To understand the change in wave characteristics from microwaves to X-rays in the electromagnetic spectrum, we need to consider the general properties of electromagnetic waves:
From microwaves to X-rays:
Thus, the correct change in wave characteristics from microwaves to X-rays is: "Speed remains same, Wavelength decreases, Frequency increases." This is captured in the correct answer given.
Match the LIST-I with LIST-II:
| List-I | List-II | ||
| A. | Radio-wave | I. | is produced by Magnetron valve |
| B. | Micro-wave | II. | due to change in the vibrational modes of atoms |
| C. | Infrared-wave | III. | due to inner shell electrons moving from higher energy level to lower energy level |
| D. | X-ray | IV. | due to rapid acceleration of electrons |
Choose the correct answer from the options given below:
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).