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All questions of October Week 3 for NEET Exam

In an inductance the current
  • a)
    is in phase
  • b)
    leads the voltage
  • c)
    lags the voltage
  • d)
    builds very fast
Correct answer is option 'C'. Can you explain this answer?

Krishna Iyer answered
In an inductor, current lags behind the input voltage by a phase difference of π/2.
Current and voltage are in the same phase in the resistor whereas current leads the voltage by π/2 in a capacitor.
So, the circuit must contain an inductor only.

The current amplitude in a pure inductor in a radio receiver is to be 250 μA when the voltage amplitude is 3.60 V at a frequency of 1.60 MHz (at the upper end of the AM broadcast band). If the voltage amplitude is kept constant, what will be the current amplitude through this inductor at 16.0 MHz?
  • a)
    20.0 μA
  • b)
    33.0 μA
  • c)
    .35.0 μA
  • d)
    25.0 μA
Correct answer is option 'D'. Can you explain this answer?

Preeti Khanna answered
I0=250μA, v0=3.6v .  v=1.6x106 Hz
Here,
(Reactance of inductance) XL=ωL
XL=2πv X L
v0/I0=2πv x L
3.6/2.5x10-4=2πx1.6x10-6 x L
0.14x104-6=L
L=0.14x10-2H
Now for v=16.0x106Hz
XL=2πv X L
=2πx16x106x14x10-4
XL=1407x102Ω
Now,
v0=I0 x XL
3.6/1407x102=I0   [∵v0=kept constant.]
I0=0.00256x10-2
I0=25.6μA

A hair dryer meant for 110V 60Hz is to be used in India . If 220 V is the supply voltage in India , the turns ratio for a transformer would be
  • a)
    step-down 2.5:1
  • b)
    step-up 1:2
  • c)
    step-down 3:1
  • d)
    step-down 2:1
Correct answer is option 'D'. Can you explain this answer?

Suresh Iyer answered
Here Vp=220V Vs=110V
As we know the relation between V and n,
As,
Ve/Vs=np/ns ->220/110
Np/ns=2/1=2:1
Therefore, no. of turns in primary is greater than no. of turns in secondary,
Hence, it is a step-down transformer.

By studying analogous structures we look for ______.
  • a)
    Similarities in appearance but differences in functions
  • b)
    Similarities in appearance and function but different in structure
  • c)
    Similarities in organ structure
  • d)
    Similarities in cell make up
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
Analogous organs are those organs which have the same function but are quite different in their fundamental structure and embryonic origin. For example, the wing of an insect and the wing of a bird are analogous organs. Both these organs are used for flying in the air but they re very different in structure. An insect wing is an extension of the integument whereas a bird wing is formed of limb bones covered with flesh, skin, and feathers. Each has evolved from a separate ancestral population as a means of a more efficient mode of locomotion. Similarity developed in distantly related groups as an adaptation for the same function is called analogy or convergent evolution.
Thus, the correct answer is option B. 

A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 μF. Power dissipated in the circuit; and the power factor are
  • a)
    4000 W, 0.4
  • b)
    4800 W, 0.6
  • c)
    4400 W, 0.6
  • d)
    3800 W, 0.6
Correct answer is option 'B'. Can you explain this answer?

Nandini Iyer answered
Angular frequency of the ac signal w=2πν
∴ w=2π(50)=100π
Capacitive reactance Xc​=1/wC​
∴ Xc​=1/(100π×786×10−6)​=4Ω
Inductive reactance XL​=wL
∴ XL​=100π×(25.48×10−3)=8Ω
Impedance of the circuit Z=√[R2+(XL​−Xc​)2​]
∴ Z=√[32+(8−4)2​]=5Ω
 Phase difference ϕ=tan−1[(XL​−Xc​​)R]
Or ϕ=tan−1((8−4​)/3)=tan−1(4/3​)
⟹ ϕ=53.13o
Power factor cosϕ=cos53.13o=0.6
Power dissipated in the circuit
P=Iv2R
Now, Iv=I0/√2=E0/√2Z=283/(1.414×5)=40A
∴P=Iv2R=(40)2×3=4800 watt

A light bulb is rated at 50W for a 220 V supply. The resistance of the bulb, the peak voltage of the source and the rms current through the bulb are
  • a)
    768 ΩΩ, 391 V, 0.297A
  • b)
    968 ΩΩ, 311 V, 0.227A
  • c)
    468 ΩΩ, 411 V, 0.267A
  • d)
    968 ΩΩ, 350 V, 0.327A
Correct answer is option 'B'. Can you explain this answer?

