JEE Main 2022 · 25 Jul · Shift 1 · Physics Q40

← JEE Main 2022 · 25 Jul · Shift 1

PhysicsSingle correct+4 / -1Question 40 of 90

A condenser of 2 $\mu$ F capacitance is charged steadily from 0 to 5 C. Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge (Q) on the condenser ?

Straight line from origin to 2.5 × 10⁶ V at 5 C

V (×10⁶ V) against Q (C): straight line from the origin reaching 2.5 at Q = 5.

Curve rising ever more steeply to 5 × 10⁶ V at 5 C

V (×10⁶ V) against Q (C): concave-up curve from the origin reaching 5 at Q = 5.

Straight line from origin to 5 × 10⁶ V at 5 C

V (×10⁶ V) against Q (C): straight line from the origin reaching 5 at Q = 5.

Curve rising and levelling off near 2.5 × 10⁶ V

V (×10⁶ V) against Q (C): concave-down curve from the origin levelling off near 2.5.

Answer and worked solution

Official answer: A

V = Q/C is linear, reaching $\frac5{2\times10^{-6}}=2.5\times10^6$ V at 5 C.

(A)

Topics:Capacitors and capacitance

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JEE Main 2022 · 25 Jul · Shift 1, Physics question 40