1
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The mass density of a planet of radius R varies with the distance r from its centre as
$$\rho $$(r) = $${\rho _0}\left( {1 - {{{r^2}} \over {{R^2}}}} \right)$$.
Then the gravitational field is maximum at :
A
$$r = {1 \over {\sqrt 3 }}R$$
B
r = R
C
$$r = \sqrt {{3 \over 4}} R$$
D
$$r = \sqrt {{5 \over 9}} R$$
2
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The radius R of a nucleus of mass number A can be estimated by the formula
R = (1.3 $$ \times $$ 10–15)A1/3 m.
It follows that the mass density of a nucleus is of the order of :

(Mprot. $$ \cong $$ Mneut $$ \simeq $$ 1.67 $$ \times $$ 10–27 kg)
A
1024 kg m–3
B
1010 kg m–3
C
1017 kg m–3
D
103 kg m–3
3
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Two resistors 400$$\Omega $$ and 800$$\Omega $$ are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k$$\Omega $$ across 400 $$\Omega $$ resistor is close to :
A
2.05 V
B
1.95 V
C
2 V
D
1.8 V
4
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?
A
Multimeter shows NO deflection in both cases i.e. before and after reversing the probes if the chosen component is metal wire.
B
Multimeter shows a deflection, accompanied by a splash of light out of connected component in one direction and NO deflection on reversing the probes if the chosen component is LED.
C
Multimeter shows an equal deflection in both cases i.e. before and after reversing the probes if the chosen component is resistor.
D
Multimeter shows NO deflection in both cases i.e. before and after reversing the probes if the chosen component is capacitor.

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