JEE Main 2022 (Online) 27th June Morning Shift | Units & Measurements Question 73 | Physics

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 :

JEE Main 2022 (Online) 26th June Evening Shift

MCQ (Single Correct Answer)

-1

The dimension of mutual inductance is :

$$[M{L^2}{T^{ - 2}}{A^{ - 1}}]$$

$$[M{L^2}{T^{ - 3}}{A^{ - 1}}]$$

$$[M{L^2}{T^{ - 2}}{A^{ - 2}}]$$

$$[M{L^2}{T^{ - 3}}{A^{ - 2}}]$$

JEE Main 2022 (Online) 26th June Morning Shift

MCQ (Single Correct Answer)

-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 :

[M⁰ L^$$-$$1 T⁰]

[M L⁰ T^$$-$$2]

[M L T^$$-$$2]

[M L² T^$$-$$2]

JEE Main 2022 (Online) 25th June Morning Shift

MCQ (Single Correct Answer)

-1

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

$${{\Delta A} \over A} + {{\Delta B} \over B} + {{\Delta C} \over C}$$

$${{2\Delta A} \over A} + {{3\Delta B} \over B} - {{4\Delta C} \over C}$$

$${{2\Delta A} \over A} + {{3\Delta B} \over B} + {{4\Delta C} \over C}$$

$${{\Delta A} \over A} + {{\Delta B} \over B} - {{\Delta C} \over C}$$