JEE Main Test 77

Result

JEE Main Test 77

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Three capacitors 3µF, 6 µF and 6 µF are connected in series to a source of 120 V. The potential difference, in volt, across the 3µF capacitor will be

A
24

B
30

C
40

D
60

Solution
Question 2
4 / -1

An ammeter and a voltmeter of resistance R are connected in series to an electric cell of negligible internal rsistance. Their reading are A and V respectively. If another resistance R is connected in parallel with the voltmeter, then

A
both A and V increase

B
both A and V will decrease

C
A will decrease and V will increase

D
A will increase and V will decrease

Solution

The resistance is connected in parallel with the voltmeter. The Effective resistance decreases.

R = V/I.

With increase in resistance, current will decreases and vice versa.

Therefore both Ammeter and voltmeter reading increases.
Question 3
4 / -1

The neutral point on potentiometer's scale for two cells of emf 2.1 and E volt is observed at distances 40 cm and 56 cm respectively. The value of E is

A
2.10 V

B
2.94 V

C
1.50 V

D
1.20 V

Solution
Question 4
4 / -1

A
2 CV²

B
1/4 CV²

C
3/4 CV²

D
1/2 CV²

Solution
Question 5
4 / -1

If in a ∆ABC , a = 6 cm , b = 8 cm , c = 10 cm, then the value of sin 2A is

A
6/25

B
8/25

C
10/25

D
24/25

Solution
Question 6
4 / -1

If the lines x + 3y - 9 = 0, 4x + by - 2 = 0 and 2x - y - 4 = 0 are concurrent, then b is equal to

A
-5

B
5

C
1

D
0

Solution
Question 7
4 / -1

A current of 5 A is flowing at 220 V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200 V and 50% of power is lost, then the current in secondary will be

A
2.5 A

B
5 A

C
0.25 A

D
0.5 A

Solution
Question 8
4 / -1

Two parallel rails of a railways track insulated from each other and with the ground are connected to a millivoltmeter. The distance between the rails is 1 m A train is travelling with a velocity of 72 km-h^-1 along the track. The reading of the millivoltmeter (in mV) is (Vertical component of the earth's magnetic induction is 2 × 10^-5 T)

A
1.44

B
0.72

C
0.4

D
0.2

Solution
Question 9
4 / -1

Three solenoid coils of same dimension, same number of turns and same number of layers of winding are taken. Coil 1 with inductance L₁ was wound using a Mn wire of resistance 11 Ωm^-1, coil 2 with inductance L₂ was wound using the similar wire but the direction of winding was reversed in each layer, coil 3 with inductance L₃ was wound using a superconducting wire. The self inductance of the coils L₁, L₂ and L₃ are

A
L₁ = L₂ = L₃

B
L₁ = L₂ , L₃ = 0

C
L₁ = L₃, L₂ = 0

D
L₁ > L₂ > L₃

Solution
Question 10
4 / -1

If the equation λx² + (2λ - 3)y² - 4x - 1 = 0 represents a circle, then its radius is

A
√11/3

B
√13/3

C
√7/3

D
1/3

Solution