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.

4251.

In a closed organ pipe the frequency of fundamental note is 50 Hz. The note of which of the following frequencies will not be emitted by it                                                [J & K CET 2000]

A.            50 Hz                                       
B.            100 Hz
C.            150 Hz                                     
D.            None of the above
Answer» C.            150 Hz                                     
4252.

Fundamental frequency of pipe is 100 Hz and other two frequencies are 300 Hz and 500 Hz then                                                                              [RPMT 1998, 2003; CPMT 2001]

A.            Pipe is open at both the ends
B.            Pipe is closed at both the ends
C.            One end open and another end is closed
D.            None of the above
Answer» D.            None of the above
4253.

Fundamental frequency of an open pipe of length 0.5 m is equal to the frequency of the first overtone of a closed pipe of length l. The value of lc is (m)                      [KCET 1999]

A.            1.5 
B.            0.75
C.            2    
D.            1
Answer» C.            2    
4254.

An open pipe of length l vibrates in fundamental mode. The pressure variation is maximum at                                                                               [EAMCET (Med.) 1999]

A.            1/4 from ends
B.            The middle of pipe
C.            The ends of pipe
D.            At 1/8 from ends of pipe middle of the pipe
Answer» C.            The ends of pipe
4255.

Stationary waves are set up in air column. Velocity of sound in air is 330 m/s and frequency is 165 Hz. Then distance between the nodes is   [EAMCET (Engg.) 1995; CPMT 1999]

A.            2 m
B.            1 m
C.            0.5 m                                       
D.            4 m
Answer» C.            0.5 m                                       
4256.

The stationary wave \[y=2a\sin kx\cos \omega \,t\] in a closed organ pipe is the result of the superposition of \[y=a\sin (\omega \,t-kx)\]and                                              [Roorkee 1994]

A.            \[y=-a\cos (\omega \,t+kx)\]                                           
B.            \[y=-a\sin (\omega \,t+kx)\]
C.            \[y=a\sin (\omega \,t+kx)\]  
D.            \[y=a\cos (\omega \,t+kx)\]
Answer» C.            \[y=a\sin (\omega \,t+kx)\]  
4257.

Standing stationary waves can be obtained in an air column even if the interfering waves are     [CPMT 1972]

A.            Of different pitches
B.            Of different amplitudes  
C.            Of different qualities
D.            Moving with different velocities
Answer» C.            Of different qualities
4258.

If the temperature increases, then what happens to the frequency of the sound produced by the organ pipe                                                        [RPET 1996; DPMT 2000; RPMT 2001]

A.            Increases                               
B.            Decreases
C.            Unchanged                           
D.            Not definite
Answer» B.            Decreases
4259.

Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube A and B is  [AIEEE 2002; CPMT 2004]

A.            1 : 2                                          
B.            1 : 4
C.            2 : 1                                          
D.            4 : 1
Answer» D.            4 : 1
4260.

An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental frequency of open pipe is: [UPSEAT 2001; Pb. PET 2004]

A.            480 Hz                                     
B.            300 Hz
C.            240 Hz                                     
D.            200 Hz
Answer» E.
4261.

The first overtone in a closed pipe has a frequency [JIPMER 1999]

A.            Same as the fundamental frequency of an open tube of same length
B.            Twice the fundamental frequency of an open tube of same length
C.            Same as that of the first overtone of an open tube of same length
D.            None of the above
Answer» E.
4262.

The harmonics which are present in a pipe open at one end are [UPSEAT 2000; MHCET 2004]

A.            Odd harmonics                   
B.            Even harmonics
C.            Even as well as odd harmonics
D.            None of these
Answer» B.            Even harmonics
4263.

Two open organ pipes give 4 beats/sec when sounded together in their fundamental nodes. If the length of the pipe are 100 cm and 102.5 cm respectively, then the velocity of sound is :                       [Pb. PET 2000; CPMT 2001]

A.            496 m/s                                  
B.            328 m/s
C.            240 m/s                                  
D.            160 m/s
Answer» C.            240 m/s                                  
4264.

What is minimum length of a tube, open at both ends, that resonates with tuning fork of frequency 350 Hz ? [velocity of sound in air = 350 m/s]                                          [DPMT 2004]

A.            50 cm                                      
B.            100 cm
C.            75 cm                                      
D.            25 cm
Answer» B.            100 cm
4265.

If fundamental frequency of closed pipe is 50 Hz then frequency of 2nd overtone is                                          [AFMC 2004]

A.            100 Hz                                     
B.            50 Hz
C.            250 Hz                                     
D.            150 Hz
Answer» D.            150 Hz
4266.

