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The least distance of distinct vision required = 25 cm. ∴ for the person to see an object clearly at 25 cm from the eye, the image must be formed at 75 cm on the same side of lens, at his near point. ∴ U = 25 cm; V = -75 cm (image should be virtual) thus \(\frac{1}{f}\) = \(\frac{1}{v}\) +\(\frac{1}{u}\) = \(\frac{1}{75}\) + \(\frac{1}{25}\) = \(\frac{-1 + 3}{75}\) = \(\frac{2}{75}\) ∴f = \(\frac{75}{2}\) = 37.50cm.

R = \(\frac{ \rho \times L}{A}\), \(\rho\) = \(\frac{R . A}{L}\) d = 1mm = 0.001m, r = 0.0005m A = \(\pi\)r\(^2\) = \(\frac{22}{7}\) x (0.0005)\(^2\) = 7.857 x 10\(^{-7}\) \(\rho\) = \(\frac{R . A}{L}\) = \(\frac{0.1 \times 7.857 \times 10^{-7}}{2}\) \(\rho\) = 3.928 x 10\(^{-8}\)\(\Omega\)m

In the stress - strain graph shown above, X represents the breaking point of the wire

Smoke particles move chaotically and unpredictablely due to their collisions with air molecules, which characterizes random motion.

Pressure of the Gas, P = A + h = 76 + 10 86 cm Hg

For vertical equilibrium, we have 2Ty = 75N But \(\frac{Ty}{T}\) = \(\frac{adj}{hyp}\) = cos 60º ∴ Ty = T Cos 60º => 2Ty = 2Tcos 60º = 75N 2 x T x 0.5 = 75 => T = 75N ∴ Total tension in the rope = 2 T. = 2 x 75 = 150N

IF the volume of gas is plotted against the reciprocal of pressure, the slope will be given as Slope = V/1/P = P x V thus the unit of the slope will be; P = ForceArea = Nm-2, = V = M3 = NM. The unit NM (Newton - Meter) is the practical unit of work, which is the product of force (N) and Displacement (M). Note: It should be noted that the practical unit of work is Newton-Meter, whereas its S.I unit is Joules, just as energy.

Horizontal range = 3 x maxi. height => (U2Sin2θ) / g = (3 x U2sin2θ) / 2g ∴sin2θ = 3sin2θ2 => 2sinθcosθ = 3sin2θ2 ∴ 4sinθcosθ = 3sin2θ => 4cosθ = 3sinθ ∴ sinθ/cosθ = 4/3; => tanθ = 4/3 = 1.3333 θ = tan-1 (1.3333) = 53o

Power = force x velocity => 80,000 = F x 32 F = \(\frac{80000}{32}\) = 2500N = 2.50 x \(10^3\)N

Y = sin \pi(150\pit - \(\frac{\pix}{4}\)) Comparing the above with the standard wave equation: Y = A sin \pi (\(\frac{(2vt)}{\lambda}\) - \(\frac{(2x)}{\lambda}\)) => the phase difference \(\frac{x}{4}\) = \(\frac{2x}{\lambda}\) ∴ \(\frac{1}{4}\) = \(\frac{2}{\lambda}\) => \lambda = 8cm ∴ \(\frac{2\pix}{8}\) = 45^\circ since \pi = 180^\circ 45^\circ X 8 = 2 X 180^\circ x ∴ x = 1cm

Generally, period T = 1/f(reciprocal of frequency). => f = 1/T And from the diagram, period T = 4s ∴ frequency, f = 1/T = 1/4 = 0.25 Hz

Political Hysteria is a political movement that stems from fear.

The last paragraph gives a summary of what should be the ideal function of a newspaper.

The article is about the ideal daily newspaper.

A good newspaper is one that is simple, logical, and balanced in its news coverage.