Home
Class 12
PHYSICS
P = (nx^(y)T)/(V(0))e^(-(Mgh)/(nxT)), wh...

`P = (nx^(y)T)/(V_(0))e^(-(Mgh)/(nxT))`, where n is number of moles, P is represents acceleration due to gravity and h is height. Find dimension of x and value of y.

Text Solution

Verified by Experts

The correct Answer is:
`[ML^2T^(-2)mu^(-1)K^(-1)] [ M^0 L^(-0)T^0]`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION J (Aakash Challengers )|8 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise EXERCISE|20 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION H (Multiple True-False)|6 Videos

  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos

  • WAVE OPTICS

    AAKASH INSTITUTE|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

Find ratio of acceleration due to gravity g at depth d and at height h where d=2h

The velocity of a freely falling body changes as g^ph^q where g is acceleration due to gravity and h is the height. The values of p and q are

Let us consider an equation (1)/(2)muepsilon^2 = mgh, Where m is the mass of the body, upsilon its velocity, g is acceleration due to gravity and h is the height. Check whether this equation is dimensionally correct.

Acceleration due to gravity as same at height h from surface and at depth h from surface, then find value of h

The acceleration due to gravity becomes (g)/(16) at a height of nR from the surface of earth. Find the value of n.

Find the dimensions of K in the relation T = 2pi sqrt((KI^2g)/(mG)) where T is time period, I is length, m is mass, g is acceleration due to gravity and G is gravitational constant.

The value fo x in the formula Y = (2mg l^(x))/(5bt^(3)e) where m is the mass, 'g' is acceleration due to gravity, l is length , 'b' is the breath, 't' is the thickness and e is the extension and Y is Young's Modulus is

A particle of mass m is fired vertically upward with speed v_(0) (v_(0) lt " escape speed ") . Prove that (i) Maximum height attained by the particle is H = (v_(0)^(2)R)/(2gR - v_(0)^(2)) , where g is the acceleration due to gravity at the Earth's surface and R is the Earth's radius . (ii) When the particel is at height h , the increase in gravitational potential energy is (mgh)/(1+h/R)

The Bernoulli's equation is given by P+1/2 rho v^(2)+h rho g=k . Where P= pressure, rho = density, v= speed, h=height of the liquid column, g= acceleration due to gravity and k is constant. The dimensional formula for k is same as that for:

The acceleration due to gravity at a height h is given by g_(h)=g((R )/(R+h))^(2) , where g is the accleeration due to gravity on the surface of earth. For h lt lt R , find the value of g using the Binomial theorem.

AAKASH INSTITUTE-UNITS AND MEASUREMENTS-ASSIGNMENT SECTION I (Subjective)
  1. Write down the number of significant figures in the following . (A)8...

    Text Solution

    |

  2. Round off to four significant figures (A) 49.687 ,(B) 2.0095

    Text Solution

    |

  3. Find the dimensions of alpha//beta in equation P=(alpha-t^2)/(betax) ...

    Text Solution

    |

  4. A body of mass m is moving in a circle of radius angular velocity ome...

    Text Solution

    |

  5. Each side of a cube is measured to be 7.203 m . What is (i) the total ...

    Text Solution

    |

  6. The temperature of two bodies measured by a thermometer are t1=20^@C ...

    Text Solution

    |

  7. In an experiment the refractive index of glass was observed to be 1.45...

    Text Solution

    |

  8. Find density when a mass of 9.23 kg occupies a volume of 1.1m^3. Take ...

    Text Solution

    |

  9. Solve with due regards to significant figures 4.0 xx (10^-4) - 2.5 x...

    Text Solution

    |

  10. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

    Text Solution

    |

  11. Time period of an oscillating drop of radius r, density rho and surfac...

    Text Solution

    |

  12. A physical quantity y is given by y=(P^2Q^(3//2))/(R^4S^(1//2)) The ...

    Text Solution

    |

  13. Calculate focal length of a spherical mirror from the following observ...

    Text Solution

    |

  14. The velocity of water wave v may depend on their wavelength lambda, th...

    Text Solution

    |

  15. In an experiment of simple pendulum, time period measured was 50s for ...

    Text Solution

    |

  16. if power P and linear mass density are related as P=alpha/(beta^2+lamb...

    Text Solution

    |

  17. The kinetic energy of a particle moving along x-axis varies with the d...

    Text Solution

    |

  18. P = (nx^(y)T)/(V(0))e^(-(Mgh)/(nxT)), where n is number of moles, P is...

    Text Solution

    |