(a)[2]
State any two SI base quantities other than mass, length and time.
(b(i).1)[1]
Show that the SI base units of the Young modulus are $\text{kg m}^{-1}\text{s}^{-2}$.
(b)
A beam is fixed at one end and an object $X$ is attached to the other end of the beam, as shown in Fig. 1.1. The object $X$ is then made to oscillate vertically. The time period $T$ of the oscillations is given by $T = K \sqrt{\frac{M l^{3}}{E}}$, where $M$ is the mass of $X$, $l$ is the distance between the clamp and $X$, $E$ is the Young modulus of the material of the beam and $K$ is a constant.
(b(i))[1]
Show that the SI base units of the Young modulus are $\text{kg m}^{-1}\text{s}^{-2}$.
(b(ii))[4]
The oscillation data for $X$ are given in SI units in Fig. 1.2. Calculate $E$ and its actual uncertainty.