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MCQOPTIONS
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.
| 5901. |
If an ideal gas is compressed isothermally then [RPMT 2003] |
| A. | No work is done against gas |
| B. | Heat is relased by the gas |
| C. | The internal energy of gas will increase |
| D. | Pressure does not change |
| Answer» C. The internal energy of gas will increase | |
| 5902. |
A thermodynamic process in which temperature T of the system remains constant though other variable P and V may change, is called [Pb. PMT 2004] |
| A. | Isochoric process |
| B. | Isothermal process |
| C. | Isobaric process |
| D. | None of these |
| Answer» C. Isobaric process | |
| 5903. |
Can two isothermal curves cut each other |
| A. | Never |
| B. | Yes |
| C. | They will cut when temperature is 0°C |
| D. | Yes, when the pressure is critical pressure |
| Answer» B. Yes | |
| 5904. |
In an isothermal process the volume of an ideal gas is halved. One can say that [MP PMT 2004] |
| A. | Internal energy of the system decreases |
| B. | Work done by the gas is positive |
| C. | Work done by the gas is negative |
| D. | Internal energy of the system increases |
| Answer» D. Internal energy of the system increases | |
| 5905. |
A container that suits the occurrence of an isothermal process should be made of [Pb. PMT 2000] |
| A. | Copper |
| B. | Glass |
| C. | Wood |
| D. | Cloth |
| Answer» B. Glass | |
| 5906. |
A thermally insulated container is divided into two parts by a screen. In one part the pressure and temperature are P and T for an ideal gas filled. In the second part it is vacuum. If now a small hole is created in the screen, then the temperature of the gas will [RPET 1999] |
| A. | Decrease |
| B. | Increase |
| C. | Remain same |
| D. | None of the above |
| Answer» D. None of the above | |
| 5907. |
The specific heat of a gas in an isothermal process is [AFMC 1998] |
| A. | Infinite |
| B. | Zero |
| C. | Negative |
| D. | Remains constant |
| Answer» B. Zero | |
| 5908. |
An ideal gas A and a real gas B have their volumes increased from V to 2 V under isothermal conditions. The increase in internal energy [CBSE PMT 1993; JIPMER 2001, 02] |
| A. | Will be same in both A and B |
| B. | Will be zero in both the gases |
| C. | Of B will be more than that of A |
| D. | Of A will be more than that of B |
| Answer» D. Of A will be more than that of B | |
| 5909. |
In isothermic process, which statement is wrong [RPMT 1997] |
| A. | Temperature is constant |
| B. | Internal energy is constant |
| C. | No exchange of energy |
| D. | (a) and (b) are correct |
| Answer» D. (a) and (b) are correct | |
| 5910. |
The isothermal bulk modulus of a perfect gas at normal pressure is [AFMC 1997] |
| A. | \[1.013\times {{10}^{5}}N/{{m}^{2}}\] |
| B. | \[1.013\times {{10}^{6}}N/{{m}^{2}}\] |
| C. | \[1.,013\times {{10}^{-11}}N/{{m}^{2}}\] |
| D. | \[1.013\times {{10}^{11}}N/{{m}^{2}}\] |
| Answer» B. \[1.013\times {{10}^{6}}N/{{m}^{2}}\] | |
| 5911. |
In an isothermal change, an ideal gas obeys [EAMCET 1994; CPMT 1999] |
| A. | Boyle's law |
| B. | Charle's law |
| C. | Gaylussac law |
| D. | None of the above |
| Answer» B. Charle's law | |
| 5912. |
In isothermal expansion, the pressure is determined by [AFMC 1995] |
| A. | Temperature only |
| B. | Compressibility only |
| C. | Both temperature and compressibility |
| D. | None of these |
| Answer» C. Both temperature and compressibility | |
| 5913. |
