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Units And Measurement

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MEDIUMneet

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where $X = \frac{A ^{2} B ^{1 / 2}}{C ^{1 / 3} D ^{3}}$ , will be

$(\frac{3}{1 3}) %$

$16 %$

$- 10 %$

$10 %$

View Answer

HARDneet

Planck's constant ( $h$ ), speed of light in vacuum ( $c$ ) and Newton's gravitational constant ( $G$ ) are three fundamental constants. Which of the following combinations of these has the dimension of length?

$\frac{G c}{h ^{3 / 2}}$

$\frac{h G}{c ^{3 / 2}}$

$\frac{h G}{c ^{5 / 2}}$

$\frac{h c}{G}$

View Answer

MEDIUMneet

Taking into account of the significant figures, what is the value of $9.99 m - 0.0099 m$ ?

$9.98 m$

$9.980 m$

$9.9801 m$

View Answer

MEDIUMneet

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :

mgR

2 mgR

$\frac{1}{2} m g R$

$\frac{3}{2} m g R$

View Answer

MEDIUMneet

A physical quantity of the dimensions of mass that can be formed out of $c$ , $G$ and $\frac{e ^{2}}{8 π ε _{0}}$ is $c$ is velocity of light, $G$ is universal constant of gravitation and $e$ is charge, $ε_{0}$ is electrical permittivity ):

$c [G \frac{e ^{2}}{8 π ε _{0}}]^{\frac{1}{2}}$

$c^{0} [\frac{G e ^{2}}{8 π ε _{0}}]^{2}$

$c [\frac{e ^{2}}{G 8 π ε _{0}}]^{\frac{1}{2}}$

$c^{0} [\frac{G e ^{2}}{8 π ε _{0}}]^{\frac{1}{2}}$

View Answer

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X=C1/3D3A2B1/2​, will be

(133​)%

16%

−10%

10%

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?

h3/2Gc​​

c3/2hG​​

c5/2hG​​

Ghc​​

Taking into account of the significant figures, what is the value of 9.99m−0.0099m?

9.98m

9.980m

9.980m

9.9801m

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :

mgR

2 mgR

21​mgR

23​mgR

A physical quantity of the dimensions of mass that can be formed out of c, G and 8πε0​e2​ is c is velocity of light, G is universal constant of gravitation and e is charge, ε0​ is electrical permittivity ):

c[G8πε0​e2​]21​

c0[8πε0​Ge2​]2

c[G8πε0​e2​]21​

c0[8πε0​Ge2​]21​

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where $X = \frac{A ^{2} B ^{1 / 2}}{C ^{1 / 3} D ^{3}}$ , will be

$(\frac{3}{1 3}) %$

$16 %$

$- 10 %$

$10 %$

Planck's constant ( $h$ ), speed of light in vacuum ( $c$ ) and Newton's gravitational constant ( $G$ ) are three fundamental constants. Which of the following combinations of these has the dimension of length?

$\frac{G c}{h ^{3 / 2}}$

$\frac{h G}{c ^{3 / 2}}$

$\frac{h G}{c ^{5 / 2}}$

$\frac{h c}{G}$

Taking into account of the significant figures, what is the value of $9.99 m - 0.0099 m$ ?

$9.98 m$

$9.980 m$

$9.980 m$

$9.9801 m$

$\frac{1}{2} m g R$

$\frac{3}{2} m g R$

A physical quantity of the dimensions of mass that can be formed out of $c$ , $G$ and $\frac{e ^{2}}{8 π ε _{0}}$ is $c$ is velocity of light, $G$ is universal constant of gravitation and $e$ is charge, $ε_{0}$ is electrical permittivity ):

$c [G \frac{e ^{2}}{8 π ε _{0}}]^{\frac{1}{2}}$

$c^{0} [\frac{G e ^{2}}{8 π ε _{0}}]^{2}$

$c [\frac{e ^{2}}{G 8 π ε _{0}}]^{\frac{1}{2}}$

$c^{0} [\frac{G e ^{2}}{8 π ε _{0}}]^{\frac{1}{2}}$