1
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 10th January Evening Slot

The actual value of resistance R, shown in the figure is 30$$\Omega $$. This is measuered in an experiment as shown using the standard formula R = $${V \over {\rm I}}$$, where V and I are the readings of the voltmeter and ammeter, respectively. If the measured value of R is 5% less, then the internal resistance of the voltmeter is -

A
570 $$\Omega $$
B
600 $$\Omega $$
C
350 $$\Omega $$
D
35 $$\Omega $$

Explanation

0.95 R = $${{R{R_v}} \over {R + {R_v}}}$$

0.95 $$ \times $$ 30 = 0.05 Rv

Rv = 19 $$ \times $$ 30 = 570 $$\Omega $$
2
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :
A
240 W
B
60 W
C
30 W
D
120 W

Explanation

In series condition, equivalent resistance is 2R

thus power consumed is 60W = $${{{\varepsilon ^2}} \over {2R}}$$

In parallel condition, equivalent resistance is R/2 thus new power is

P' = $${{{\varepsilon ^2}} \over {\left( {R/2} \right)}}$$

or   P' = 4P = 240W
3
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

In the figure shown below, the charge on the left plate of the 10$$\mu $$F capacitor is –30$$\mu $$C. The charge on the right plate of the 6 $$\mu $$F capacitor is :

A
+ 12 $$\mu $$C
B
+ 18 $$\mu $$C
C
$$-$$ 18 $$\mu $$C
D
$$-$$ 12 $$\mu $$C

Explanation


6$$\mu $$F & 4$$\mu $$F are in parallel & total charge on this combination is 30 $$\mu $$C

$$ \therefore $$  Charge on 6$$\mu $$F capacitor = $${6 \over {6 + 4}} \times 30$$

= 18 $$\mu $$C

Since charge is asked on right plate therefore is +18$$\mu $$C
4
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

The given graph shows variation (with distance r form centre) of :

A
Electric field of a uniformly charged sphere
B
Electric field of a uniformly charged spherical shell
C
Potential of a uniformly charged sphere
D
Potential of a uniformly charged spherical shell

Explanation

As the field inside the uniformly charged hollow sphere or spherical shell is zero, so the potential inside it is constant, whereas outside it varies inversely with distance.

Questions Asked from Current Electricity

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