Home
Class 12
PHYSICS
The force is given in terms of time t an...

The force is given in terms of time t and displacement x by the equation
F = A cos Bx + C sin Dt
The dimensional formula of `(AD)/(B) ` is :

A

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

B

`[M L^2 T^(-3)]`

C

`[M^1 L^1 T^(-2)]`

D

`[M^2 L^2 T^(-3)]`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION-B)|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION - A) |40 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS|246 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION -B)|10 Videos

Similar Questions

Explore conceptually related problems

For force equation F= A cos(Bx) + C sin(Dt) . Find dimension of (AD)/B

Force F is given in terms of time t and distance x by F= A sinCt+ B cosDx . Then dimensions of (A)/(B) and (C)/(D) are

Knowledge Check

  • The force F is given in terms of time t and displacement x by the equation F=A cos Bx+Csin Dt . The dimensions of (D)/(B) are

    A
    `M^(@)L^(@)T^(@)`
    B
    `M^(@)L^(@)T^(-1)`
    C
    `M^(@)L^(-1)T^(@)`
    D
    `M^(@)L^(1)T^(-1)`

  • Force xx velocity =x . The dimensional formula of x is

    A
    `MLT^(-2)`
    B
    `ML^(2)T^(-2)`
    C
    `ML^(2)T`
    D
    `ML^(2)T^(-3)`

  • Force F is given in terms of time t and distance x by F = A sin Ct + B cos Dx . Then the dimensions of A//B and C//D are

    A
    `[M^(0) L^(0) T^(0)] , [M^(0) L^(0) T^(-1)]`
    B
    `[M L T^(-2)] , [M^(0) L^(-1) T^(0)]`
    C
    `[M^(0) L^(0) T^(0)] , [M^(0) L T^(-1)]`
    D
    `[M^(0) L^(1) T^(-1)] , [M^(0) L^(0) T^(0)]`

    • Similar Questions

    Explore conceptually related problems

    The velocityof a body is given by the equation v = (b)/(t) + ct^(2) + dt^(3) The dimensional formula of b is

    Given that the displacement of an oscillating particle is given by y=Asin(Bx+Ct+D) . The dimensional formula for (ABCD) is

    The displacement y in cm is given in terms of time t sec by the equation y=3sin314t+4cos314t The amplitude of SHM is

    If force F velocity V and time T are taken as fundamental units, find the dimensions of force in the dimensional formula of pressure

    In the following equation, x, t and F represent respectively, displacement, time and force: F = a + bt + (1)/(c+d. x)+ Asin(omegat+phi) The dimensional formula for A. d is

    Home
    Profile