Physics

# From the following combination of physical constant (expressed though their usual symbols) the only combination, that would have the same value in different systems of units is:

$\dfrac{e^2}{2\pi \varepsilon_0 Gm_e^2}(m_e = mass \,of \,electron)$

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Single Correct Medium Published on 18th 08, 2020
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#### Realted Questions

Q1 Single Correct Medium
The potential energy of a particle varies with distance $x$ from fixed a origin as $U=\left( \dfrac { A\sqrt { x } }{ x+B } \right)$; where, $A$ and $B$ are constants. The dimensions of $AB$ are
• A. $\left[ M{ L }^{ { 5 }/{ 2 } }{ T }^{ -2 } \right]$
• B. $\left[ M{ L }^{ 2 }{ T }^{ -2 } \right]$
• C. $\left[ { M }^{ { 3 }/{ 2 } }{ L }^{ { 3 }/{ 2 } }{ T }^{ -2 } \right]$
• D. $\left[ M{ L }^{ { 7 }/{ 2 } }{ T }^{ -2 } \right]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
The equation of a gas is given by : $PV= AT+BT^2$, where $P=$ pressure, $V=$ volume, $T=$ temperature. The dimensions of constant B are
• A. $[ML^2T^{-4}]$
• B. $[ML^2T^{-2}\theta^{-2}]$
• C. $[ML]$
• D. $[ML^2T^{-2}]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
If $A=B+\dfrac{C}{D+E}$ the dimensions of '$B$' and '$C$' are $[LT^{-1}]$ and $[M^0LT^0]$ respectively. Find the dimensions of $A, D$ and $E$.
• A. $A=[M^0L^0T^{-1}], D=[T], E=[LT]$
• B. $A=[MLT^0], D=[T^2], E=[T^2]$
• C. $A=[LT^{-1}], D=[MT], E=[MT]$
• D. $A=[LT^{-1}], D=[T], E=[T]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
Which of the following pairs of physical quantities have same dimension$?$
• A. force and work
• B. torque and energy
• C. torque and power
• D. force and torque

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Matrix Medium
Match the following :
 Burette Relative density Pipette Desired volume of a liquid Specific gravity bottle Weight Common balance Fixed volume of a liquid Spring balance Mass

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020