Physics

# Dimensions of ohm are same as:

$\dfrac { h }{ e^{2} }$

##### SOLUTION
$ohm=ML^{2}I^{-2}T^{-3}$
$h=M^{1}L^{2}T^{-1}$
$e=IT$

$\dfrac{h}{e}=\dfrac{M^{1}L^{2}T^{-1}}{IT}=M^{1}L^{2}I^{-1}T^{-2}$

$\dfrac{h^{2}}{e}=M^{2}L^{4}T^{-1}I^{-1}$

$\dfrac{h}{e^{2}}=M^{1}L^{2}T^{-3}I^{-2}$

$\dfrac{h^{2}}{e^{2}}=M^{2}L^{4}T^{-4}I^{2}$

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 Single Correct Medium
p represents radiation pressure, c represents  speed of light and S represents radiation energy striking unit area per sec. The non zero integers x, y, z such that $P ^ { x } S ^ { y } c ^ { z }$  is dimensionless are
• A. $x = 0 , y = 0 , z = 0$
• B. $x = - 1 , y = 1 , z = 1$
• C. $x = 1 , y = - 1 , z = 1$
• D. $x = 1 , y ^ { - 1 } , z = - 1$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
Hydrostatic pressure $P$ varies with displacement '$x$' as $p=\dfrac { A }{ B } log\left( { Bx }^{ 2 }+c \right)$ where $A, B$ and $C$ are constants. The dimensional formula for '$A$' is:
• A. $M^{ 1 }{ L }^{ -1 }{ T }^{ -2 }$
• B. $ML{ T }^{ -2 }$
• C. ${ML }^{ -2 }{ T }^{ -2 }$
• D. ${ML }^{ -3 }{ T }^{ -2 }$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
Which one of the following is not measured in the units of energy?
• A. (Couple)$\times$ (angle turned through)
• B. Moment of inertia$\times$ (angular velocity) $^{ 2 }$
• C. Force$\times$ Distance
• D. Impulse$\times$Time

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
The frequency ($n$) of a tuning fork depends upon the length ($L$) of its prongs, the density ($d$) and Young's modulus ($Y$) of its material. It is given as $n\propto L^{a}d^{b}Y^{c}$. The values of $a, b$ and $c$ are :
• A. 1, 1/2, -1/2
• B. -1, - 1/2, 1/2
• C. 1/2, -1, -1/2
• D. 1/2, -1/2, 1

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
Which of the following unit is not a fundamental unit:
• A. Meter
• B. Litre
• C. Second
• D. Kilogram

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020