1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5mm is noticed on the pitch scale. The nature of zero error involved and the least count of the screw gauge, are respectively :
A
Positive, 0.1 mm
B
Positive, 0.1 $$\mu$$m
C
Positive, 10 $$\mu$$m
D
Negative, 2 $$\mu$$m
2
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are
defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and $${{\varepsilon _0}}$$, $${{\mu _0}}$$, - free space permittivity and permeability respectively. Then :
A
Only y and z have the same dimension
B
x, y and z have the same dimension
C
Only x and y have the same dimension
D
Only x and z have the same dimension
3
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
A physical quantity z depends on four observables
a, b, c and d, as z = $${{{a^2}{b^{{2 \over 3}}}} \over {\sqrt c {d^3}}}$$. The percentages of error in the measurement of a, b, c and d are 2%, 1.5%, 4% and 2.5% respectively. The percentage of error in z is :
A
13.5 %
B
14.5%
C
16.5%
D
12.25%
4
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
A quantity x is given by $$\left( {{{IF{v^2}} \over {W{L^4}}}} \right)$$ in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of :
A
Coefficient of viscosity
B
Force constant
C
Energy density
D
Planck's constant
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