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In 1924 Louis de Broglie introduced the idea that particles, such as electrons, could be described not only as particles but also as waves.

Objects distance (u) = image distance (v) object distance = 3m |uv| = 3 + 3 = 6m

Concave Mirror: It is a spherical mirror whose outer surface is polished and inner or concave side is reflecting surface. Convex Mirror: It is a spherical mirror whose inner surface is polished and whose outer side or convex side is the reflecting surface. f = \(\frac{m}{4}\) = f = \(\frac{d}{4}\) f = \(\frac{20}{4}\) = 5cm (For metal, it is the polished side that will be the reflecting surface)

\(\frac{\text {sin i}}{\text {sin r}}\) = \(\frac{\text {velocity in air}}{\text {velocity in glass}}\) \(\frac{\text {sin i}}{\text {sin 30}}\) = \(\frac{3 \times 10^{8}}{2 \times 10^{8}}\) Sin i = \(\frac{3}{4}\) = 0.75

Using y = A sin (wt + 0) Given y = 0.25 x 10\(^{-3}\)sin (500t - 0.025x) By comparing, w = 5.00 x 10\(^{2}\)rads\(^{-1}\)

No expanded working has been attached for this question yet. The verified answer is Option D.

No expanded working has been attached for this question yet. The verified answer is Option B.

V = \(\frac{\lambda}{T}\) : v = 330ms\(^{-1}\) \(\lambda\) = 1.65m T = ? 330 = 1.65 T = \(\frac{1.65}{330}\) = 0.005s

V = \(\frac{2d}{t}\) v = 340ms\(^{-1}\) t = 0.5s d= ? d = \(\frac{2d}{2} = \frac{340 \times 0.5}{2}\) = 85m

\(\Delta\) = \(\frac{\bigtriangleup\theta}{\delta} = \frac{80-20}{0.02}\) = 3.0 x 10\(^{3}\)km\(^{-1}\)

No expanded working has been attached for this question yet. The verified answer is Option A.

\(f_0\) = 40\(H_3\) 1st overtone = 2\(f_0\) = 80\(H_3\) 2nd overtone = 3\(f_0\) = 120\(H_3\) 3rd overtone = 4\(f_0\) = 160\(H_3\) 4th overtone = 5\(f_0\) = 200\(H_3\) \(\therefore\) Number of overtones between 40\(H_3\) and 180\(H_3\) = 3

A normal arrangement is an arrangement where the principal focus of objective coincides with the eyepiece so that the final image is at infinity

A mixture is a material made up of two or more different chemical substances which are not chemically combined. Mercury is a chemical element with the symbol Hg and atomic number 80.

Kerosene contains hydrocarbon with twelve to eighteen carbon atoms per molecule