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Answers
Question 1
| (a) | \( R = \frac{V}{I} \) | (b) | \( r = \frac{C}{2\pi} \) | (c) | \( x = \frac{y - 2}{3} \) |
| (d) | \( u = v - at \) | (e) | \( b = \frac{x + 7}{2a} \) | (f) | \( T = \frac{PV}{nR} \) |
| (g) | \( t = \frac{v - u}{a} \) | (h) | \( x = \frac{5 - y}{3} \) | (i) | \( p = \frac{9 - t}{2q} \) |
| (j) | \( n = \frac{2S}{a + d} \) | (k) | \( sin\theta = \frac{n\lambda}{2d} \) | (l) | \( s = \frac{v^2 - u^2}{2a} \) |
Question 2
| (a) | \( b = \frac{2A}{h} \) | (b) | \( L = \frac{p}{2}-B \) | (c) | \( h = \frac{3V}{\pi r^2} \) |
| (d) | \( t = \frac{d}{s} \) | (e) | \( u = \frac{2S - at^2}{2t} \) | (f) | \( h = \frac{A}{2\pi r} - r \) |
| (g) | \( a = \frac{3d}{2k}-\frac{c}{2} \) | (h) | \( d = \frac{2A}{a + b} \) | (i) | \( a = \frac{2A}{d} - b \) |
| (j) | \( x = \frac{a - b}{y} \) | (k) | \( a = \frac{2S}{n}- d \) | (l) | \( cosA = \frac{b^2 + c^2 - a^2}{2bc} \) |
Question 3
| (a) | \( r = \sqrt{\frac{A}{\pi}} \) | (b) | \( c = \sqrt{\frac{E}{m}} \) | (c) | \( r = \sqrt{\frac{3V}{\pi h}} \) |
| (d) | \( u = \sqrt{v^2 - 2as} \) | (e) | \( b = \sqrt{h^2 - a^2} \) | (f) | \( L = g\left( \frac{T}{2\pi}\right) ^2 \) |
| (g) | \( v = \sqrt{\frac{2E}{m}} \) | (h) | \( a = \frac{2(s - ut)}{t^2} \) | (i) | \( g = L\left(\frac{2\pi}{T}\right)^2 \) |
| (j) | \( r = \sqrt[3]{\frac{3V}{4\pi}} \) | (k) | \( x = \sqrt{r^2 - y^2} \) | (l) | \( x = \sqrt{2 - \left(\frac{y}{5}\right)^2} \) |
Question 4
| (a) | \( x = \frac{c}{b - a} \) | (b) | \( x = \frac{y}{p - q} \) | (c) | \( x = \frac{a + c}{3 - b} \) |
| (d) | \( x = \frac{2a}{a - b} \) | (e) | \( x = \frac{2p + 5q}{q - p} \) | (f) | \( x = \frac{2b -a}{3} \) |
| (g) | \( x = \frac{b +cy}{d + y - 3} \) | (h) | \( x =\frac{2}{1-bc} \) | (i) | \( x = \frac{15 - 2a}{a - b - 5} \) |
| (j) | \( x = \frac{bd - 4a}{5 - a - b} \) | (k) | \( x = \frac {2 + cd - ab}{a - c} \) | (l) | \( x = \frac{4 - 2a}{a - 2 - bc} \) |
Question 5
| (a) | \( h = \frac{V}{\pi r^2} \) | (b) | \( y = \frac{2x - a}{x + 1} \) | (c) | \( m = \frac{E}{c^2} \) |
| (d) | \( a = \frac{v - u}{t} \) | (e) | \( I = \frac{V}{R} \) | (f) | \( d = \frac{n\lambda}{2sin\theta} \) |
| (g) | \( t = \frac{v - u}{a} \) | (h) | \( x = \frac{10d - ad^2}{ad + 1 - 2d} \) | (i) | \( v = \frac{fu}{u - f} \) |
| (j) | \( x = \frac{a - y^2}{2} \) | (k) | \( h = \sqrt{\frac{W}{I}} \) | (l) | \( x = \frac{bc - 5a - 2}{a - b -1} \) |