Recent questions in Units and Measurement

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

The length of string of a simple pendulum as measured by a meter scale was found to be $98.2 \;cm$ The diameter of the bob was measured by a vernier caliper and it was found to be $3.62\;cm$ The time for 10 oscillations was found to be $21.2\; s$ Suggest method to improve the accuracy of the result.

asked Jul 11, 2014 by meena.p

1 answer

The length of string of a simple pendulum as measured by a meter scale was found to be $98.2 \;cm$ The diameter of the bob was measured by a vernier caliper and it was found to be $3.62\;cm$ The time for 10 oscillations was found to be $21.2\; s$ . To get more accurate value of g , will more accurate measurement of bob will help ?

asked Jul 11, 2014 by meena.p

1 answer

The length of string of a simple pendulum as measured by a meter scale was found to be 98.2cm. The diameter of the bob was measured by a vernier caliper and it was found to be 3.62cm. The time for 10 oscillations was found to be 21.2 seconds. What is maximum error in the value of g?

asked Jul 11, 2014 by meena.p

1 answer

The length of string of a simple pendulum as measured by a meter scale was found to be $98.2 \;cm$ The diameter of the bob was measured by a vernier caliper and it was found to be $3.62\;cm$ The time for 10 oscillations was found to be 21.2 s What is the effective length of the pendulum

asked Jul 11, 2014 by meena.p

1 answer

While measuring the volume of sphere an error of $1.2 \%$ is committed in the measurement of radius. What percentage error is introduced in the measurement of volume ?

asked Jul 11, 2014 by meena.p

1 answer

The length and breadth of a rectangular area are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the percentage error in the area .

asked Jul 11, 2014 by meena.p

1 answer

The initial and final temperature of water in a container are observed as $15 \pm 0.5^{C}$ and $40 \pm 0.2 ^{\circ}$ what is the rise in temperature ?

asked Jul 11, 2014 by meena.p

1 answer

Two resistances $R_1=50 \pm 1\;ohm$ and $R_2=100 \pm 3\;ohm$ are connected in series. Assuming the errors to be limiting error , find the equivalent resistance with error.

asked Jul 11, 2014 by meena.p

1 answer

The distance of a point p from a point source of light $S_1$ is $100. 1243\;cm$ and from another point source $S_2$ is $100.1664\;cm$ Find $(S_2P-S_1P)$ and $(S_2P +S_1P)$ correct upto the same number of significant figures.

asked Jul 11, 2014 by meena.p

1 answer

Find the number of significant figures in the mass difference between a proton and a neutron. Given that mass of a proton $= 1.672649 \times 10^{27}$ mass of a neutron $= 1.674954 \times 10^{-27} kg$

asked Jul 11, 2014 by meena.p

1 answer

Find the value of the following expression : $\large\frac{5.3 \times 10^4 }{3.3 \times 10^{-2}} +$$ \sqrt { 1.6 \times 10^{12}}$

asked Jul 11, 2014 by meena.p

1 answer

If the volume of $1.32 \;kg$ of an iron ball is $0.17\;m^3$ find the density.

asked Jul 11, 2014 by meena.p

1 answer

What is the total length of a line where different segments measure $8.26\;cm,2.3\;cm,2.89\;cm$ and $7.762\;cm?$

asked Jul 11, 2014 by meena.p

1 answer

$ 0.000070 kg$ of ink is filled in a fountain pen of mass $0.0152 kg$ . What is the total mass of filled fountain pen ?

asked Jul 10, 2014 by meena.p

1 answer

What is the value of parallactic seconds (parsec) in S.I units?

asked Jul 10, 2014 by meena.p

1 answer

What is the value of a light year in SI Units?

