$2 \times 10^{-12}$
Step 1: 1 $\mu$m = $10^6$ pm.
Step 2: Given length is 6 $\mu$m. So, \[ x = 6 \times 10^6 { pm} \] Step 3: Therefore, the correct answer is (D).
A quantity \( X \) is given by: \[ X = \frac{\epsilon_0 L \Delta V}{\Delta t} \] where:
- \( \epsilon_0 \) is the permittivity of free space,
- \( L \) is the length,
- \( \Delta V \) is the potential difference,
- \( \Delta t \) is the time interval.
The dimension of \( X \) is the same as that of:
The expression given below shows the variation of velocity \( v \) with time \( t \): \[ v = \frac{At^2 + Bt}{C + t} \] The dimension of \( A \), \( B \), and \( C \) is:
Match List-I with List-II.
Choose the correct answer from the options given below :