JEE Main Test 130

Result

JEE Main Test 130

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
no real solution

B
one real solution

C
more than one solution

D
none of these

Solution
Question 2
4 / -1

Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d(d < < l) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result charges approach each other with a velocity v. Then, as a function of distance x between them

A
v ∝ x ^-1

B
v ∝ x ^1/2

C
v ∝ x

D
v ∝ x ^-1/2

Solution
Question 3
4 / -1

How many times more intense is a 60 dB sound than a dB sound?

A
1000

B
2

C
100

D
4

Solution
Question 4
4 / -1

sech^-1 (sin θ) is equal to

A
log tan θ/2

B
log sin θ/2

C
log cos θ/2

D
log cot θ/2

Solution
Question 5
4 / -1

A battery of emf E has an internal resistance r. A variable resistance R is connected to the terminals of the battery. A current i is drawn from the battery. V is the terminal potential difference. If R alone is gradually reduced to zero, which of the following best describes i and V?

A
i approaches zero, V approaches E

B

C

D
i approaches infinity, V approaches E

Solution
Question 6
4 / -1

A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

A
400%

B
66.6%

C
33.3%

D
200%

Solution
Question 7
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 8
4 / -1

The number of turns in primary and secondary coils of a transformer is 50 and 200, respectively. If the current in the primary coil is 4 A, then the current in the secondary coil is

A
1 A

B
2 A

C
4 A

D
5 A

Solution
Question 9
4 / -1

Which types of losses do not occur in the transformer ?

A
Iron losses

B
Copper losses

C
Mechanical losses

D
Flux leakage

Solution

Iron losses:- In actual iron cores, inspite of lamination, eddy currents are produced. The magnitude of eddy current may be small and a part of energy is lost as the heat produced in an iron core.

Copper losses:- In practice the coils of the transformer posses resistance. So, a part of energy is lost due to the heat produced in resistance of coil.

Flux Leakage:- The coupling between the coils is seldom perfect. So, whole of the magnetic flux produced by the primary coil is not linked up with secondary coil.
Question 10
4 / -1

A circular coil of radius R = 10 cm having 500 turns and total resistance 2 Ω is placed initially perpendicular to the earth's magnetic field of 3 × 10^-5 T. The coil is rotated about its vertical diameter by an angle 2π in 0.5 . The induced current in the coil is

A
0.5 mA

B
1.0 mA

C
1.5 mA

D
3.0 mA

Solution