Home
Class 11
PHYSICS
The velocity v of the a particle depends...

The velocity v of the a particle depends upen the time t according to the equation ` v= a + bt + ( c) /(d+1) ` Write the dimension of a, b,c and d.

Text Solution

AI Generated Solution

To determine the dimensions of a, b, c, and d from the equation \( v = a + bt + \frac{c}{d+1} \), we need to ensure that all terms on the right-hand side have the same dimensions as velocity (v). ### Step-by-step Solution: 1. **Identify the Dimension of Velocity (v)**: - Velocity is defined as distance per unit time. - Therefore, the dimension of velocity \( [v] = [L][T^{-1}] \) where \( L \) is length and \( T \) is time. ...
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Single Correct|20 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise More Than One Correct|5 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

Similar Questions

Explore conceptually related problems

The velocity upsilon of a particle depends upon time t, according to the equation upsilon = a+ bt +(c )/(d +t) Write the dimensions of a,b,c, and d.

The velocity (V) of a particle (in cm/s) is given in terms of time (t) in sec by the equation V=at+(b)/(c+t) . The dimensions of a, b and c are

The velocity of a body depends on time according to the equative v = 20 + 0.1 t^(2) . The body is undergoing

If velocity of a particle depends on time t, according to equation v = sqrt(ab) + (b)/(t) + (c )/(d + t) Then a, b, c, d represents the following quantities in order :

The velocity fo a body depends on time according to equation, v= 20 + 0.1 t^2 . The body is undergoing.

The velocity of a body depends on time according to the equation v=(t^(2))/(10)+20 . The body is undergoing

The position of a particle moving along x-axis depends on time according to the equation x = at^2 +bt^3, where x is in metre and t is in sec. What are the units and dimensions of a and b : what do they represent?

If the velocity of a particle "v" as a function of time "t" is given by the equation,v=a(1-e^(-bt) ,where a and b are constants,then the dimension of the quantity a^2*b^3 will be