The isothermal Bulk modulus of an ideal gas at pressure P is [CPMT 1974, 81; UPSEAT 1998; IIT 1998] |
| A. | P |
| B. | \[\gamma P\] |
| C. | P / 2 |
| D. | P / g |
| Answer» B. \[\gamma P\] | |
| 5914. |
Work done per mol in an isothermal change is [RPMT 2004; BCECE 2005] |
| A. | \[RT{{\log }_{10}}\frac{{{V}_{2}}}{{{V}_{1}}}\] |
| B. | \[RT{{\log }_{10}}\frac{{{V}_{1}}}{{{V}_{2}}}\] |
| C. | \[RT{{\log }_{e}}\frac{{{V}_{2}}}{{{V}_{1}}}\] |
| D. | \[RT{{\log }_{e}}\frac{{{V}_{1}}}{{{V}_{2}}}\] |
| Answer» D. \[RT{{\log }_{e}}\frac{{{V}_{1}}}{{{V}_{2}}}\] | |
| 5915. |
For an ideal gas, in an isothermal process [BHU 1998] |
| A. | Heat content remains constant |
| B. | Heat content and temperature remain constant |
| C. | Temperature remains constant |
| D. | None of the above |
| Answer» D. None of the above | |
| 5916. |
Two kg of water is converted into steam by boiling at atmospheric pressure. The volume changes from \[2\times {{10}^{-3}}\,{{m}^{3}}\] to \[3.34{{m}^{3}}.\] The work done by the system is about [Roorkee 2000] |
| A. | ? 340 kJ |
| B. | ? 170 kJ |
| C. | 170 kJ |
| D. | 340 kJ |
| Answer» E. | |
| 5917. |
A gas expands \[0.25{{m}^{3}}\] at constant pressure \[{{10}^{3}}N/{{m}^{2}}\], the work done is [CPMT 1997; UPSEAT 1999; JIPMER 2001, 02] |
| A. | 2.5 ergs |
| B. | 250 J |
| C. | 250 W |
| D. | 250 N |
| Answer» C. 250 W | |
| 5918. |
Unit mass of a liquid with volume \[{{V}_{1}}\] is completely changed into a gas of volume \[{{V}_{2}}\] at a constant external pressure P and temperature T. If the latent heat of evaporation for the given mass is L, then the increase in the internal energy of the system is [Roorkee 1999] |
| A. | Zero |
| B. | \[P({{V}_{2}}-{{V}_{1}})\] |
| C. | \[L-P({{V}_{2}}-{{V}_{1}})\] |
| D. | L |
| Answer» D. L | |
| 5919. |
Work done by 0.1 mole of a gas at \[{{27}^{o}}C\] to double its volume at constant pressure is (R = 2 cal mol?1 oC?1) [EAMCET 1994] |
| A. | 54 cal |
| B. | 600 cal |
| C. | 60 cal |
| D. | 546 cal |
| Answer» D. 546 cal | |
| 5920. |
One mole of a perfect gas in a cylinder fitted with a piston has a pressure P, volume V and temperature T. If the temperature is increased by 1 K keeping pressure constant, the increase in volume is |
| A. | \[\frac{2V}{273}\] |
| B. | \[\frac{V}{91}\] |
| C. | \[\frac{V}{273}\] |
| D. | V |
| Answer» D. V | |
| 5921. |
A gas is compressed at a constant pressure of \[50N/{{m}^{2}}\] from a volume of \[10{{m}^{3}}\] to a volume of \[4{{m}^{3}}\]. Energy of 100 J then added to the gas by heating. Its internal energy is [MNR 1994] |
| A. | Increased by 400 J |
| B. | Increased by 200 J |
| C. | Increased by 100 J |
| D. | Decreased by 200 J |
| Answer» B. Increased by 200 J | |
| 5922. |
Work done by air when it expands from 50 litres to 150 litres at a constant pressure of 2 atmosphere is |
| A. | \[2\times {{10}^{4}}\]joules |
| B. | \[2\times 100\]joules |
| C. | \[2\times {{10}^{5}}\times 100\]joules |
| D. | \[2\times {{10}^{-5}}\times 100\]joules |
| Answer» B. \[2\times 100\]joules | |
| 5923. |
Which is incorrect [DCE 2001] |
| A. | In an isobaric process, \[\Delta p=0\] |
| B. | In an isochoric process, \[\Delta W=0\] |
| C. | In an isothermal process, \[\Delta T=0\] |
| D. | In an isothermal process, \[\Delta Q=0\] |
| Answer» E. | |
| 5924. |
Which relation is correct for isometric process [RPMT 2001; BCECE 2003] |
| A. | \[\Delta Q=\Delta U\]\[\] |
| B. | \[\Delta W=\Delta U\] |
| C. | \[\Delta Q=\Delta W\] |
| D. | None of these |
