MCQ 11 Mark
Assertion (A) : The quantity L/R possesses the dimension of time.
Reason (R): In order to reduce the rate of increase of current through a solenoid, we should increase the time constant.
Reason (R): In order to reduce the rate of increase of current through a solenoid, we should increase the time constant.
- ABoth A and R are true and R is the correct explanation of A.
- BBoth A and R are true but R is not the correct explanation of A.
- CA is true but R is false.
- DA is false but R is true.
Answer
View full question & answer→(c): A is true but R is false
Explanation: $I=\frac{\varepsilon}{R}=\frac{L}{R} \frac{d I}{d t}$
or $\left[\frac{L}{R}\right]=I \cdot \frac{d t}{d I}=\frac{[I] T T]}{[I]}=[ T ]$
$\therefore A$ is true but $R$ is false.
In order to reduce the rate of increase of current through the solenoid, we increase time constant ( ). But L is given to be constant, so we use a high resistance R in series with it.
Explanation: $I=\frac{\varepsilon}{R}=\frac{L}{R} \frac{d I}{d t}$
or $\left[\frac{L}{R}\right]=I \cdot \frac{d t}{d I}=\frac{[I] T T]}{[I]}=[ T ]$
$\therefore A$ is true but $R$ is false.
In order to reduce the rate of increase of current through the solenoid, we increase time constant ( ). But L is given to be constant, so we use a high resistance R in series with it.