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 solve the problem, we need to analyze the given equation for velocity \( v \) in terms of time \( t \): \[ v = a + bt + \frac{c}{d + 1} \] We will find the dimensions of \( a \), \( b \), \( c \), and \( d \) based on the principle of homogeneity of dimensions, which states that all terms in an equation must have the same dimensions. ...
Promotional Banner

Topper's Solved these Questions

  • UNIT AND DIMENSIONS

    DC PANDEY ENGLISH|Exercise Single Correct|20 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY ENGLISH|Exercise More Than One Correct|5 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|9 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY ENGLISH|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

The velocity of a particle change with time according to the relation v=xt+yt^(2)+z . Give the dimensions of x,y and z if v is in ms^(-1) and t is in s.

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

The displacement y(t) of a particle depends on time according in equation y(t)=a_(1)t-a_(2)t^(2) . What is the dimensions of a_(1) and a_(2) ?

The position of a particle moving along the x-axis depends on the time according to the equation x=ct^(2)-bt^(3) , where x is in meters and t in seconds. (a)What units must c and b have ?Let their numerical value be 3.0 and 2.0, respectively. (b)What distance does the particle move. (c)WHat is its displacement? At t=1.0,2.0,3.0 and 4.0 ,What are (d) its velocities and (e) its accelretions?

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

A particle starts moving rectilinearly at time t=0 such that its velocity v changes with time t according to the equation v=t^(2)-t , where t is in seconds and v in s^(-1) . Find the time interval for which the particle retards.

The figure shows the velocity (v) of a particle plotted against time (t).