asked Jul 10, 2014 by meena.p

1 answer

The time period of a sample pendulum is to be determined with the help of a stop clock having a least count of $ \large\frac{1}{3}$ seconds. If the estimated time period is about 2 second time for how many oscillations must be recorded so that the periodic time is determined with an error less than $0.67%$

asked Jul 10, 2014 by meena.p

1 answer

The measured mass and volume of a bosy are $2.42\; g$ and $4.8\; cm^3$ respectively. With possible errors 0.01 g and $0.1 cm^3$ the maximum error in density is about

asked Jul 10, 2014 by meena.p

1 answer

A cube is of edge $1.2 \times 10^{-2} m$. The volume of cube is

asked Jul 10, 2014 by meena.p

1 answer

What is the perimeter and area of a rectangle whose length is $6.01$ m and width is $1.2 m$

asked Jul 10, 2014 by meena.p

1 answer

If the unit of length is x metres in a new system of units (x > 1) then the numerical value of area in the new system of units will be how many times its numerical value in S. I?

asked Jul 10, 2014 by meena.p

1 answer

Parsec is a unit of

asked Jul 10, 2014 by meena.p

1 answer

A fermi is equivalent to

asked Jul 10, 2014 by meena.p

1 answer

Which of the following is not a unit of time

asked Jul 10, 2014 by meena.p

1 answer

The dimensional formula of magnetic flux is:

asked Jul 10, 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

Light -year is a unit of

asked Jul 10, 2014 by meena.p

1 answer

One micron is equal to

asked Jul 10, 2014 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 Mar 23, 2014 by balaji.thirumalai

1 answer

A physical quantity $P$ is related to four observables $a,b,c$ and $d$ as follows $P=\large\frac{\large a^3b^2}{(\sqrt {cd})}$. The percentage error in measuring $a,b,c,d$ are $1 \%,3 \%,4 \%$ and $2 \%$ respectively. What is percentage error in calculation of $P$

asked Mar 23, 2014 by balaji.thirumalai

1 answer

Value of acceleration due to gravity is $ 9.8 m/s^2$. Find its value in $km/hr^2$

asked Jun 19, 2013 by meena.p

1 answer

Resistance of metal is given by $R=\large\frac{V}{I}$. $V$ is potential difference, $I$ is current. In a circuit $V=(8 \pm 0.5)v$ and current is $I=(2 \pm 0.2)A$. what is value of resistance with percentage error?

asked Jun 19, 2013 by meena.p

1 answer

The dimensions of electrical resistance is

asked Jun 19, 2013 by meena.p

1 answer

The laser light beamed towards moon from earth takes $2.56s$ to return after reflection at moon's surface. How much is the radius of lunar orbit around earth?

asked Jun 19, 2013 by meena.p

1 answer

To find the value of $g$ using simple pendulum $T=2.00 sec,\;l=50cm.$ was measured. The maximum possible errors in $g$ is (Error in $T$=0.01 sec,$l$=0.1 cm)

asked Jun 19, 2013 by meena.p

1 answer

Heat generated in a circuit is given by $H=I^2Rt$, $I$ is current $R$ is resistance, $t$ is time. If percentage error in measuring $I$, $R$ and $t$ are $2 \%,1\%$ and $1\%$ respectively. what is the maximum error in measuring heat

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 following equation describe the motion of object where $x$ is displacement, $v,v_0$ are velocities, $m$ mass $V=Axe^{Bm}-\large\frac{c^2}{v^0}$. What must be the unit of $A$ and $B$?

asked Jun 18, 2013 by meena.p

1 answer

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

Curie is a unit of

asked Jun 18, 2013 by meena.p

1 answer

In an experiment the angles are measured using an instrument where $29$ divisions of main scale exactly coincide with $30$ division of vernier scale.If the smallest division in main scale is half a degree, then the least count of the instrument is

asked Jun 18, 2013 by meena.p

1 answer

The caesium clock are capable of measuring time with an accuracy of $1$ part in $10^{11}$. If two such clock run for $100$ years, find the difference in time shown by the clock

asked Jun 18, 2013 by meena.p

1 answer

The volume of a cube is $1.83 \;cm^3$. Find the volume of $25$ such identical cubes to correct number of significant figures.

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

Energy density and pressure have

asked Jun 18, 2013 by meena.p

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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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