Harsh Desai answered
The power rating of a light bulb is given as 50W, and it is connected to a 220V supply. We need to determine the resistance of the bulb, the peak voltage of the source, and the rms current through the bulb.

To find the resistance of the bulb, we can use the formula:

Resistance (R) = (Voltage (V))^2 / Power (P)

Substituting the given values:

R = (220V)^2 / 50W
R = 48400V^2 / 50W
R = 968Ω

Therefore, the resistance of the bulb is 968Ω.

To find the peak voltage of the source, we know that the peak voltage is equal to the root mean square (rms) voltage multiplied by the square root of 2. So, we can calculate the peak voltage using the formula:

Peak Voltage (Vp) = rms Voltage (Vrms) * √2

Substituting the given value:

Vp = 220V * √2
Vp = 220V * 1.414
Vp = 391V

Therefore, the peak voltage of the source is 391V.

Lastly, to find the rms current through the bulb, we can use the formula:

Power (P) = (Current (I))^2 * Resistance (R)

Substituting the given values:

50W = (I)^2 * 968Ω

Rearranging the equation, we get:

(I)^2 = 50W / 968Ω
(I)^2 = 0.0516A^2

Taking the square root of both sides, we find:

I = √0.0516A^2
I = 0.227A

Therefore, the rms current through the bulb is 0.227A.

In summary, the resistance of the bulb is 968Ω, the peak voltage of the source is 391V, and the rms current through the bulb is 0.227A. Thus, option B is the correct answer.

You have a special light bulb with a very delicate wire filament. The wire will break if the current in it ever exceeds 1.50 A, even for an instant. What is the largest root-mean-square current you can run through this bulb?
  • a)
    1.46 A
  • b)
    1.06 A
  • c)
    1.26 A
  • d)
    1.56 A
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
Given,
We are given the current I=1.5Am where the wire will break.
We are asked to determine the root mean square of the current Irms. The maximum current here represents the current that just after it the wire will break. The maximum value of the current is the amplitude of the current wave and it should be larger than the root mean square of the current. Using equation, we can get the Irms in the form,
Irms = Imax/√2
The term, 1/√2, times any factor represents the root mean square of this factor, Now, plug the value for Imax into equation 1 and get Irms
Irms=Imax/√2
     =1.5A/√2
     =1.06A.

In the free oscillations of an LC circuit, the sum of energies stored in the capacitor and the inductor.
  • a)
    varies cubically with time
  • b)
    varies linearly with time
  • c)
    varies as square of time
  • d)
    is constant in time
Correct answer is option 'D'. Can you explain this answer?

Om Desai answered
At any time, t
energy stored in capacitor, EC=q2/2C
Total energy stored in C and L at any time t
E=EC+EL
E=(q2/2C)+(LI2/2)
If q=q0sinωt
I=dq/dt=q0cosωtω=ωq0cosωt
Put in (i), E=[(q0sinωt)2/2C] + L(ωq0cosωt)2/2
E=(q02/2C) sin2ωt+(q02/2)cos2ωt.ω2L
But ω2=12/LC
∴E=(q02/2C) sin2ωt+(q02/2) (L/LC) cos2ωt
=q02/2C(sin2ωt+cos2ωt)
=q02/2C= constant in time.
 

For a series LCR circuit the input impedance at resonance
a)equals the resistanceωL
b)equals the resistance R
c)equals the resistance1/ωC
d)equals the resistanceR+jωL
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
Resonance occurs when XL = XC and the imaginary part of the transfer function is zero. At resonance the impedance of the circuit is equal to the resistance value as Z = R.

You have a 200.0 ΩΩ resistor, a 0.400-H inductor, 5.0 μF a capacitor, and a variable frequency ac source with an amplitude of 3.00 V. You connect all four elements together to form a series circuit. Current amplitude at an angular frequency of 400 rad/s is
  • a)
    7.61mA
  • b)
    8.61mA
  • c)
    7.91mA
  • d)
    8.91mA
Correct answer is option 'A'. Can you explain this answer?

