Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.

11501.

A particle executes simple harmonic motion (amplitude = A) between \[x=-A\] and \[x=+A\]. The time taken for it to go from 0 to A/2 is \[{{T}_{1}}\] and to go from A/2 to A is \[{{T}_{2}}\]. Then [IIT-JEE (Screening) 2001]

A. \[{{T}_{1}}<{{T}_{2}}\]
B. \[{{T}_{1}}>{{T}_{2}}\]
C. \[{{T}_{1}}={{T}_{2}}\]
D. \[{{T}_{1}}=2{{T}_{2}}\]
Answer» B. \[{{T}_{1}}>{{T}_{2}}\]
11502.

The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. Its total energy will be [RPMT 2004]

A. \[\frac{E}{2}\]
B. \[\frac{3}{4}E\]
C. \[\frac{9}{16}E\]
D. None of these
Answer» D. None of these
11503.

A simple pendulum has time period T1. The point of suspension is now moved upward according to equation \[y=k{{t}^{2}}\] where\[k=1\,m/se{{c}^{2}}\]. If new time period is T2 then ratio \[\frac{T_{1}^{2}}{T_{2}^{2}}\] will be [IIT-JEE (Screening) 2005]

A. 2/3
B. 5/6
C. 6/5
D. 3/2
Answer» D. 3/2
11504.

The function \[{{\sin }^{2}}(\omega t)\]represents [AIEEE 2005]

A. A simple harmonic motion with a period \[2\pi /\omega \]
B. A simple harmonic motion with a period \[\pi /\omega \]
C. A periodic but not simple harmonic motion with a period \[2\pi /\omega \]
D. A periodic but not simple harmonic, motion with a period \[\pi /\omega \]
Answer» E.
11505.

Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by \[{{45}^{o}}\], then [IIT JEE 1999]

A. The resultant amplitude is \[(1+\sqrt{2)}a\]
B. The phase of the resultant motion relative to the first is 90°
C. The energy associated with the resulting motion is \[(3+2\sqrt{2)}\] times the energy associated with any single motion
D. The resulting motion is not simple harmonic
Answer» B. The phase of the resultant motion relative to the first is 90°
11506.

The equation of S.H.M. is \[y=a\sin (2\pi nt+\alpha )\], then its phase at time t is [DPMT 2001]

A. \[2\pi nt\]
B. \[\alpha \]
C. \[2\pi nt+\alpha \]
D. \[2\pi t\]
Answer» D. \[2\pi t\]
11507.

In a triode, \[{{g}_{m}}=2\times {{10}^{-3}}oh{{m}^{-1}};\,\mu =42\], resistance load, \[R=50\] kilo ohm. The voltage amplification obtained from this triode will be [MNR 1999]

A. 30.42
B. 29.57
C. 28.18
D. 27.15
Answer» C. 28.18
11508.

The current in a triode at anode potential 100 V and grid potential ? 1.2 V is 7.5 mA. If grid potential is changed to ? 2.2 V, the current becomes 5.5 mA. the value of trans conductance (gm) will be [RPMT 2003]

A. 2 mili mho
B. 3 mili mho
C. 4 mili mho
D. 0.2 mili mho
Answer» B. 3 mili mho
11509.

The slope of plate characteristic of a vacuum diode is \[2\times {{10}^{-2}}\,mA/V.\] The plate resistance of diode will be [RPMT 1999]

A. 50 W
B. 50 kW
C. 500 kW
D. 500 kW
Answer» C. 500 kW
11510.

Which of the following does not vary with plate or grid voltages [BHU (Med.) 1999]

A. gm
B. Rp
C. m
D. Each of them varies
Answer» E.
11511.

Correct relation for triode is [RPMT 2000]

A. \[\mu ={{g}_{m}}\times {{r}_{p}}\]
B. \[\mu =\frac{{{g}_{m}}}{{{r}_{p}}}\]
C. \[\mu =2{{g}_{m}}\times {{r}_{p}}\]
D. None of these
Answer» B. \[\mu =\frac{{{g}_{m}}}{{{r}_{p}}}\]
11512.

