To measure the diameter of a wire, a screw gauge is used. In a complete rotation, spindle of the screw gauge advances by $\frac{1}{2} \mathrm{mm}$ and its circular scale has $50$ deviations. The main scale is graduated to $\frac{1}{2} \mathrm{mm}$. If the wire is put between the jaws, $4$ main scale divisions are clearly visible and $10$ deviations of circular scale co-inside with the reference line. The resistance of the wire is measured to be $(10 \mathrm{\Omega }\pm 1\%)$. Length of the wire is measured to be $10 \mathrm{cm}$ using a scale of least count $1 \mathrm{mm}$. Maximum permissible error in resistivity measurement is:

The number of circular divisions on the shown screw gauge is $50$. It moves $0.5 \mathrm{mm}$ on main scale for one complete rotation. Main scale reading is $2$. The diameter of the ball is:

There are two Vernier calipers both of which have $1 \mathrm{cm}$ divided into $10$ equal divisions on the main scale. The Vernier scale of one of the calipers $\left({\mathrm{C}}_1\right)$ has $10$ equal divisions that correspond to $9$ main scale divisions. The Vernier scale of the other caliper $\left({\mathrm{C}}_2\right)$ has $10$ equal divisions that correspond to $11$ main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in $\mathrm{cm}$) by calipers ${\mathrm{C}}_1$ and ${\mathrm{C}}_2$, respectively, are