JEE Main Test 68

Result

JEE Main Test 68

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The resistance of a wire at 300 K is found to be 0.3 Ω. . If the temperature coefficient of resistance of wire is 1.5 × 10^-3 K^-1, the temperature at which the resistance becomes 0.6 Ω is

A
720 K

B
345 K

C
993 K

D
690 K

Solution
Question 2
4 / -1

An electric charge 10^-3 μC is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at (√2, √2) and (2, 0) respectively. The potential difference between the points A and B will be

A
9 V

B
zero

C
2 V

D
4.5 V

Solution
Question 3
4 / -1

Five resistance are connected as shown in the figure. The equivalent resistance between P and Q will be

A

B

C

D
None of these

Solution
Question 4
4 / -1

A
5

B
4

C
12

D
11

Solution
Question 5
4 / -1

A capacitor of capacitance 1µF . is filled with two dielectrics of dielectric constants 4 and 6. What is the new capacitance?

A
10 µF

B
5 µF

C
4 µF

D
7 µF

Solution
Question 6
4 / -1

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A,B and C respectively, then the value of the expression (a/c) sin 2C + (c/a) sin 2A is

A
1/2

B
√3/2

C
1

D
√3

Solution
Question 7
4 / -1

A current passing through a coil of self inductance of 2 mH changes at the rate of 20 mAs^-1 . The emf induced in the coil is

A
10 µV

B
40 µV

C
10 mV

D
40 mV

Solution
Question 8
4 / -1

Two similar circular loops carry equal currents in the same direction. On moving coils further apart, the electric current will

A
increase in both

B
decrease in both

C
remain unaltered

D
increases in one and decreases in the second

Solution
Question 9
4 / -1

The energy stored in an inductor of self inductance L henry carrying a current of 1 A is

A
L² I

B
-LI²

C

D

Solution

The workdone is stored as the magnetic potential energy of that inductor.Thus, U = 1/2 LI²
Question 10
4 / -1

Compute the shortest distance between the circle x² + y² - 10x - 14y - 151 = 0 and the point (-7, 2).

A
0

B
1

C
2

D
4

Solution