Home
Class 11
PHYSICS
Consider the equation d/(dt)(int vec(F)....

Consider the equation `d/(dt)(int vec(F). dvec(S))=A(vec(F).vec(p))` where `vec(F) equiv` force, `vec(s) equiv` displacement, t `equiv` time and `vec(p)`= momentum. The dimensional formila of A will be

A

`M^(0)L^(0)T^(0)`

B

`ML^(0)T^(0)`

C

`M^(-1)L^(0)T^(0)`

D

`M^(0)L^(0)T^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`[d/(dt)(int vec(F).dvec(S))]=[A(vec(F).vec(p))]rArr[(Fs)/t]=[AFp]rArr[A]=[s/(pt)]=(L)/(MLT^(-1)xxT)=M^(-1)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Maxwell’s equation oint vec(E).vec(dl) = (d vec(B).vec(A))/dt is a statement of-

if vec(P) xx vec(R ) = vec(Q) xx vec(R ) , then

vec(r)=2that(i)+3tvec(2)hat(j) . Find vec(v) and vec(a) where vec(v)=(dvec(r))/(dr) , vec(a)=(dvec(v))/(dt)

If a force vec(F) = (vec(i) + 2 vec(j)+vec(k)) N acts on a body produces a displacement of vec(S) = (4vec(i)+vec(j)+7 vec(k))m , then the work done is

Consider the following statements: 1. The magnitude of vec(a) xx vec(b) is same as the area of a triangle with sides vec(a) and vec(b) . 2. If vec(a) xx vec(b)=vec(0) where vec(a) ne 0. vec(b) ne 0 then vec(a) = lamda vec(b) which of the following statements is/are correct?

The position of the particle is given by vec(r )=(vec(i)+2vec(j)-vec(k)) momentum vec(P)= (3vec(i)+4vec(j)-2vec(k)) . The angular momentum is perpendicular to

A smooth track in the form of a quarter circle of radius 6 m lies in the vertical plane. A particle moves from P_(1) to P_(2) under the action of forces vec F_(1),vecF_(2) and vec F_(3) Force vec F_(1) is 20N, Force vec F_(2) is always 30 N in magnitude. Force vec F_(3) always acts tangentiallly to the track and is of magnitude 15 N . Select the correct alternative (s) : .

Poynting vectors vec(S) is defined as vec(S)=(1)/(mu_(0))vec(E)xx vec(B) . The average value of 'vec(S)' over a single period 'T' is given by

Consider the following statements 1. For any three vectors vec(a) vec(b) vec(c ) vec(a).{(vec(b) + vec(c )) xx vec(a) + vec(b) + vec(c )}=0 2. for any three coplanar vectors vec(d), vec(e ), vec(f), (vec(d) xx vec(e )) .vec(f )= 0

When force vec(F_(1)), vec(F_(2)),vec(F_(3))"…..."vec(F_(n)) act on a particle , the particle remains in equilibrium . If vec( F_(1)) is now removed then acceleration of the particle is