Gaurav Kumar answered
Given,
The resistance is R=200ohm the inductor is L=0.4 H, the capacitance is C=5  µF and the amplitude voltage is V=CV
The frequency depends on the inductance and the capacitance and it is given by,
f0=1/ (2π√(LC))  (1)
So, plug the values of L and C into equation 1 to get f0
f0=1/ (2π√(LC))=2/(2π√[0.4H)(5x10-6)]=113Hz
 
The inductance reactance of the coil and could be calculated by,
XL=ωL
Plug the values for L and ω to get XL
XL= ωL=2π(113Hz)(0.4)=160ohm
 To get the capacitive reactance we use the formula,
XC=1/ωC
Now, we plus the values for ω and C to get XC
XC=1/ ωC=1/2π(113Hz)(5x10-6)=500ohm
We use the inductor, the resistor and the capacitor, so the impedance of the circuit is given by the equation,
Z=√(R2+(XL-XC)2 )  (2)
Now, we use the values for XR,XL and R into equation (2) to get Z
Z= √ (R2+(XL-XC)2 )
   =√ ((200Ω)2+(160Ω-500Ω)2 )
   =394.5Ω
The impedance represents the total resistance in the circuit, so we can use the value in Ohm’s law to get the current amplitude I in the circuit,
I=V/Z
So, plus the values of V and Z to get I,
I=V/Z=3V/394.5Ω=0.0076A=7.61mA

A lamp is connected in series with a capacitor and connected to an AC source. As the capacitance value is decreased.
  • a)
    The lamp glows dimmer and dimmer
  • b)
    The lamp does not glow
  • c)
    The lamp glows brighter
  • d)
    The lamp starts turning on and off
Correct answer is option 'A'. Can you explain this answer?

Anjali Sharma answered
When frequency decreases, capacitive reactance XC​=1/2πνC​ increases and hence impedance in the circuit Z=√(R2+XC2​)​ increases and so current I=V/Z​ decreases. As a result, the brightness of the bulb is reduced.
 

Common origin of man and chimpanzee is best shown by
  • a)
    Chromosomes
  • b)
    Cranial capacity
  • c)
    Dental formula
  • d)
    Binocular vision
Correct answer is option 'A'. Can you explain this answer?

From ramapithicus to homosapiens all have 46 chromosomes except the person who suffers from down's syndrome and klintifer syndrome

Statement I: When more than one adaptive radiation appeared in isolated geographical area it called a convergent evolution.
Statement II: Bats and birds are example of adaptive radiation.
Statement III: Tiger cat, kangaroo, wombat and sugar gliders are example of Australian marsupials.
  • a)
    Statement I and II is correct
  • b)
    Statement I and III is correct
  • c)
    Statement II and III is correct
  • d)
    All statements are correct
Correct answer is option 'B'. Can you explain this answer?

Statement (1) is as it is given in Ncert , means when to adaptive radiation occurs simultaneously in an isolated geographical area it becomes convergent evolution.for eg.adaptive radiation in placental mammals divergent evolution and adaptI've radiation in marsupoals is divergent evolution , but together , it show convergent evolution
and in option (3) these all are examples of adaptive radiation in marsupials
but 2nd is wrong

Which of the following is not an example of placental mammals?
  • a)
    Mole
  • b)
    Tasmanian tiger cat
  • c)
    Mouse
  • d)
    Anteater
Correct answer is option 'B'. Can you explain this answer?

Tasmanian tiger cat belongs to Australian marsupials. The remaining options belong to placental mammals. The Tasmanian tiger cat resembles bobcat of placental mammals. They show convergent evolution.

Domestic power supply in India is
  • a)
    24 V D.C
  • b)
    220 V, 50 Hz
  • c)
    110 V, 60 Hz
  • d)
    416 V, 60 Hz
Correct answer is option 'B'. Can you explain this answer?

Shraddha Gupta answered
Explanation:The standard voltage and frequency of alternating current supply in India is set to 220 V and 50Hz respectively by the government of India becausewhen power has to be transmitted from a power plant, the biggest challenge is to cut the transmission losses. For this purpose, the current value should be small and potential difference(Voltage) should be more. Also losses are minimal at 50 Hz/60 Hz frequency.

Adaptive radiation does not confirm _______
  • a)
    Convergent evolution
  • b)
    Homology
  • c)
    Divergent evolution
  • d)
    Evolution of new forms
Correct answer is option 'A'. Can you explain this answer?

EduRev NEET answered
  • It is not adaptive radiation that confirms convergent evolution.
  • It is an adaptive convergence that confirms convergent evolution.
  • The remaining options are applicable to adaptive radiation.

You have a 200.0 ΩΩ resistor, a 0.400-H inductor, a 5.0 μF capacitor, and a variable frequency ac source with an amplitude of 3.00 V. You connect all four elements together to form a series circuit. Frequency at which current in the circuit is greatest and its amplitude are
  • a)
    143 Hz, 35mA
  • b)
    123 Hz, 15mA
  • c)
    113 Hz, 15mA
  • d)
    113 Hz, 25mA
Correct answer is option 'C'. Can you explain this answer?

