Assertion : L / R and C R both have same dimensions. Reason : L /… - Vidyadip

Question

Assertion $\quad: L / R$ and $C R$ both have same dimensions.
Reason $\quad: \quad L / R$ and $C R$ both have dimension of time.

✓

Answer

(a) Unit of quantity (L/R) is Henry/ohm.As Henry $=\mathrm{ohm} \times \mathrm{sec}$, hence unit of $L / R$ is sec i.e. ([\mathrm{L} / \mathrm{R}]=[\mathrm{T}]$.Similarly, unit of product CR is farad $\times$ ohm or, $\frac{\text { Coulomb }}{\text { Volt }} \times \frac{\text { Volt }}{\text { Amp }}$ or, $\frac{\text { Sec } \times A m p}{A m p}$ or, sec i.e. $[\mathrm{CR}]=$ $[\mathrm{T}]$ therefore $[\mathrm{L} / \mathrm{R}]$ and $[\mathrm{CR}]$ both have the same dimension.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Assertion & Reason" from Units, Dimensions and Measurement→Units, Dimensions and Measurement — all question types→JEE physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Assertion : The reverberation time dependent on the the shape of enclosure, position of source and observer.
Reason : The unit of absorption coefficient in $m k s$ system is metric sabine.

Assertion : Force cannot be added to pressure.
Reason : Because their dimensions are different.

Assertion : Eddy currents is produced in any metallic conductor when magnetic flux is changed around it.
Reason : Electric potential determines the flow of charge

Assertion : Wire through which current flows gets heated.
Reason : When current is drawn from a cell, chemical energy is converted into heat energy.

Assertion : There is no current in the metals in the absence of electric field.
Reason : Motion of free electron are randomly.

Assertion $\quad:$ In series $L C R$ circuit resonance can take place.
Reason : Resonance takes place if inductance and capacitive reactances are equal and opposite.

Assertion : Zener diode works on a principle of breakdown voltage.
Reason : Current increases suddenly after breakdown voltage.

Assertion : To empty an oil tank, two holes are made.
Reason : Oil will come out two holes so it will emptied faster.

Assertion : The tangent galvanometer can be made more sensitive by increasing the number of turns of its coil.
Reason : Current through galvanometer is proportional to the number of turns of coil.

Assertion : Rocket in flight is not an illustration of projectile.
Reason : Rocket takes flight due to combustion of fuel and does not move under the gravity effect alone.