Recent questions tagged dimensional-formulae-and-analysis

The dimensional method cannot be used to obtain the dependence of which of the following?

asked Jul 12, 2014 by balaji.thirumalai

1 answer

The velocity v of a particle at time t is given by $v=a+ bt+\large\frac{c}{t+d}$ where a, b, c and d are constants. The dimensions of a, b c and d are respectively

asked Jul 11, 2014 by balaji.thirumalai

1 answer

Given that the pressure $p$ at a depth $h$ below the surface of a fluid of density $\rho$ is given by $p = \rho gh$, where $g$ is the acceleration due to gravity, which of the following represent the dimensions of pressure?

asked Jul 11, 2014 by balaji.thirumalai

1 answer

Which of the following is a good predictor of a period $\text{t}$ of a swinging pendulum based on the factors such as Length (l), Angle ($\theta$), the mass (m) and acceleration due to gravity (g)?

asked Jul 11, 2014 by balaji.thirumalai

1 answer

If E is the electric field intensity and $ \mu_0$ is the permeability of free space, then the quantity $\large\frac{E^2}{\mu_0}$ has the dimensions of

asked Jul 10, 2014 by balaji.thirumalai

1 answer

Suppose we are told that the acceleration $A$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is proportional to some power of r, say $r^n$, and some power of v, say $v^m$. Which of the following is the simplest form of an equation for the acceleration?

asked Mar 23, 2014 by balaji.thirumalai

1 answer

If the unit of force and length each increased by 4 times , then the unit of energy is increased by

asked Jul 18, 2013 by meena.p

1 answer

The dimensions of electrical resistance is

asked Jun 19, 2013 by meena.p

1 answer

Find the dimension of physical quantity $X$ in the equation $Force=\large\frac{X}{Density}$

asked Jun 19, 2013 by meena.p

2 answers

The kinetic energy of rotation k depends on angular momentum J and moment of inertia I.The expression for kinetic energy is ( where c is a constant )

asked Jun 18, 2013 by meena.p

1 answer

Dimensional analysis of equation (velocity)$^x$=(pressure difference)$^{\Large\frac{3}{2}}$(density)$^{\Large\frac{-3}{2}}$ give values of $x$ to be

asked Jun 18, 2013 by meena.p

1 answer

If pressure $P$, velocity $V$ and $T$ are taken as fundamental physical quantities the dimensional formula of force is

asked Jun 18, 2013 by meena.p

1 answer

Of the following quantities which one has dimensions different from the remaining three ?

asked Jun 18, 2013 by meena.p

1 answer

The dimensions of $RC$ is same as that of

asked Jun 18, 2013 by meena.p

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$ML^{-1}T^{-2}$ represents

asked Jun 18, 2013 by meena.p

1 answer

If $h$ - is plank constant,e charge then dimension of ohm is same as

asked Jun 18, 2013 by meena.p

1 answer

If $m$ is mass, $'Q'$ is charge and $B$ is magnetic induction $\large\frac{m}{BQ}$ has same dimension as

asked Jun 18, 2013 by meena.p

1 answer

If fundamental units of mass, length and time are each doubled, what happens to unit of energy

asked Jun 18, 2013 by meena.p

1 answer

A gas bubble from under water explosion oscillates with time period $T$ propotional to $P^xd^yE^z$ where $P$-pressure, $d$-density, $E$-energy, values of $x,y,z$ are

asked Jun 18, 2013 by meena.p

1 answer

The physical quantity not having the same dimensions are

asked Jun 17, 2013 by meena.p

1 answer

Dimensionless quantity

asked Jun 17, 2013 by meena.p

1 answer

The dimensions of $RC$, where $R$ is resistence and $C$ is capacitance are same as that of

asked Jun 17, 2013 by meena.p

1 answer

The dimensions of $CV^2$ match with the dimensions of

asked Jun 17, 2013 by meena.p

1 answer

Dimensional formula for the product of two physical quantities $P$ and $Q$ is $ ML^2T^{-2}$. The dimensional formula for $\large \frac{P}{Q}$ is $ML^0T^{-2}$. $P$ and $Q$ are

asked Jun 17, 2013 by meena.p

1 answer

Dimensional formula for $\large\frac{L}{RCV}$ is

asked Jun 17, 2013 by meena.p

1 answer

The quantity represented by $\large\frac{\text{mass} \times \text{pressure}}{\text{density}}$ is

asked Jun 17, 2013 by meena.p

1 answer

An athletic coach told his team that muscle times speed is equal to power. What dimension does he view for muscle ?

asked Jun 17, 2013 by meena.p

1 answer

Suppose we are told that the acceleration $A$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is proportional to some power of r, say $r^n$, and some power of v, say $v^m$. Which of the following is the simplest form of an equation for the acceleration?

asked Jun 17, 2013 by meena.p

1 answer

The position $x$ of a particle at time $t$ is given by $x=\large\frac{v_0}{a} $$(1-e^{-at})$ where $v_0$ is constant and $a >0$ find the dimensions of $v_0$ and $a$

asked Jun 17, 2013 by meena.p

1 answer

$\mu$ and $\in _0$ denote the permeability and permitting of free space, the dimensions of $\mu_0\in _0$ are

asked Jun 17, 2013 by meena.p

1 answer

In a certain system, $1$ unit of time is $5\;sec,$ 1 unit of mass is $20 \;kg$ and 1 unit of length is $10 m$. In this system $1$ unit of power corresponds to

asked Jun 16, 2013 by meena.p

1 answer

$E,m,J$ and $ G$ denote energy,mass angular momentum and gravitational constant respectively then the dimension of $\large\frac{EJ^2}{m^5G^2}$ are

asked Jun 16, 2013 by meena.p

1 answer

Identify the pair whose dimensions are equal

asked Jun 16, 2013 by meena.p

1 answer

If force, acceleration and time are taken as fundamental qualities, then the dimension of length will be

asked Jun 15, 2013 by meena.p

1 answer

If $C$ is capacity and $V$ is the potential across the condenser, what will be the dimensional representation of $\large\frac{1}{2}$$CV^2$

asked Jun 15, 2013 by meena.p

1 answer

The equation of state of some gases can be expressed as $ \bigg(p+\large\frac{a}{v^2}\bigg)$$(v-b)=RT$ Here $p$ is pressure, $v$ is volume , $a,b,R$ are constants. The dimensions of $ 'a'$ are

asked Jun 13, 2013 by meena.p

1 answer

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