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Boyle‘s law stats that the volume of a given mass of a gas, at a constant temperature is inversely proportional to us pressure. Mathematically V ∝ l/p, v = k/p (where k is constant) K = VP Let k = k1 Then, if k = k, V and P = V1P1 V1P1 = V2P2

In an inelastic collision, linear momentum is conserved and energy is decreased Momentum and kinetic energy are conserved in elastic collision

Note: moment of a couple = force × length (fL) The tangential force is actingin an opposite direction alongside its length i.e f1 L1 = f2L2 f2L2 − f1 L1 = 0(i.e Zero)

Energy due to position T is potential energy (P.E) Energy due to motion is kinetic energy (K.E)

F = \(\frac{Gm_1 m_2}{r^2}\) \(M_1 = 10^{24}\)Kg, \(M_2 = 10^{27}\)Kg , r = \(10^{20}\)meters (Note: the gravitational constant of G = \(6.67408\times10^{-11}Nm^2/kg^2\)) F = \(\frac{(6.67 \times 10^{– 11 + 24 + 27})}{ 10^{40}} = 6.67 \times \frac{10^{40}}{10^{40}}\) = 6.67N f = 6.67N

he relationship between M.A, V.R, e and 100% can be written as e = M.A/V.R × 100 % i.e E/100 = M.A/V.R = L ÷ E/x ÷ y = Ly/Ex E/100 = Ly/Ex

Weightlessness:– The state of being free from the effects of gravity. (zero gravity)

A radio waves is an electromagnetic waves which travels with a constant velocity of 3 × 108m/s

Work (w) = Force (f) × Distance (d) Note: f = ma = mass × acceleration = mass ×acceleration ×distance = kg ×ms–2 × m = kg m2 5–2 (Note: the dimension of kg = M, M = L & S = T) Work = ML2 T–2 = Ma Lb Tc i.e. Ma Lb Tc = as 1, b = 2, c = –2 The value of a, band c = 1, 2, –2

Velocity Ratio (V.R) = distance moved by the effort (x)÷ distance moved by the load (y) i.e. V.R = x/y v. R = 5, x/y = ? i.e x/y = 5/1; , where x = 5, y = 1 x : y = 5 : 1

M= 3kg, r = 0.7m, v = 2m/s v = wr w = angular velocity r = radius in an tangential circular v = speed of an object W = V/δ = 2/ 0.7 = 2.85 W = 2.853rads–1 (total interest whole number) W = &approx.; 3rads–1Angular velocity (w) = 3rads–1

The simplest way to change the boiling point of a liquid is to change the surrounding pressure. (a) Using a closed system to artificially increase that pressure will raise the boiling point of a liquid. (b) Boiling point is dependent upon the strength of the bonds between its molecules. For this reason, adding a solute to the liquid will create stronger bonds between molecules, raising the solution’s boiling point without increasing pressure.

Fig (I) (II) (III) are they in which a transformer was designed to reduce an energy loses by reducing through this collective designed or efforts

Note: relative density has no S.I unit ∴ Relative density = weight of substance ÷ weight of equal volume of water RD = w1 ÷ (w1 – w2) (no S. I unit)

Temperature gradient(Tg) = DT \div L = T2 – T1 \div L i.e– it is the ratio of an increment in temperature to the length Hence, Temperature gradient (Tg) has defined direction alongside with magnitude And it is a vector quantity Mass, work & Time are scalar quantity