Home
Class 11
PHYSICS
If x= at + bt^(2) , where x is the dist...

If ` x= at + bt^(2)` , where `x` is the distance rtravelled by the body in kilometer while `t` is the time in seconds , then find the units of `b`.

Text Solution

Verified by Experts

From the principle of dimensional homogenity , `[ x] = [ bt^(2)]`
rArr `[b] = [(x)/( t^(2))]`
Therefore , unit of `b = km s^(-2)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Exercise 1.2|6 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Exercise 1.3|17 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If x = a + bt + ct^2 , where x is metres and t in seconds, then the unit of a is

If x =2 at -5 bt^2, where x is in metre and t is in seconds, find the dimensions of a//b.

Knowledge Check

  • If x=at+bt^(2) , where x is the distance travelled by the body in kilometres while t is the time in seconds, then the units of b are

    A
    `km//s`
    B
    `km-s`
    C
    `km//s^(2)`
    D
    `km-s^(2)`

  • If the distance s travelled by a body in time t is given by s = a/t + bt^2 then the acceleration equals

    A
    `(2a)/(t^3) + 2b`
    B
    `(2s)/(t^2)`
    C
    `2b - (2a)/(t^3)`
    D
    `s/(t^2)`

  • If x = at + bt^(2) where x is in meter (m) and t is in hour (hr) then unit of b will be .

    A
    `m^(2)//hr`
    B
    m
    C
    `m//hr`
    D
    `m//hr^(2)`

    • Similar Questions

    Explore conceptually related problems

    .If x= at +bt^2 where x is in metre and t in hour,what will be the unit of a and b?

    If x=a+bt+ct^(2) , where x is in metre and t in seconds, what is the unit of c ?

    The distance covered by a particle in time t is given by x=a+bt+ct^2+dt^3 , find the dimensions of a,b,c and d.

    A body o fmass 6 kg moves in a staight line according to the equation x= t^(3)-75t , where x denotes the distance in metre and t the time in second. The force on the body at t=4s is

    A plane wave is represented by x=1.2 sin (3 14 t + 12.56 y) Where x and y are distances measured along in x and y direction in meters and t is time in seconds. This wave has

    Home
    Profile