SATHEE: Physics And Measurement Question 254

Physics And Measurement Question 254

Question: A quantity X is given by $ε_{0} L \frac{Δ V}{Δ t}$ where $\in_{0}$ is the permittivity of the free space, L is a length, $Δ V$ is a potential difference and $Δ t$ is a time interval. The dimensional formula for X is the same as that of

Options:

A) Resistance

B) charge

C) Voltage

D) current

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Dimensionally $ε_{0} L = C$ where C= capacitance Now the given expression reduces to $C Δ V / Δ t .$ Dimensionally $C Δ V = q$ where q is charge. Again the given expression reduces to $q / Δ t .$ Dimensionally $\frac{q}{Δ t} = I$ where I is current

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Physics And Measurement Question 254

Question: A quantity X is given by ε0LΔVΔt where ∈0 is the permittivity of the free space, L is a length, ΔV is a potential difference and Δt is a time interval. The dimensional formula for X is the same as that of

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Question: A quantity X is given by $ε_{0} L \frac{Δ V}{Δ t}$ where $\in_{0}$ is the permittivity of the free space, L is a length, $Δ V$ is a potential difference and $Δ t$ is a time interval. The dimensional formula for X is the same as that of