The frequency of fundamental tone in an open organ pipe of length 0.48 m is 320 Hz.  Speed of sound is 320 m/sec. Frequency of fundamental tone in closed organ pipe will be        [MP PMT 2003]

A.            153.8 Hz                                 
B.            160.0 Hz
C.            320.0 Hz                                 
D.            143.2 Hz
Answer» C.            320.0 Hz                                 
4267.

If v is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency n [KCET 2003]

A.            \[\frac{v}{4n}\]                   
B.            \[\frac{v}{2n}\]
C.            \[\frac{2n}{v}\]                   
D.            \[\frac{4n}{v}\]
Answer» B.            \[\frac{v}{2n}\]
4268.

Find the fundamental frequency of a closed pipe, if the length of the air column is 42 m. (speed of sound in air = 332 m/sec)                                                        [RPET 2003]

A.            2 Hz                                          
B.            4 Hz
C.            7 Hz                                          
D.            9 Hz
Answer» B.            4 Hz
4269.

An open pipe resonates with a tuning fork of frequency 500 Hz. it is observed that two successive nodes are formed at distances 16 and 46 cm from the open end. The speed of sound in air in the pipe is                                     [Orissa JEE 2003]

A.            230 m/s                                  
B.            300 m/s
C.            320 m/s                                  
D.            360 m/s
Answer» C.            320 m/s                                  
4270.

A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio [Roorkee 1999]

A.            1 : 2                                          
B.            2 : 3
C.            3 : 4                                          
D.            4 : 5
Answer» D.            4 : 5
4271.

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. What is the ratio of lengths                                                              [BHU 2003; Kerala 2005]

A.            1 : 2                                          
B.            2 : 1
C.            2 : 3                                          
D.            4 : 3
Answer» B.            2 : 1
4272.

A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude \[{{\rho }_{0}}\] inside the tube. If the atmospheric pressure is \[{{\rho }_{A}},\] then the ratio of maximum and minimum pressure at the closed end of the tube will be                                [UPSEAT 2002]

A.            \[\frac{({{\rho }_{A}}+{{\rho }_{0}})}{({{\rho }_{A}}-{{\rho }_{0}})}\]            
B.            \[\frac{({{\rho }_{A}}+2{{\rho }_{0}})}{({{\rho }_{A}}-2{{\rho }_{0}})}\]
C.            \[\frac{{{\rho }_{A}}}{{{\rho }_{A}}}\]                           
D.            \[\frac{\left( {{\rho }_{A}}+\frac{1}{2}{{\rho }_{0}} \right)}{\left( {{\rho }_{A}}-\frac{1}{2}{{\rho }_{0}} \right)}\]
Answer» B.            \[\frac{({{\rho }_{A}}+2{{\rho }_{0}})}{({{\rho }_{A}}-2{{\rho }_{0}})}\]
4273.

Two closed organ pipes, when sounded simultaneously gave 4 beats per sec. If longer pipe has a length of 1m. Then length of shorter pipe will be, (v = 300 m/s) [Pb. PMT 2002]

A.            185.5 cm                                
B.            94.9 cm
C.            90 cm                                      
D.            80 cm
Answer» C.            90 cm                                      
4274.

A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take speed of sound in air = 330 ms?1) [AMU 2002]

A.            First                                         
B.            Second
C.            Third                                        
D.            Fourth
Answer» B.            Second
4275.

If the length of a closed organ pipe is 1.5 m and velocity of sound is 330 m/s, then the frequency for the second note is                 [CBSE PMT 2002]

A.            220 Hz                                     
B.            165 Hz
C.            110 Hz                                     
D.            55 Hz
Answer» C.            110 Hz                                     
4276.

A cylindrical tube, open at both ends, has a fundamental frequency \[{{f}_{0}}\] in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is [RPET 1999; RPMT 1998, 2000; J & K CET 2000; KCET  2002; BHU 2002; BCECE 2003]

A.            \[3{{f}_{0}}/4\]                   
B.            \[{{f}_{0}}\]
C.            \[{{f}_{0}}/2\]                      
D.            \[2{{f}_{0}}\]
Answer» C.            \[{{f}_{0}}/2\]                      
4277.

If the velocity of sound in air is 336 m/s. The maximum length of a closed pipe that would produce a just audible sound will be      [KCET 2001]

A.            3.2 cm                                     
B.            4.2 m
C.            4.2 cm                                     
D.            3.2 m
Answer» C.            4.2 cm                                     
4278.

