1
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :

A
[ML$$-$$1T$$-$$1]
B
[ML$$-$$1T$$-$$2]
C
[ML2T$$-$$1]
D
[M$$-$$1L3T0]
2
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1

A silver wire has a mass (0.6 $$\pm$$ 0.006) g, radius (0.5 $$\pm$$ 0.005) mm and length (4 $$\pm$$ 0.04) cm. The maximum percentage error in the measurement of its density will be :

A
4%
B
3%
C
6%
D
7%
3
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1

The dimension of mutual inductance is :

A
$$[M{L^2}{T^{ - 2}}{A^{ - 1}}]$$
B
$$[M{L^2}{T^{ - 3}}{A^{ - 1}}]$$
C
$$[M{L^2}{T^{ - 2}}{A^{ - 2}}]$$
D
$$[M{L^2}{T^{ - 3}}{A^{ - 2}}]$$
4
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

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]
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