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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceSingle correctHardMulti-step

JEE Main 9 January 2020, Shift 1, Physics Q14

Question 14 of 75 in this shift, Physics question 14 of 25, Section A.

The electric fields of two plane electromagnetic plane waves in vacuum are given by E1→=E0j^ cos⁡(ωt−kx)\overrightarrow{E_1} = E_0\hat{j}\ \cos(\omega t - kx) and E2→=E0k^ cos⁡(ωt−ky)\overrightarrow{E_2} = E_0\hat{k}\ \cos(\omega t - ky) At t=0, a particle of charge q is at origin with a velocity v→=0.8 cj^\overrightarrow{v} = 0.8\,c\hat{j} (c is the speed of light in vaccum). The instantaneous force experienced by the particle is :
  1. (1)E0q(−0.8i^+j^+k^)E_0 q\left(-0.8\hat{i} + \hat{j} + \hat{k}\right)
  2. (2)E0q(0.8i^+j^+0.2k^)E_0 q\left(0.8\hat{i} + \hat{j} + 0.2\hat{k}\right)Official answer
  3. (3)E0q(0.4i^−3j^+0.8k^)E_0 q\left(0.4\hat{i} - 3\hat{j} + 0.8\hat{k}\right)
  4. (4)E0q(0.8i^−j^+0.4k^)E_0 q\left(0.8\hat{i} - \hat{j} + 0.4\hat{k}\right)

Official answer

Option 2

NTA final key (Jan 2020).