Home
Class 12
PHYSICS
Mathc list I with II and select the corr...

Mathc list I with II and select the correct answer :
`{:((A)"spring constant",(1)M^(1)L^(2)T^(-2)),((B)"pascal",(2)M^(0)L^(0)T^(-1)),((C)"hertz",(3)M^(1)L^(0)T^(-2)),((D)"joule",(4)M^(1)L^(-1)T^(-2)):}`

A

`4hat(i)+3hat(j)`

B

`4hat(i)+8hat(j)`

C

`8hat(i)+4hat(j)`

D

`-8hat(i)+4hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
D

Equipotential lines are always `bot^(r)` to the electric field strength lines.
`:'` Slope of equipotential lines `=2`
`:.` Slope of electric field must be `=-1//2`
`rArr` Electric field strength vector `=8hat(i)+4hat(j)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Match the physical quantities given on column I with dimensions expressed in terms of mass (M) length (L) time (T), and charge (Q) given in column II and write the correct answer against the matched quantity in a tabular form in your answer book. {:("Column-I",,"Column-II"),("Angular momentum",,[ML^(2)T^(-2)]),("Latent heat",,[ML^(2)Q^(-2)]),("Torque",,[ML^(2)T^(-1)]),("Capacitance",,[ML^(3)T^(-1)Q^(-2)]),("Inductance",,[M^(-1)L^(-2)T^(2)Q^(2)]),("Resistivity",,[L^(2)T^(-2)]):}

Match List I with List II and select the correct answer using the codes given below the lists: {:(,"List I",,,"List II"),(P.,"Boltzmann constant",,1.,[ML^(2)T^(-1)]),(Q.,"Coefficient of viscosity",,2.,[ML^(-1)T^(-1)]),(R.,"Planck constant",,3.,[MLT^(-3)K^(-1)]),(S.,"Thermal conductivity",,4.,[ML^(2)T^(-2)K^(-1)]):}

Write six physical quantities which have dimension of M^(1)L^(2)T^(-2)

In Column-I physical quantity and in Column -II its dimensional formula is givne. Match them properly : {:("Column-I","Column-II"),("(1) Moment of force",(a) M^1L^1T^-1),("(2) Angular momentum",(b) M^1L^2T^-1),("(3) Linear momentum",(c) M^1L^2T^-2):}

If l, m, n denote the side of a pedal triangle, then (l)/(a ^(2))+(m)/(b^(2))+(n)/(c ^(2)) is equal to

If x^(2)+y^(2)=t-(1)/(t)andx^(4)+y^(4)=t^(2)+(1)/(t^(2)), then ((dy)/(dx))_((1.1)) is…………

Let R_(t) represents activity of a sample at an insant and N_(t) represent number of active nuclei in the sample at the instant. T_(1//2) represents the half life. {:(,"Column I",,"Column II"),((A),t=T_(1//2),(p),R_(t)=(R_(0))/(2)),((B),t=(T_(1//2))/(ln2),(q),N_(0)-N_(t)=(N_(0))/(2)),((C),t=(3)/(2)T_(1//2),(r),(R_(t)-R_(0))/(R_(0)) = (1-e)/(e)),(,,(s),N_(t)=(N_(0))/(2sqrt(2))):}

For any arbitrary motion in space , which of the following relations are true : (a) V_("average")=(1//2)(v(t_(1))+v(t_(2))) (b) V_("average")=[r(t_(2))-r(t_(1))]//(t_(2)-t_(1)) (c ) V(t)=V(0)+at (d) r(t) =r(0)+v(0)T+(1//2)at^(2) (e ) a_("average")=[v(t_(2))-v(t_(1))]//(t_(2)-t_(1)) (The average stands for average of the quantity over the time interval t_(1)" to "t_(2))

A closed of length l containing a liquid of variable density rho(x)=rho_(0)(1+alphax) find the net force exerted by the liquid on the axis of rotation. (take the cylinder to be massless and A= cross sectional area of cylinder) (a). rho_(0)Aomega^(2)l^(2)[(1)/(2)+(1)/(3)alphal] (b). rho_(0)Aomega^(2)l^(2)[(1)/(2)+(2)/(3)alphal] (c). rho_(0)Aomega^(2)l^(2)[(1)/(2)+alphal] (d). rho_(0)Aomega^(2)l^(2)[(1)/(2)+(4)/(3)alphal]

At t = 0, time in L-C oscillator circuit …….