Tag: measurements and experimentation

Questions Related to measurements and experimentation

Which one of the following is not a unit of British system of units?

  1. Foot

  2. Metre

  3. Pound

  4. Second


Correct Option: B
Explanation:

Among the given units metre is not a unit of British system whereas all other units belong to this system.

The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pair(s).

  1. Torque and work

  2. Angular momentum and work

  3. Energy and Young's modulus

  4. Light year and wavelength


Correct Option: A,D
Explanation:

Torque$={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$

Work$={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$
angular momentum(L)=${ M }^{ 1 }{ L }^{ 2 }{ T }^{ -1 }$
Energy$={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$
Young's Modulus $(Y)$$={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }$
Light year$=L$
Wavelength$=L$

1 Me V$=$

  1. $1.6\times 10^{-12} Joules$

  2. $1.6\times 10^{-10} Joules$

  3. $1.6\times 10^{-13} Joules$

  4. $1.6\times 10^{-11} Joules$


Correct Option: A

As compared to cumulative average-time learning model, learning model which predicts more cumulative total time to produce more units is known as ____________.

  1. incremental unit time learning model

  2. incremental price learning model

  3. incremental unit average model

  4. incremental cost learning model


Correct Option: A

The unit of universal gas constant is

  1. ${Dymes}/{C}$

  2. $Ergs$ ${cm}/{mole} K$

  3. ${Watt}/{K}$

  4. ${Joule}/{mole} K$


Correct Option: D
Explanation:

Gas equation,
$PV=nRT$

$R=\dfrac{PV}{nT}$

$[R]=\left[ \dfrac{PV}{nT}\right]$

$[R]=\dfrac{Joule}{mole \ K}$

Option D

The SI unit of amplitude of oscillation is

  1. cm

  2. m

  3. km

  4. none of these


Correct Option: B
Explanation:

SI unit of amplitude of oscillation is metre  $(m)$

The wavelength of light is expressed in

  1. Metre

  2. Micron

  3. Light year

  4. Angstrom


Correct Option: D
Explanation:

Angstrom $(\dot A)$ unit of length used chiefly in measuring wavelengths of light, equal to $10^{-10}$ metre, or $0.1$ nanometer.  It is used to express wavelengths of visible light, ultraviolet (UV) light, X rays, and gamma rays.

State whether given statement is True or False.
The SI unit of mass is milligram.

  1. True

  2. False


Correct Option: B
Explanation:

SI unit of mass is kilogram i.e.  $Kg$.
Thus the above statement is false.

If the displacement, velocity and acceleration of a particle at time t be x, v and f respectively, then which one is true?

  1. $f=v^3\dfrac{d^2t}{dx^2}$

  2. $f=-v^3\dfrac{d^2t}{dx^2}$

  3. $f=v^2\dfrac{d^2t}{dx^2}$

  4. $f=-v^2\dfrac{d^2t}{dx^2}$


Correct Option: B
Explanation:

We know that the velocity can be written as:
$v=\dfrac{dx}{dt}$

Therefore, $\dfrac1v=\dfrac{dt}{dx}$

Now, expressing $f$ in terms of velocity.

$\dfrac{d^2t}{dx^2}=\dfrac{d\begin{pmatrix}\dfrac{dt}{dx}\end{pmatrix}}{dx}=\dfrac{d\begin{pmatrix}\frac{1}{v}\end{pmatrix}}{dx}=-\dfrac{1}{v^2}\dfrac{dv}{dt}\times\dfrac{1}{v}$
$\Rightarrow\;f=-v^3\dfrac{d^2t}{dx^2}$


A __________ unit does not change with respect to space and time.

  1. derived

  2. standard

  3. regular

  4. large


Correct Option: B
Explanation:

A unit is said to be a standard unit of does not change with respect to space and time.