| Answer» B. \[\Delta W=\Delta U\] | |
| 5925. |
In an isochoric process if \[{{T}_{1}}={{27}^{o}}C\] and \[{{T}_{2}}={{127}^{o}}C,\] then \[{{P}_{1}}/{{P}_{2}}\] will be equal to [RPMT 2003] |
| A. | 9 / 59 |
| B. | 2 / 3 |
| C. | 3 / 4 |
| D. | At constant volume \[P\propto T\]Þ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]Þ\[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{300}{400}=\frac{3}{4}\] |
| Answer» D. At constant volume \[P\propto T\]Þ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\]Þ\[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{300}{400}=\frac{3}{4}\] | |
| 5926. |
When heat in given to a gas in an isobaric process, then [DPMT 2001] |
| A. | The work is done by the gas |
| B. | Internal energy of the gas increases |
| C. | Both (a) and (b) |
| D. | None from (a) and (b) |
| Answer» D. None from (a) and (b) | |
| 5927. |
In which thermodynamic process, volume remains same [Orissa PMT 2004] |
| A. | Isobaric |
| B. | Isothermal |
| C. | Adiabatic |
| D. | Isochoric |
| Answer» E. | |
| 5928. |
The work done in which of the following processes is zero [UPSEAT 2003] |
| A. | Isothermal process |
| B. | Adiabatic process |
| C. | Isochoric process |
| D. | None of these |
| Answer» D. None of these | |
| 5929. |
Entropy of a thermodynamic system does not change when this system is used for [AIIMS 1995] |
| A. | Conduction of heat from a hot reservoir to a cold reservoir |
| B. | Conversion of heat into work isobarically |
| C. | Conversion of heat into internal energy isochorically |
| D. | Conversion of work into heat isochorically |
| Answer» E. | |
| 5930. |
How much work to be done in decreasing the volume of and ideal gas by an amount of \[2.4\times {{10}^{-4}}{{m}^{3}}\] at normal temperature and constant normal pressure of \[1\times {{10}^{5}}N/{{m}^{2}}\] [UPSEAT 1999] |
| A. | 28 joule |
| B. | 27 joule |
| C. | 25 joule |
| D. | 24 joule |
| Answer» E. | |
| 5931. |
A Container having 1 mole of a gas at a temperature 27°C has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes 127°C. The work done is (Cp for gas is 7.03 cal/mol?K) [DCE 2005] |
| A. | 703 J |
| B. | 814 J |
| C. | 121 J |
| D. | 2035 J |
| Answer» C. 121 J | |
| 5932. |
In a reversible isochoric change [NCERT 1990] |
| A. | \[\Delta W=0\] |
| B. | \[\Delta Q=0\] |
| C. | \[\Delta T=0\] |
| D. | \[\Delta U=0\] |
| Answer» B. \[\Delta Q=0\] | |
| 5933. |
A sample of gas expands from volume \[{{V}_{1}}\] to\[{{V}_{2}}\]. The amount of work done by the gas is greatest when the expansion is [CBSE PMT 1997; AIIMS 1998; JIPMER 2000] |
| A. | Isothermal |
| B. | Isobaric |
| C. | Adiabatic |
| D. | Equal in all cases |
| Answer» C. Adiabatic | |
| 5934. |
Which of the following is correct in terms of increasing work done for the same initial and final state [RPMT 1996] |
| A. | Adiabatic < Isothermal < Isobaric |
| B. | Isobaric < Adiabatic < Isothermal |
| C. | Adiabatic < Isobaric < Isothermal |
| D. | None of these |
| Answer» B. Isobaric < Adiabatic < Isothermal | |
| 5935. |
An ideal gas has volume \[{{V}_{0}}\] at \[{{27}^{o}}C.\]It is heated at constant pressure so that its volume becomes \[2{{V}_{0}}.\] The final temperature is [BCECE 2003] |
| A. | \[{{54}^{o}}C\] |
| B. | \[{{32.6}^{o}}C\] |
| C. | \[327\ {}^\circ C\] |
| D. | 150 K |
| Answer» D. 150 K | |
| 5936. |
If 300 ml of a gas at \[{{27}^{o}}C\] is cooled to \[{{7}^{o}}C\] at constant pressure, then its final volume will be [Pb. PET 1999; BHU 2003; CPMT 2004] |
