Q82 / 90 · JEE Main 2022 (24 Jun Shift 2) · Physics

An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm, it can radiate a signal of minimum frequency of _____ GHz.

 (Given μr=1 for dielectric medium)

Correct answer: 6

Solution

We know that, refractive index is related to velocity as n=cv.

Here, n=εrμr=6.251=2.5

Since, effective length of antenna l>λ4⇒l>v4f

So, f>v4l=c4l2.5=3×1082.5×4×5×10-3=6×109 Hz=6 GHz.

Hence, the correct answer is 6.

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