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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyConceptual

JEE Main 25 June 2022, Shift 2, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

For a particle in uniform circular motion, the acceleration a⃗\vec{a} at any point P(R,θ)P(R,\theta) on the circular path of radius RR is (when θ\theta is measured from the positive xx-axis and vv is uniform speed) :
  1. (1)−v2Rsin⁡θ i^+v2Rcos⁡θ j^-\frac{v^2}{R}\sin\theta\,\hat{i} + \frac{v^2}{R}\cos\theta\,\hat{j}
  2. (2)−v2Rcos⁡θ i^+v2Rsin⁡θ j^-\frac{v^2}{R}\cos\theta\,\hat{i} + \frac{v^2}{R}\sin\theta\,\hat{j}
  3. (3)−v2Rcos⁡θ i^−v2Rsin⁡θ j^-\frac{v^2}{R}\cos\theta\,\hat{i} - \frac{v^2}{R}\sin\theta\,\hat{j}Official answer
  4. (4)−v2Ri^+v2Rj^-\frac{v^2}{R}\hat{i} + \frac{v^2}{R}\hat{j}

Official answer

Option 3

NTA final key.