Home
Class 12
PHYSICS
Statement-I : If x and y are the distanc...

Statement-I : If x and y are the distance along x and y axes respectively then the dimensions of `(d^(3)y)/(dx^(3))` is `M^(0)L^(-2) T^(@)`
Statement-II : Dimensions of `underset(a)overset(b)(int) ydx` is `M^(0)L^(2)T^(@)`

Text Solution

Verified by Experts

The correct Answer is:
(A) p, r (B) p, q, s (C) p, q (D) r, s
`:'` Electric field due to an electric dipole at a point on equatorial line of dipole makes either `0^(@)` or `180^(@)` with the dipole moment of another dipole.
`:.` Torque on dipole `vec(tau)=vec(P)xxvec(E)` becomes zero
`( :' theta=0 or theta=180^(@))` Hence in column II.
[P] option is suit for every queries for column I. Electrostalic potential energy `(U)=-PE cos theta`
`theta=` Angle between moment & electric field.
[A] Here `theta=180^(@) :. U=-PE cos 180^(@)=PE`(+ve)
[B] Here `theta=0^(@) :. U=-PE cos theta=-PE` (-ve)
`[C] & [D] : theta lt 90^(@) :. U=` -v
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

x=a sin t and y= a (cos t + log "tan"(t)/(2)) then find (d^(2)y)/(dx^(2)) .

If x=a (cos t+ t sin t) and y= a (sin t - t cos t) , find (d^(2)y)/(dx^(2)) .

x= f(t), y= phi (t) then (d^(2)y)/(dx^(2)) = ……..

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

In the formula X=3YZ^(2), X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system?

If x^(m).y^(n)= (x+ y)^(m+n) then show that, (d^(2)y)/(dx^(2))=0

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is