Question

(19)The dimensions of resistance X capacitance are same as that of
(A) current
(B) energy
(C) frequency
(D) time

Answer 1

question : The dimensions of resistance × capacitance are same as that of

(A) current

(B) energy

(C) frequency

(D) time

solution : let's find dimensions of resistance.

we know, Power = i² × R

so dimensions of power = dimensions of i² × dimensions of R

⇒[ML²T¯³] = [A²] × dimensions of resistance

⇒dimensions of resistance = [ML²T¯³A¯²]

also find dimensions of capacitance.

we know, energy stored in a capacitor , E = q²/2C

so dimensions of E = dimension of q²/dimension of C

⇒[ML²T¯²] = [A²T²]/dimensions of C

⇒dimensions of capacitance = [A²T²]/[ML²T¯²]

= [M¯¹L¯²T⁴A²]

now dimensions of resistance × capacitance = [ML²T¯³A¯²] × [M¯¹L¯²T⁴A²]

= [T] = dimensions of time

Therefore option (D) is correct choice.

Answer 2

Answer:

(D) Time

hope this helps u.................