Select the correct statements from the following [IIT-JEE 1984]

A. A diode can be used as a rectifier
B. A triode cannot be used as a rectifier
C. The current in a diode is always proportional to the applied voltage
D. The linear portion of the I?V characteristic of a triode is used for amplification without distortion
Answer» E.
11513.

A triode has a mutual conductance of \[2\times {{10}^{-3}}mho\] and an amplification factor of 50. The anode is connected through a resistance of \[25\times {{10}^{3}}\] ohms to a 250 volts supply. The voltage gain of this amplifier is [MP PMT 1989]

A. 50
B. 25
C. 100
D. 12.5
Answer» C. 100
11514.

The triode constant is out of the following [RPMT 1989]

A. Plate resistance
B. Amplification factor
C. Mutual conductance
D. All the above
Answer» E.
11515.

In a triode valve [MP PET 1992]

A. If the grid voltage is zero then plate current will be zero
B. If the temperature of filament is doubled, then the thermionic current will also be doubled
C. If the temperature of filament is doubled, then the thermionic current will nearly be four times
D. At a definite grid voltage the plate current varies with plate voltage according to Ohm?s law
Answer» D. At a definite grid voltage the plate current varies with plate voltage according to Ohm?s law
11516.

The amplification produced by a triode is due to the action of [AFMC 1994]

A. Filament
B. Cathode
C. Grid
D. Plate
Answer» D. Plate
11517.

Thermionic emission from a heated filament varies with its temperature T as [CBSE PMT 1990; RPMT 2000; CPMT 2002]

A. \[{{T}^{-1}}\]
B. \[T\]
C. \[{{T}^{2}}\]
D. \[{{T}^{3/2}}\]
Answer» D. \[{{T}^{3/2}}\]
11518.

The nearest distance between two atoms in case of a bcc lattice is equal to [J & K CET 2004]

A. \[a\frac{\sqrt{2}}{3}\]
B. \[a\frac{\sqrt{3}}{2}\]
C. \[q\sqrt{3}\]
D. \[\frac{a}{\sqrt{2}}\]
Answer» C. \[q\sqrt{3}\]
11519.

The energy band diagrams for three semiconductor samples of silicon are as shown. We can then assert that [Haryana CEE 1996]

A. Sample X is undoped while samples Y and Z have been doped with a third group and a fifth group impurity respectively
B. Sample X is undoped while both samples Y and Z have been doped with a fifth group impurity
C. Sample X has been doped with equal amounts of third and fifth group impurities while samples Y and Z are undoped
D. Sample X is undoped while samples Y and Z have been doped with a fifth group and a third group impurity respectively
Answer» E.
11520.

In a P-type semi-conductor, germanium is dopped with [MH CET 2003]

A. Gallium
B. Boron
C. Aluminium
D. All of these
Answer» E.
11521.

The valence of the impurity atom that is to be added to germanium crystal so as to make it a N-type semiconductor, is [MNR 1993; MP PET 1994; CBSE PMT 1999; AIIMS 2000]

A. 6
B. 5
C. 4
D. 3
Answer» C. 4
11522.

When phosphorus and antimony are mixed in zermaniun, then [CPMT 2003]

A. P-type semiconductor is formed
B. N-type semiconductor is formed
C. Both (a) and (b)
D. None of these
Answer» C. Both (a) and (b)
11523.

Resistance of semiconductor at \[0{}^\circ K\] is [RPET 1997]

A. Zero
B. Infinite
C. Large
D. Small
Answer» C. Large
11524.

For germanium crystal, the forbidden energy gap in joules is [MP PET 2000]

A. \[1.12\times {{10}^{-19}}\]
B. \[1.76\times {{10}^{-19}}\]
C. \[1.6\times {{10}^{-19}}\]
D. Zero
Answer» B. \[1.76\times {{10}^{-19}}\]
11525.

Energy bands in solids are a consequence of [DCE 1999, 2000; AIEEE 2004]

A. Ohm?s Law
B. Pauli?s exclusion principle
C. Bohr?s theory
D. Heisenberg?s uncertainty principle
Answer» C. Bohr?s theory
11526.

