Home
Class 11
PHYSICS
Consider the following equation F=a sqrt...

Consider the following equation `F=a sqrt(x)+bt^(2)`. If the dimensions of `a"/"b " are "M^(p)L^(q)T^(r )` then calculate value of : -qr
0,1,2,3,4,5,6,7,8,9.

Text Solution

AI Generated Solution

To solve the equation \( F = a \sqrt{x} + b t^2 \) and determine the values of \( p, q, r \) in the dimensions of \( a \) and \( b \), we will follow these steps: ### Step 1: Identify the dimensions of \( F \) The force \( F \) has the dimensions of mass times acceleration, which can be expressed as: \[ [F] = M L T^{-2} \] ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise COMPETITION FILE (MATRIX MATCH TYPE QUESTIONS)|1 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Consider the following equation P=A sin(Bt+Ct^(2))+x Here t is time and x is length the dimensions of AB/C will be

Consider the following table Then calculate value of "p+q+r-s-t".

What is the dimension of length in moment of inertia? 0,1,2,3,4,5,6,7,8,9.

Consider the equation of the form x^(2)+px+q=0 , then number of such equations that have real roots and have coefficients p and q in the set {1,2,3,4,5,6} (p may be equal to q) is

If P(4,7), Q(7,2) R(a,b) and S(3,8) are the vertices of a parallelogram then find the value of a and b.

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and (alpha)/(2),2 beta be the roots of the equation x^(2)-qx+r=0, the value of r is (2007,3M)x^(2)-qx+r=0, the value of r is (2007,3M)(2)/(9)(p-q)(2q-p)(b)(2)/(9)(q-p(2p-q)(2)/(9)(q-2p)(2q-p)(d)(2)/(9)(2p-q)(2q-p)

If p,q and r are the roots of the equation x^(3)+5x^(2)-16x+48=0 then value of the expression p(qr+q+r)+qr is :