JEE Advanced Mix Test 68

Result

JEE Advanced Mix Test 68

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Weekly Quiz Competition

Question 1
4 / -1

In the circuit shown C₁ = 2C₂. Switch S is closed at time t = 0. Let i₁ & i₂be the current flowing through C₁and C₂ at any time t, then the ratio I₁/I₂

A
is constant

B
increases with increase in time t

C
decreases with increase in time t

D
first increases then decreases

Solution
Question 2
4 / -1

The capacitor of an oscillatory circuit of frequency 10⁴Hz is enclosed in a container. When the container is evacuated, the frequency changes by 50 Hz, the dielectric constant of the gas is

A
1.1

B
1.01

C
1.001

D
1.0001

Solution
Question 3
4 / -1

A current carrying wire is placed in the grooves of an insulating semicircular disc of radius ‘R’ as shown. The current enters atpoint A and leaves point B. Determine the magnetic field at point D.

A

B

C

D
None

Solution
Question 4
4 / -1

The organ pipes, both closed at one end, have lengths ℓ and ( ℓ + Δ ℓ) vibrates in fundamental mode. Neglect end correction. If the velocity of sound in air is v, then the number of beats/sec is (assume Δ ℓ << ℓ)

A

B

C

D

Solution
Question 5
4 / -1

A
D is an organometalic compound

B
D is an optically inactive compound

C
EAN of Fe+2 in D is 34

D
All C – C bonds in D are of identical length

Solution
Question 6
4 / -1

Which one of the following reaction is not possible:-

A

B

C

D

Solution
Question 7
4 / -1

(I) Co(CO)₆

(II) Co(CO)₅NH₃

(III) Co(CO)₄(NH₃)₂

(IV) Co(CO)₃(NH₃)₃

(V) Co(CO)₂(NH₃)₄

(VI) Co(CO)(NH₃)₅

Which statement is correct for these compounds?

A
order of Co – C bond length in complexes is I > II > III > IV > V > VI

B
order of Co – C bond length in complexes is VI > V > IV > III > II > I

C
order of Co – C bond strength in complexes is I = II = III = IV = V = VI

D
order of C – O bond length in complexes is I = II = III = IV = V = VI

Solution

Synergic bonding.
Question 8
4 / -1

A
G is an optically inactive compound

B
H is an optically inactive compound and have all C – C bond of equal length

C
F and D both have equal no of π-bond

D
H is 3-methylnaphthalene

Solution
Question 9
4 / -1

A

B

C

D
None of these

Solution
Question 10
4 / -1

If a bag contains five balls. Two balls are drawn and are found to be white. What is the probabilitythat all the balls are white?

A
1/4

B
1/3

C
1/2

D
2/3

Solution

Here two balls are drawn and the result is known that the two balls are white, therefore Bayes’s theorem should be used.

Required probability