$$ \text { Match List - I with List - II. } $$
| $$ \text { List - I } $$ |
$$ \text { List - II } $$ |
||
|---|---|---|---|
| A. | Meter (L) | I. | $$ \sqrt{\frac{h c}{G}} $$ |
| B. | Second (S) | II. | $$ \sqrt{\frac{G h}{c^5}} $$ |
| C. | Kilogram (M) | III. | $$ \sqrt{\frac{K^2 L^2 c^3}{G h}} $$ |
| D. | Kelvin (K) | IV. | $$ \sqrt{\frac{G h}{c^3}} $$ |
where h (Planck's constant), G (gravitational constant) and c (speed of light in vacuum) as fundamental units.
Choose the correct answer from the options given below :
In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A , respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA , respectively. The estimated error in the resistance measurement is $\_\_\_\_$ $\Omega$
In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and $7^{\text {th }}$ Vernier division coincides with a main scale reading. If the value of 1 main scale division is 1 mm and there are 10 Vernier scale divisions, then the Vernier caliper has
$L, C$ and $R$ represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula $\mathrm{ML}^2 \mathrm{~T}^{-4} \mathrm{~A}^{-2}$ corresponds to $\_\_\_\_$ .
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