A
    0.92 s
  • Correct answer
    B
    1.3 s
  • C
    0.46 s
  • D
    2.3 s

Solution

Figure

here N=9.8cos30+1sin30≈9 N

soa=9.8sin30-1cos30-μN1

a=2.233 m s-2

By S=ut+12at2

=122.233t2

sin30°

t≈1.3 sec

Hence, the correct answer is option: 'B'.

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