1
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
The number of solutions of the equation

$$|\cot x| = \cot x + {1 \over {\sin x}}$$ in the interval [ 0, 2$$\pi$$ ] is
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2
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
An oil drop of radius 2 mm with a density 3g cm$$-$$3 is held stationary under a constant electric field 3.55 $$\times$$ 105 V m$$-$$1 in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will possess? (consider g = 9.81 m/s2)
A
48.8 $$\times$$ 1011
B
1.73 $$\times$$ 1010
C
17.3 $$\times$$ 1010
D
1.73 $$\times$$ 1012
3
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Match List - I with List - II.

List - I

(a) 10 km height over earth's surface

(b) 70 km height over earth's surface

(c) 180 km height over earth's surface

(d) 270 km height over earth's surface

List - II

(i) Thermosphere

(ii) Mesosphere

(iii) Stratosphere

(iv) Troposphere
A
(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
B
(a)-(i), (b)-(iv), (c)-(iii), (d)-(ii)
C
(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
D
(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
4
JEE Main 2021 (Online) 18th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Imagine that the electron in a hydrogen atom is replaced by a muon ($$\mu$$). The mass of muon particle is 207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be :
A
13.6 eV
B
2815.2 eV
C
331.2 eV
D
27.2 eV
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