From the units listed below, underline every one that is an SI base unit: ampere, degree Celsius, kilogram, newton.
Fig. 1.1 depicts a horizontal beam fixed at one end with a block attached to the opposite end. The block is made to oscillate vertically. The Young modulus $E$ of the beam material is given by $E = \frac{kM}{T^2}$, where $M$ is the mass of the block, $T$ is the period of the oscillations and $k$ is a constant. A student determines the values and percentage uncertainties of $k$, $M$ and $T$. The student uses the values of $k$, $M$ and $T$ to calculate $E$ as $8.245 \times 10^9\ \text{Pa}$. Calculate the percentage uncertainty in the value of $E$.
Fig. 1.1 depicts a horizontal beam fixed at one end with a block attached to the other end. The block is made to oscillate vertically. The Young modulus $E$ of the beam material is given by $E = \frac{kM}{T^2}$, where $M$ is the mass of the block, $T$ is the period of the oscillations and $k$ is a constant. A student determines the values and percentage uncertainties of $k$, $M$ and $T$. Table 1.1 lists the percentage uncertainties. The student uses the values of $k$, $M$ and $T$ to calculate $E$ as $8.245 \times 10^9\,\text{Pa}$. (i) Calculate the percentage uncertainty in the value of $E$.
Use your answer to (b)(i) to determine $E$, together with its absolute uncertainty, to an appropriate number of significant figures.