If the percentage errors in measuring the length and the diameter of a wire are $0.1 \%$ each,the percentage error in measuring its resistance will be: (in $\%$)

The maximum percentage errors in the measurement of mass $(M)$,radius $(R)$,and angular velocity $(\omega)$ of a ring are $2 \%$,$1 \%$,and $1 \%$ respectively. Find the maximum percentage error in the measurement of its rotational kinetic energy $(K = \frac{1}{2} I \omega^{2})$. (in $\%$)

Which relation is wrong?

The length of a cylinder is measured with a meter rod having a least count of $0.1 \, cm$. Its diameter is measured with vernier calipers having a least count of $0.01 \, cm$. Given that the length is $5.0 \, cm$ and the radius is $2.0 \, cm$,the percentage error in the calculated value of the volume will be ......... $\%$

Classify the given physical quantities into vector and scalar: Position,speed,velocity,pressure,acceleration,temperature,force,work,energy.

Which of the following pairs of quantities do not have the same dimensions?