1
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

An expression for a dimensionless quantity P is given by $$P = {\alpha \over \beta }{\log _e}\left( {{{kt} \over {\beta x}}} \right)$$; where $$\alpha$$ and $$\beta$$ are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of $$\alpha$$ will be :

A
[M0 L$$-$$1 T0]
B
[M L0 T$$-$$2]
C
[M L T$$-$$2]
D
[M L2 T$$-$$2]
2
JEE Main 2022 (Online) 25th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :

A
$${{\Delta A} \over A} + {{\Delta B} \over B} + {{\Delta C} \over C}$$
B
$${{2\Delta A} \over A} + {{3\Delta B} \over B} - {{4\Delta C} \over C}$$
C
$${{2\Delta A} \over A} + {{3\Delta B} \over B} + {{4\Delta C} \over C}$$
D
$${{\Delta A} \over A} + {{\Delta B} \over B} - {{\Delta C} \over C}$$
3
JEE Main 2022 (Online) 24th June Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Identify the pair of physical quantities that have same dimensions:

A
velocity gradient and decay constant
B
Wien's constant and Stefan constant
C
angular frequency and angular momentum
D
wave number and Avogadro number
4
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Identify the pair of physical quantities which have different dimensions:

A
Wave number and Rydberg's constant
B
Stress and Coefficient of elasticity
C
Coercivity and Magnetisation
D
Specific heat capacity and Latent heat
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