Home
Class 11
PHYSICS
If 2V is supplied to a 3F capacitor, cal...

If 2V is supplied to a 3F capacitor, calculate the charge stored in the capacitor.
a) 1.5C
b) 6C
c) 2C
d) 3C

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
a. `h=(2Scostheta)/(rhorg)
LHS=h=[L]`
Surface Tension
`S=F/L=(MT^-2)/L=[MT^-2]
Density
rho= M/V=[ML^-3T^0], Radius
r=[L], g=[LT^-2]`
Now
`RHS= (2Scostheta)/(rhorg)
= ([ML^-2])/([ML^-3T^0][L][LT^-2])
=[M^0L^1M^0]=[L]` Hence the relation is correct., b. Velocity, `v=sqrt((P/rho))
LHS= Demension of v, =[LT^-1], Dimension of P=F/A=[ML^-1T^-2]
Dimension of rho= m/V=[ML^3], RHS=sqrt(P/rho),][([ML^-1T^-2])/([ML^-3])]^(1/2), =[L^2T^-2]^(1/2), =[LT^-10=LHS` Hence relation is correct.
c. `V=((pi Pr^4 t))/((8etal))`, LHS= Dimension of `V=[L^3]`
Dimension of `P=[ML^-1T^-2],r^4=[L^4],t=[T]`, Coefficient of viscosity
`=[ML^-1T^-1]
Dimensions of RHS= ((pi Pr^4t))/(8 etal))
=([ML^-1T^-2][L^4][T])/([ML^-1T^-1][L])
= L^3=LHS`
Hence the relation is correct. d. `v= 1/(2pi) sqrt((mgl)/I),` RHS= dimension fo `v=[T^-1], RHS= sqrt((mgl)/I)
=sqrt(]M][LT^-2][L])/([ML^2]), [([ML^2T^-2])/([ML^2])]^(1/2)
=[T^-1]=LHS`
Hence the relation is correct.
Promotional Banner

Similar Questions

Explore conceptually related problems

If the charge on capacitor is increased by 5C, the energy stored in the capacitor is increased by 21%, what will be initial charge on the capacitor ?

When an AC voltage of 220 V is applied to the capacitor C

In an oscillating L-C circuit the maximum charge on the capacitor is Q. What will be the charge on the plate of the capacitor, when energy stored in magnetic field and electric field are equal ?

A capacitor of 4 mu F is connected as shown in the circuit as per figure. The internal resistance of the batlery is 0.5 Omega . The amount of charge on the capacitor plates will be: (a) 0 mu C (b) 4 mu C (c) 16 muC (d) 8 mu C

In a parallel plate capacitor with air between the plates, each plate has an area of 6 xx 10^(-3)m^(2) and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

In L-C capacitor oscillator at………. Time energy in capacitor and energy in inductor are equal.

If two capacitors C_(1) and C_(2) are connected in a parallel combination then the equivalent capacitance is 10 mu F . If both the capacitors are connected across a l V battery, then energy stored in C_(2) is 4 times of that in C_(1) . The equivalent capacitance if they are connected in series is

Capacitive reactance of a capacitor for a D.C. circuit is.......