The nearest approximate value of $\sqrt{2023}$ is

Electric current is measured by a tangent galvanometer,where the current is proportional to the tangent of the angle $\theta$ of deflection. If the deflection is read as $45^{\circ}$ and an error of $1 \%$ is made in reading it,then the percentage error in the current is:

The time $T$ of oscillation of a simple pendulum of length $L$ is governed by $T=2 \pi \sqrt{\frac{L}{g}}$,where $g$ is constant. The percentage by which the length must be changed in order to correct an error of loss equal to $2$ minutes of time per day is

The approximate value of $\log _{10} 99$ is (Given $\log _{10} e = 0.4343$)

If there is an error of $\pm 0.04 \text{ cm}$ in the measurement of the diameter of a sphere,then the approximate percentage error in its volume,when the radius is $10 \text{ cm}$,is

If $y=x^{4}-10$ and if $x$ changes from $2$ to $1.99$,what is the change in $y$?