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← JEE Main 2026 · 5 Apr · Shift 1
PhysicsInteger+4 / -1Question 49 of 75

JEE Main 2026 · 5 Apr · Shift 1, Physics question 49

The charged particle moving in a uniform magnetic field of (3i^+2j^)\left(3\hat i+2\hat j\right) T has an acceleration (4i^−x2j^)\left(4\hat i-\dfrac x2\hat j\right) m/s². The value of xx is

Answer and worked solution

Official answer: 12

Perpendicular. The magnetic force is perpendicular to B⃗\vec B, so a⃗⋅B⃗=0\vec a\cdot\vec B=0:
4(3)−x2(2)=0 ⇒ x=12.4(3)-\frac x2(2)=0\ \Rightarrow\ x=12.

Answer: 12