A hole in a P-type semiconductor is [MP PET 1996]

A. An excess electron
B. A missing electron
C. A missing atom
D. A donor level
Answer» C. A missing atom
11527.

(USS 133) Indium impurity in germanium makes [EAMCET (Engg.) 1995]

A. N-type
B. P-type
C. Insulator
D. Intrinsic
Answer» C. Insulator
11528.

The forbidden energy band gap in conductors, semiconductors and insulators are \[E{{G}_{1}},\,E{{G}_{2}}\]and \[E{{G}_{3}}\] respectively. The relation among them is [MP PMT 1994; RPMT 1997]

A. \[E{{G}_{1}}=E{{G}_{2}}=E{{G}_{3}}\]
B. \[E{{G}_{1}}<E{{G}_{2}}<E{{G}_{3}}\]
C. \[E{{G}_{1}}>E{{G}_{2}}>E{{G}_{3}}\]
D. \[E{{G}_{1}}<E{{G}_{2}}>E{{G}_{3}}\]
Answer» C. \[E{{G}_{1}}>E{{G}_{2}}>E{{G}_{3}}\]
11529.

Three semi-conductors are arranged in the increasing order of their energy gap as follows. The correct arrangement is [MP PMT 1993]

A. Tellurium, germanium, silicon
B. Tellurium, silicon, germanium
C. Silicon, germanium, tellurium
D. Silicon, tellurium, germanium
Answer» B. Tellurium, silicon, germanium
11530.

Let \[{{n}_{P}}\] and \[{{n}_{e}}\] be the number of holes and conduction electrons respectively in a semiconductor. Then [MP PET 1995]

A. \[{{n}_{P}}>{{n}_{e}}\]in an intrinsic semiconductor
B. \[{{n}_{P}}={{n}_{e}}\]in an extrinsic semiconductor
C. \[{{n}_{P}}={{n}_{e}}\]in an intrinsic semiconductor
D. \[{{n}_{e}}>{{n}_{P}}\]in an intrinsic semiconductor
Answer» D. \[{{n}_{e}}>{{n}_{P}}\]in an intrinsic semiconductor
11531.

The majority charge carriers in P-type semiconductor are [MP PMT 1999; CBSE PMT 1999; MP PET 1991; MP PET/PMT 1998; MH CET 2003]

A. Electrons
B. Protons
C. Holes
D. Neutrons
Answer» D. Neutrons
11532.

In the diagram, the input is across the terminals A and C and the output is across the terminals B and D, then the output is [CBSE PMT 1994]

A. Zero
B. Same as input
C. Full wave rectifier
D. Half wave rectifier
Answer» D. Half wave rectifier
11533.

Zener diode is used as [CBSE PMT 1999]

A. Half wave rectifier
B. Full wave rectifier
C. ac voltage stabilizer
D. dc voltage stabilizer
Answer» D. dc voltage stabilizer
11534.

Consider the following statements A and B and identify the correct choice of the given answers A zener diode is always connected in reverse bias The potential barrier of a PN junction lies between 0.1 to 0.3 V approximately [EAMCET 2000]

A. A and B are correct
B. A and B are wrong
C. A is correct but B is wrong
D. A is wrong but B is correct
Answer» D. A is wrong but B is correct
11535.

In order to forward bias a PN junction, the negative terminal of battery is connected to [RPMT 2003]

A. P?side
B. Either P?side or N?side
C. N?side
D. None of these
Answer» D. None of these
11536.

In a PN junction photo cell, the value of photo-electromotive force produced by monochromatic light is proportional to [CBSE PMT 2004]

A. The voltage applied at the PN junction
B. The barrier voltage at the PN junction
C. The intensity of the light falling on the cell
D. The frequency of the light falling on the cell
Answer» D. The frequency of the light falling on the cell
11537.

