Units and Measu...

If $$L,C$$ and $$R$$ denote the inductance, capacitance and resistance respectively, the dimensional formula for $${C}^{2}LR$$ is :

The dimensions of angular momentum/ magnetic moment are

The dimensions of $$\dfrac {\alpha}{\beta}$$ in the equation $$F = \dfrac {\alpha - t^{2}}{\beta v^{2}}$$, where $$F$$ is force, $$v$$ is velocity and $$t$$ is time, is :

While measuring the length of a wooden box, the reading at one end is 1.5 cm and the other end is 4.7 cm. What is the length of the wooden box?

The position x of a particle at time t is given by $$x = \dfrac{v_{0}}{a}(1 - e^{-at})$$ where $$v_{0}$$ is a constant and a > 0. The dimensional formula of $$v_{0}$$ and a are

The dimensional formula for permittivity of free space $$(\epsilon_{0})$$ in the equation $$F = \dfrac {1}{4\pi \epsilon_{0}} \dfrac {q_{1}q_{2}}{r^{2}}$$ where, symbols have their usual meaning is

The sun's angular diameter is measured to be 1920". The distance of the sun from the earth is $$1.496 \times 10^{11} m$$. What is the diameter of the sun then?

Four charges are placed at the circumference of the dial of a clock as shown in figure. If the clock has only hour hand, then the resultant force on a positive charge $$q_{0}$$ placed at the centre, points in the direction which shows the time as :-

Four pieces of wooden sticks P, Q, R and S are placed along the length of 15 cm long scale as shown in figure. What is the average length of these sticks?

Which one of the following methods is used to measure distance of a planet or a star from the earth?