The resistance is R=200ohm the inductor is L=0.4 H, the capacitance is C=5  µF and the amplitude voltage is V=CV
The frequency depends on the inductance and the capacitance and it is given by,
f0=1/ (2π√(LC))  
So, plug the values of L and C into equation 1 to get f0
f0=1/ (2π√(LC))=2/(2π√[0.4H)(5x10-6)]=113Hz
for the current, we use ohm’s law to get the current,
I=V/R
Now, plug the values for V and R to get I
I=V/R=3V/200Ω=0.015A=15mA
 

An LC circuit contains a 20 mH inductor and a 50 μF capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Natural frequency of the circuit is
  • a)
    129 Hz
  • b)
    149 Hz
  • c)
    159 Hz
  • d)
    139 Hz
Correct answer is option 'C'. Can you explain this answer?

Natural frequency of the circuit, f = 1/2π√(LC)
here, L = 20mH = 20 × 10-3 H, C = 50μF = 50 × 10-6 C
so, f = 1/2π√(20 × 10-3 × 50 × 10-6)
= 1/2π√(1000 × 10-9)
= 1/2π√(10-6)
= 1000/2π = 500/π Hz ≈ 159 Hz

Nucleophiles which have more than one type of donor atoms within the same donor group are known as ambident nucleophile e.g.
CN- : Both carbon and nitrogen are donor.
OCN- : Both oxygen and nitrogen are donor etc.
In case of free anionic and ambident nucleophiles, the better donor atom donate its lone pair of electron and forms bond with a-carbon after substitution reaction, in a given period, donor ability decreases from left to right. In a group, donor ability increases from top to bottom.
Q. 
When iodomethane is treated with sodium isocyanate (NaNCO), CH3NCO is the major product while AgNCO gives CH3CH2OCN as major product because
  • a)
    negative charge on nitrogen in NaNCO and on oxygen in AgNCO
  • b)
    negative charge on oxygen atom in both salts
  • c)
    free NCO- in case of NaNCO and covalent Ag —N bond in AgNCO
  • d)
    greater basicity of nitrogen In NaNCO and oxygen in AgNCO
Correct answer is option 'C'. Can you explain this answer?

Prateek Jain answered

Explanation:

Reason for the major product formation:
- When iodomethane reacts with sodium isocyanate (NaNCO) or silver isocyanate (AgNCO), the major product formed is CH3NCO and CH3CH2OCN respectively.
- This difference in product formation is due to the nature of the isocyanate ion (NCO-).

Explanation of option 'C':
- The major reason for the different products formed is the difference in the nature of the NCO- ion in NaNCO and AgNCO.
- In the case of NaNCO, the NCO- ion is free and has a negative charge on the nitrogen atom, making it a free anionic nucleophile.
- In the case of AgNCO, the NCO- ion forms a covalent bond with silver, which changes the nature of the nucleophile to an ambident nucleophile.
- The free NCO- ion in NaNCO has a greater tendency to donate its lone pair of electrons to the electrophile, resulting in the formation of CH3NCO as the major product.
- On the other hand, the NCO- ion in AgNCO has a covalent N bond with silver, which affects its donor ability and results in the formation of CH3CH2OCN as the major product.

Therefore, the correct explanation for the major product formation in the reaction of iodomethane with NaNCO and AgNCO lies in the difference in the nature of the NCO- ion in the two salts.

Average power supplied to a capacitor over one complete cycle
  • a)
    is always positive
  • b)
    is 1
  • c)
    is always negative
  • d)
    is zero
Correct answer is option 'D'. Can you explain this answer?

Janhavi Kaur answered
Explanation:We know that in capacitor Current leads Voltage by 90degree. Over one complete cycle, in first quarter cycle Capacitor charges and next quarter cycle it's discharge. This will continue in next negative half cycle. So the NET POWER ABSORB IS ZERO.

Which of the following gives the different substitution product with CH3CH2Br when their sodium and silver salts are used?
  • a)
    CN-
  • b)
    OCN-
  • c)
    SCN-
  • d)
Correct answer is option 'A,C'. Can you explain this answer?


Silver salts have covalent character, hence lone pair of free atom i.e. nitrogen in both cases donate lone pair. With sodium salts, nucleophiles are free ions in solution, better donor donate lone pair.

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