If no external voltage is applied across P-N junction, there would be [Orissa JEE 2002]

A. No electric field across the junction
B. An electric field pointing from N-type to P-type side across the junction
C. An electric field pointing from P-type to N-type side across the junction
D. A temporary electric field during formation of P-N junction that would subsequently disappear
Answer» C. An electric field pointing from P-type to N-type side across the junction
11538.

PN-junction diode works as a insulator, if connected [CPMT 1987]

A. To A.C.
B. In forward bias
C. In reverse bias
D. None of these
Answer» D. None of these
11539.

In the given figure, which of the diodes are forward biased? [Kerala PET 2002] 1. 2. 3. 4. 5.

A. 1, 2, 3
B. 2, 4, 5
C. 1, 3, 4
D. 2, 3, 4
Answer» C. 1, 3, 4
11540.

Zener breakdown in a semi-conductor diode occurs when [UPSEAT 2002]

A. Forward current exceeds certain value
B. Reverse bias exceeds certain value
C. Forward bias exceeds certain value
D. Potential barrier is reduced to zero
Answer» C. Forward bias exceeds certain value
11541.

The resistance of a reverse biased P-N junction diode is about [MP PMT 2000]

A. 1 ohm
B. \[{{10}^{2}}\]ohm
C. \[{{10}^{3}}\]ohm
D. \[{{10}^{6}}\]ohm
Answer» E.
11542.

Which of the following statements is not true [IIT-JEE 1997 Re-Exam]

A. The resistance of intrinsic semiconductors decrease with increase of temperature
B. Doping pure \[Si\]with trivalent impurities give P-type semiconductors
C. The majority carriers in N-type semiconductors are holes
D. A PN-junction can act as a semiconductor diode
Answer» D. A PN-junction can act as a semiconductor diode
11543.

The approximate ratio of resistances in the forward and reverse bias of the PN-junction diode is [MP PET 2000; MP PMT 1999, 2002, 03; Pb. PMT 2003]

A. \[{{10}^{2}}:1\]
B. \[{{10}^{-2}}:1\]
C. \[1:{{10}^{-4}}\]
D. \[1:{{10}^{4}}\]
Answer» E.
11544.

The output of an OR gate is connected to both the inputs of a NAND gate. The combination will serve as a:

A. NOT gate
B. NOR gate
C. AND gate
D. OR gate
Answer» C. AND gate
11545.

The figure shows a logic circuit with two inputs A and B and the output C. The voltage wave forms across A, B and C are as given. The logic gate circuit is:

A. OR gate
B. NOR gate
C. AND gate
D. NAND gate
Answer» B. NOR gate
11546.

The current gain in transistor in common base mode is\[0.99\]. To change the emitter current by \[5\,mA,\] the necessary change in collector will be

A. \[0.196\,mA\]
B. \[2.45\,mA\]
C. \[4.95\,mA\]
D. \[5.1mA\]
Answer» D. \[5.1mA\]
11547.

In common emitter amplifier the \[\frac{{{I}_{c}}}{{{I}_{e}}}\] is\[0.98\]. The current gain will be

A. \[4.9\]
B. \[7.8\]
C. \[49\]
D. \[78\]
Answer» D. \[78\]
11548.

The transfer ratio \[\beta \] of a transistor is 50. The input resistance of the transistor when used in the common emitter configuration is 1 kn. The peak value of the collector A.C. current for an A.C. input voltage of \[0.01\text{ }V\] peak is

A. \[100\,\mu A\]
B. \[0.01\,mA\]
C. \[0.25\,mA\]
D. \[500\,\mu A\]
Answer» E.
11549.

The ratio of work function and temperature of two emitters are \[1:2,\] then the ratio of current densities obtained by them will be

A. \[4:1\]
B. \[2:1\]
C. \[1:2\]
D. \[1:4\]
Answer» E.
11550.

In a npn transistor \[{{10}^{10}}\] electrons enter the emitter in\[{{10}^{-6}}s.\] \[4%\] of the electrons are lost in the base. The current transfer ratio will be

A. \[0.98\]
B. \[0.97\]
C. \[0.96\]
D. \[0.94\]
Answer» D. \[0.94\]