4MA0 Higher January 2015 Paper 4R Q12
12 \(I = kT^4\)
\(k = 5.67 \times 10^{-8}\)
\(T = 5800\)
(a) Work out the value of \(I\).
Give your answer in standard form correct to 3 significant figures. (2)
Give your answer in standard form correct to 3 significant figures. (2)
(b) Rearrange the formula \(I = kT^4\) to make \(T\) the subject. (2)
| Scheme | Marks |
|---|---|
| \(5.67 \times 10^{-8} \times 5800^4\) | M1 |
| \(6.42 \times 10^7\) | A1 |
| (2) |
Notes
M1: for digits 641(6…) or 642
A1: for \(6.4 \times 10^7 - 6.42 \times 10^7\)
| Scheme | Marks |
|---|---|
| \(T^4 = \dfrac{I}{k}\) | M1 |
| \(T = \sqrt[4]{\dfrac{I}{k}}\) oe | A1 |
| (2) | |
| (4 marks) |
Notes
M1: \(T^4 = \dfrac{I}{k}\)
A1: Allow ±