The fundamental note produced by a closed organ pipe is of frequency \[f.\] The fundamental note produced by an open organ pipe of same length will be of frequency  [BHU 2001]

A.            \[\frac{f}{2}\]                      
B.            \[f\]
C.            \[2f\]                                       
D.            \[4f\]
Answer» D.            \[4f\]
4279.

If the length of a closed organ pipe is 1m and velocity of sound is 330 m/s, then the frequency for the second note is  [AFMC 2001]

A.            \[4\times \frac{330}{4}Hz\]   
B.            \[3\times \frac{330}{4}Hz\]
C.            \[2\times \frac{330}{4}Hz\]   
D.            \[2\times \frac{4}{330}Hz\]
Answer» C.            \[2\times \frac{330}{4}Hz\]   
4280.

A tube closed at one end and containing air is excited. It produces the fundamental note of frequency 512 Hz. If the same tube is open at both the ends the fundamental frequency that can be produced is                              [RPET 1999]

A.            1024 Hz                                   
B.            512 Hz
C.            256 Hz                                     
D.            128 Hz
Answer» B.            512 Hz
4281.

The length of two open organ pipes are l and \[(l+\Delta l)\] respectively. Neglecting end correction, the frequency of beats between them will be approximately [MP PET 1994; BHU 1995]

A.            \[\frac{v}{2l}\]                     
B.            \[\frac{v}{4l}\]
C.            \[\frac{v\Delta l}{2{{l}^{2}}}\]                                           
D.            \[\frac{v\Delta l}{l}\] (Here v is the speed of sound)
Answer» D.            \[\frac{v\Delta l}{l}\] (Here v is the speed of sound)
4282.

When two deuterium nuclei fuse together to form a tritium nuclei, we get a       [EAMCET 1994; CPMT 2000]

A.            Neutron                                 
B.            Deutron
C.            \[\alpha -\]particle            
D.            Proton
Answer» E.
4283.

In nuclear fission, the fission reactions proceeds with a projectile. Which of the following suits the best [EAMCET 1994]

A.            Slow proton                         
B.            Fast neutron
C.            Slow neutron                       
D.            None of these
Answer» D.            None of these
4284.

The example of nuclear fusion is                              [KCET 1994]

A.            Formation of barium and krypton from uranium
B.            Formation of helium from hydrogen
C.            Formation of plutonium 235 from uranium 235
D.            Formation of water from hydrogen and oxygen
Answer» C.            Formation of plutonium 235 from uranium 235
4285.

Complete the equation for the following fission process \[_{92}{{U}^{235}}{{+}_{0}}{{n}^{1}}{{\to }_{38}}S{{r}^{90}}+....\]                                                              [CBSE PMT 1998]

A.            \[_{54}X{{e}^{143}}+3{{\ }_{0}}{{n}^{1}}\]                  
B.            \[_{54}X{{e}^{145}}\]
C.            \[_{57}X{{e}^{142}}\]       
D.            \[_{54}X{{e}^{142}}{{+}_{0}}{{n}^{{}}}\]
Answer» B.            \[_{54}X{{e}^{145}}\]
4286.

If 200 MeV energy is released in the fission of a single \[{{U}^{235}}\]nucleus, the number of fissions required per second to produce 1 kilowatt power shall be (Given \[1\ eV=1.6\times {{10}^{-19}}J\]) [AMU 1995; MP PMT 1999]

A.            \[3.125\times {{10}^{13}}\]   
B.            \[3.125\times {{10}^{14}}\]
C.            \[3.125\times {{10}^{15}}\]   
D.            \[3.125\times {{10}^{16}}\]
Answer» B.            \[3.125\times {{10}^{14}}\]
4287.

A chain reaction is continuous due to                   [CPMT 1999]

A.            Large mass defect
B.            Large energy
C.            Production of more neutrons in fission
D.            None of these
Answer» D.            None of these
4288.

In the nuclear reaction\[_{92}{{U}^{238}}{{\to }_{z}}T{{h}^{A}}{{+}_{2}}H{{e}^{4}}\], the values of A and Z are                                       [MP PMT 1996]

A.            A = 234, Z = 94                     
B.            A = 234, Z = 90
C.            A = 238, Z = 94                     
D.            A = 238, Z = 90
Answer» C.            A = 238, Z = 94                     
4289.

200 MeV of energy may be obtained per fission of \[{{U}^{235}}\]. A reactor is generating 1000 kW of power. The rate of nuclear fission in the reactor is         [MP PET 1995]

A.            1000                                         
B.            \[2\times {{10}^{8}}\]
C.            \[3.125\times {{10}^{16}}\]   
D.             931
Answer» D.             931
4290.

