1
JEE Advanced 2020 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density 800 kg m−3 is added to the left arm until its length is 0.1 m, as shown in the schematic figure below. The ratio $$\left( {{{{h_1}} \over {{h_2}}}} \right)$$ of the heights of the liquid in the two arms is : JEE Advanced 2020 Paper 1 Offline Physics - Properties of Matter Question 34 English
A
$${{15} \over {14}}$$
B
$${{35} \over {33}}$$
C
$${7 \over 6}$$
D
$${5 \over 4}$$
2
JEE Advanced 2020 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle’s orbit is denoted by R and its speed and energy are denoted by v and E, respectively, then for the nth orbit (here h is the Planck’s constant)
A
$$R \propto {n^{{1 \over 3}}}$$ and $$v \propto {n^{{2 \over 3}}}$$
B
$$R \propto {n^{{2 \over 3}}}$$ and $$v \propto {n^{{1 \over 3}}}$$
C
$$E = {3 \over 2}{\left( {{{{n^2}{h^2}{F^2}} \over {4{\pi ^2}m}}} \right)^{{1 \over 3}}}$$
D
$$E = 2{\left( {{{{n^2}{h^2}{F^2}} \over {4{\pi ^2}m}}} \right)^{{1 \over 3}}}$$
3
JEE Advanced 2020 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows: [position] = [X$$\alpha $$]; [speed] = [X$$\beta $$ ]; [acceleration] = [Xp]; [linear momentum] = [Xq]; [force] = [Xr]. Then
A
$$\alpha $$ + p = 2$$\beta $$
B
p + q - r = $$\beta $$
C
p - q + r = $$\alpha $$
D
p + q + r = $$\beta $$
4
JEE Advanced 2020 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
Change Language
A uniform electric field, $$\overrightarrow E = - 400\sqrt 3 \widehat y$$ NC−1 is applied in a region. A charged particle of mass m carrying positive charge q is projected in this region with an initial speed of 2$$\sqrt {10} $$ $$ \times $$ 106 ms−1 . This particle is aimed to hit a target T, which is 5 m away from its entry point into the field as shown schematically in the figure.
Take $${q \over m}$$ = 1010 Ckg−1 . Then JEE Advanced 2020 Paper 1 Offline Physics - Electrostatics Question 42 English
A
the particle will hit T if projected at an angle 45o from the horizontal
B
the particle will hit T if projected either at an angle 30o or 60o from the horizontal
C
time taken by the particle to hit T could be $$\sqrt {{5 \over 6}} $$ $$\mu $$s as well as $$\sqrt {{5 \over 2}} $$ $$\mu $$s
D
time taken by the particle to hit T is $$\sqrt {{5 \over 3}} $$ $$\mu $$s
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