List-I contains units/dimensions and List-II some combination of quantities. Match the List-I to List-II. List I List II(P)Henry(1)LC where L is inductance and C is capacitance(Q)Second(2)Mℓ2Q2,ℓ is length, M-mass and Q is charge(R)(Second)3(3)RC, R is resistance & C is capacitance(S)Dimensionless(4)C2LR, C-capacitance, L = Inductance, R is resistance (5)PCQwhere Q is radiation energy striking unit area per second. c is speed of light and P is radiation pressure. (P)(Q)(R)(S)1)21,3452)51243)53124)2143 , 4

RC is time constant LC is inverse of frequency and PcQis dimensionless as P =QC.Also Henry=volt -sAmp=EnergyCharge×s2Charge=Ml2Q2

List-I contains units/dimensions and List-II some combination of quantities. Match the List-I to List-II. List I List II(P)Henry(1)LC where L is inductance and C is capacitance(Q)Second(2)Mℓ2Q2,ℓ is length, M-mass and Q is charge(R)(Second)3(3)RC, R is resistance & C is capacitance(S)Dimensionless(4)C2LR, C-capacitance, L = Inductance, R is resistance (5)PCQwhere Q is radiation energy striking unit area per second. c is speed of light and P is radiation pressure. (P)(Q)(R)(S)1)21,3452)51243)53124)2143 , 4

RC is time constant LC is inverse of frequency and PcQis dimensionless as P =QC.Also Henry=volt -sAmp=EnergyCharge×s2Charge=Ml2Q2

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List-I contains units/dimensions and List-II some combination of quantities. Match the List-I to List-II.
List I List II
(P) Henry (1) $\sqrt{LC}$ where L is inductance and C is capacitance
(Q) Second (2) $\frac{{Mℓ}^{2}}{Q^{2}}, ℓ$ is length, M-mass and Q is charge
(R) (Second)³ (3) RC, R is resistance & C is capacitance
(S) Dimensionless (4) C²LR, C-capacitance, L = Inductance, R is resistance
(5) $\frac{PC}{Q}$ where Q is radiation energy striking unit area per second. c is speed of light and P is radiation pressure.
(P) (Q) (R) (S)
1) 2 1,3 4 5
2) 5 1 2 4
3) 5 3 1 2
4) 2 1 4 3 , 4

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Detailed Solution

RC is time constant $\sqrt{LC}$ is inverse of frequency and $\frac{Pc}{Q}$ is dimensionless as P = $\frac{Q}{C}$ .Also Henry= $\frac{v o l t - s}{A m p} = \frac{\frac{E n e r g y}{C h a r g e} \times s^{2}}{C h a r g e} = \frac{M l^{2}}{Q^{2}}$

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