1
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
$${{\Delta A} \over A} + {{\Delta B} \over B} - {{\Delta C} \over C}$$
2
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
3
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
4
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A student determined Young's Modulus of elasticity using the formula $$Y = {{Mg{L^3}} \over {4b{d^3}\delta }}$$. The value of g is taken to be 9.8 m/s2, without any significant error, his observation are as following.

Physical
Quantity
Least count of the
Equipment used
for measurement

Observed value
Mass (M) 1 g 2 kg
Length of bar (L) 1 mm 1 m
Breadth of bar (b) 0.1 mm 4 cm
Thickness of bar (d) 0.01 mm 0.4 cm
Depression ($$\delta $$) 0.01 mm 5 mm

Then the fractional error in the measurement of Y is :
A
0.0083
B
0.0155
C
0.155
D
0.083
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