JEE Main Test 28

Result

JEE Main Test 28

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Weekly Quiz Competition

Question 1
4 / -1

The phase difference between the alternating current and emf is π/2. Which of the following cannot be the constituent of the circuit?

A
C alone

B
R.L

C
L. C

D
L alone

Solution

0 < phase difference for R-L circuit < π/2
Hence, option B is correct.
Question 2
4 / -1

Which of the following statements in relation to the hydrogen atom is correct?

A
3s orbital is lower in energy than 3p orbital

B
3p orbital is lower in energy than 3d orbital

C
3s and 3p orbitals are of lower energy than 3d orbital

D
3s, 3p and 3d orbitals all have the same energy

Solution

H atom is a unielectron system and the energy of orbitals depends only upon the value of n.
Hence, option D is correct.
Question 3
4 / -1

Lattice energy of an ionic compounds depends upon

A
Charge on the ion only

B
Size of the ion only

C
Packing of ions only

D
Charge on the ion and size of the ion

Solution

Lattice energy of an ionic compounds depends upon Charge on the ion and size of the ion.
Hence, option D is correct.
Question 4
4 / -1

If a circle passes through the point (a, b) and cuts the circle x² + y² = p²orthogonally, then the equation of the locus of its centre is

A
x² + y² – 3ax – 4by + (a² + b² – p²) = 0

B
2ax + 2by – (a² – b² + p²) = 0

C
x² + y² – 2ax – 3by + (a² – b² – p²) = 0

D
2ax + 2by – (a² + b² + p²) = 0

Solution

Let the centre be (α,β)
It cut the circle x² + y² = p² orthogonally
2(-α) × 0 + 2(-β) × 0 = c₁ – p²
c₁ = p²
Let equation of circle is x² + y² - 2αx - 2βy + p² = 0
It pass through (a, b)
a² + b² - 2αa - 2βb + p² = 0
Locus
∴ 2ax + 2by – (a² + b² + p²) = 0
Hence, option D is correct.