1
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

Identify the pair of physical quantities that have same dimensions:

A
B
Wien's constant and Stefan constant
C
angular frequency and angular momentum
D
2
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

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
3
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
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
4
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will be :
A
[FT$$-$$1 V$$-$$1]
B
[FTV$$-$$1]
C
[FT2 V]
D
[FVT$$-$$1]
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