Home
Class 12
PHYSICS
If velocity of a particle depends on tim...

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 :

A

Distance, distance , acceleration, time

B

Acceleration, distance, time, distance

C

Acceleration, distance, distance, time

D

Distance, acceleration, Distance, time

Text Solution

Verified by Experts

The correct Answer is:
C
Principle of homogeneity
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

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.

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.

Knowledge Check

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

    A
    Uniform acceleration
    B
    Uniform retardation
    C
    Non - uniform acceleration
    D
    Zero acceleration

  • The velocity of a particle depends upon time according to the relation v = alpha t + beta/(t + gamma) . The dimensions of alpha, beta and gamma will be -

    A
    `LT^(-2) , L , T`
    B
    `L, T, LT^(-2)`
    C
    `T,L, LT^(-2)`
    D
    `LT^(-1), L, T`

  • The velocity of a moving particle depends upon time t as v = at+(b)/(t+c) . Then dimensional formula for b is-

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

    • Similar Questions

    Explore conceptually related problems

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

    The displacement x of a particle is dependent on time t according to the relation : x = 3 - 5t + 2t^(2) . If t is measured in seconds and s in metres, find its velocity at t = 2s.

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

    A particle is moving on a straight line with velocity (v) as a function of time (t) according to relation v = (5t^(2) - 3t + 2)m//s . Now give the answer of following questions : Velocity of particle at t = 3 sec. is :

    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 :-

    Home
    Profile