A reaction between a proton and \[_{8}{{O}^{18}}\]that produces \[_{9}{{F}^{18}}\]must also liberate                                      [Roorkee 1995]

A.            \[_{0}{{n}^{1}}\]                 
B.            \[_{1}{{e}^{0}}\]
C.            \[_{1}{{n}^{0}}\]                 
D.            \[_{0}{{e}^{1}}\]
Answer» B.            \[_{1}{{e}^{0}}\]
4291.

Size of nucleus is of the order of [CPMT 1983; MP PET 2002, 03]

A.            \[{{10}^{-10}}m\]               
B.            \[{{10}^{-15}}m\]
C.            \[{{10}^{-12}}m\]
D.            \[{{10}^{-19}}m\]
Answer» C.            \[{{10}^{-12}}m\]
4292.

 g-rays radiation can be used to create electron-positron pair. In this process of pair production, g-rays energy cannot be less than                                                    [MP PMT 1994]                            

A.            5.0 MeV                                 
B.            4.02 MeV
C.            15.0 MeV                               
D.            1.02 MeV
Answer» E.
4293.

When \[_{92}{{U}^{235}}\]undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1kg of \[_{92}{{U}^{235}}\]undergoes fission [MP PET 1994; MP PMT/PET 1998; BHU 2001;  BVP 2003]

A.            \[9\times {{10}^{10}}J\]  
B.            \[9\times {{10}^{11}}J\]
C.            \[9\times {{10}^{12}}J\]  
D.            \[9\times {{10}^{13}}J\]
Answer» E.
4294.

A nuclear bomb exploded 200 km above the surface of moon. The sound of explosion on the moon  [CPMT 1989]

A.            Will heard before the explosion is seen
B.            Will be heard at the same time
C.            Will be heard after explosion
D.            Will not heard at all
Answer» E.
4295.

In a fission process, nucleus A divides into two nuclei B and C, their binding energies being \[{{E}_{a}},\ {{E}_{b}}\]and \[{{E}_{c}}\] respectively. Then

A.            \[{{E}_{b}}={{E}_{c}}=Ea\]      
B.            \[{{E}_{b}}+{{E}_{c}}>{{E}_{a}}\]
C.            \[{{E}_{b}}+{{E}_{c}}<{{E}_{a}}\]                                     
D.            \[{{E}_{b}},\ {{E}_{c}}={{E}_{a}}\]
Answer» C.            \[{{E}_{b}}+{{E}_{c}}<{{E}_{a}}\]                                     
4296.

Thermal neutrons are those which                                                          [NCERT 1983]

A.            Are at very high temperature
B.            Move with high velocities
C.            Have kinetic energies similar to those of surrounding molecules
D.            Are at rest
Answer» D.            Are at rest
4297.

Which of the following statement is true         [MP PET 1993]

A.            \[_{78}P{{t}^{192}}\] has 78 neutrons
B.            \[_{84}P{{o}^{214}}{{\to }_{82}}P{{b}^{210}}+{{\beta }^{-}}\]
C.            \[_{92}{{U}^{238}}{{\to }_{90}}T{{h}^{234}}{{+}_{2}}H{{e}^{4}}\]
D.            \[_{90}T{{h}^{234}}{{\to }_{91}}P{{a}^{234}}{{+}_{2}}H{{e}^{4}}\]
Answer» D.            \[_{90}T{{h}^{234}}{{\to }_{91}}P{{a}^{234}}{{+}_{2}}H{{e}^{4}}\]
4298.

A gamma ray photon creates an electron- positron pair. If the rest mass energy of an electron is 0.5 MeV and the total K.E. of the electron- positron pair is 0.78 MeV, then the energy of the gamma ray photon must be    [MP PMT 1991]

A.            0.78 MeV                               
B.            1.78 MeV
C.            1.28 MeV                               
D.            0.28 MeV
Answer» C.            1.28 MeV                               
4299.

Which of the following has the mass closest in value to that of the positron                         [AFMC 1993]          

A.            Proton                                    
B.            Electron
C.            Photon                                   
D.            Neutrino \[(1\ a.m.u=931\ MeV)\]
Answer» C.            Photon                                   
4300.

The main source of solar energy is[CPMT 1990; MP PET 1985, 86; CBSE PMT 1992; EAMCET (Engg.) 1995; RPET 1996; AFMC 1998]

A.            Fission reactions                 
B.            Fusion reactions
C.            Chemical reactions            
D.            Combustion reactions
Answer» C.            Chemical reactions