| A. | 540 ml |
| B. | 350 ml |
| C. | 280 ml |
| D. | 135 ml |
| Answer» D. 135 ml | |
| 5937. |
Coherent sources are characterized by the same [KCET 1993] |
| A. | Phase and phase velocity |
| B. | Wavelength, amplitude and phase velocity |
| C. | Wavelength, amplitude and frequency |
| D. | Wavelength and phase |
| Answer» C. Wavelength, amplitude and frequency | |
| 5938. |
Two waves are propagating to the point P along a straight line produced by two sources A and B of simple harmonic and of equal frequency. The amplitude of every wave at P is ?a? and the phase of A is ahead by \[\frac{\pi }{3}\] than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter [BVP 2003] |
| A. | 2a |
| B. | \[a\sqrt{3}\] |
| C. | \[a\sqrt{2}\] |
| D. | a |
| Answer» E. | |
| 5939. |
Two sources of sound A and B produces the wave of 350 Hz, they vibrate in the same phase. The particle P is vibrating under the influence of these two waves, if the amplitudes at the point P produced by the two waves is 0.3 mm and 0.4 mm, then the resultant amplitude of the point P will be when AP ? BP = 25 cm and the velocity of sound is 350 m/sec |
| A. | 0.7 mm |
| B. | 0.1 mm |
| C. | 0.2 mm |
| D. | 0.5 mm |
| Answer» E. | |
| 5940. |
If two waves of same frequency and same amplitude respectively, on superimposition produced a resultant disturbance of the same amplitude, the waves differ in phase by [MP PMT 1990; MP PET 2000] |
| A. | p |
| B. | \[2\pi /3\] |
| C. | \[\pi /2\] |
| D. | Zero |
| Answer» C. \[\pi /2\] | |
| 5941. |
The superposition takes place between two waves of frequency f and amplitude a. The total intensity is directly proportional to [MP PMT 1986] |
| A. | a |
| B. | 2a |
| C. | \[2{{a}^{2}}\] |
| D. | \[4{{a}^{2}}\] |
| Answer» E. | |
| 5942. |
Two waves having equations \[{{x}_{1}}=a\sin (\omega \,t+{{\varphi }_{1}})\], \[{{x}_{2}}=a\sin \,(\omega \,t+{{\varphi }_{2}})\] If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is [CBSE PMT 2001] |
| A. | \[\frac{\pi }{6}\] |
| B. | \[\frac{2\pi }{3}\] |
| C. | \[\frac{\pi }{4}\] |
| D. | \[\frac{\pi }{3}\] |
| Answer» C. \[\frac{\pi }{4}\] | |
| 5943. |
The amplitude of a wave represented by displacement equation \[y=\frac{1}{\sqrt{a}}\sin \omega t\pm \frac{1}{\sqrt{b}}\cos \omega t\] will be [BVP 2003] |
| A. | \[\frac{a+b}{ab}\] |
| B. | \[\frac{\sqrt{a}+\sqrt{b}}{ab}\] |
| C. | \[\frac{\sqrt{a}\pm \sqrt{b}}{ab}\] |
| D. | \[\sqrt{\frac{a+b}{ab}}\] |
| Answer» E. | |
| 5944. |
Two waves are represented by \[{{y}_{1}}=a\sin \left( \omega \,t+\frac{\pi }{6} \right)\] and \[{{y}_{2}}=a\cos \omega \,t\]. What will be their resultant amplitude [RPMT 1996] |
| A. | a |
| B. | \[\sqrt{2}\,a\] |
| C. | \[\sqrt{3}\,a\] |
| D. | 2a |
| Answer» D. 2a | |
| 5945. |
The displacement of the interfering light waves are \[{{y}_{1}}=4\sin \omega \,t\] and \[{{y}_{2}}=3\sin \left( \omega \,t+\frac{\pi }{2} \right)\]. What is the amplitude of the resultant wave [RPMT 1996; Orissa JEE 2005] |
| A. | 5 |
| B. | 7 |
| C. | 1 |
| D. | 0 |
| Answer» B. 7 | |
| 5946. |
Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to the minimum intensity, is equal to [CPMT 2001; Pb. PET 2004] |
| A. | 2 : 1 |
| B. | 4 : 1 |
| C. | 9 : 1 |
| D. | 10 : 8 |
| Answer» C. 9 : 1 | |
| 5947. |
Equation of motion in the same direction is given by \[{{y}_{1}}=A\sin (\omega t-kx)\], \[{{y}_{2}}=A\sin (\omega t-kx-\theta )\]. The amplitude of the medium particle will be [BHU 2003] |
| A. | \[2A\cos \frac{\theta }{2}\] |
| B. | \[2A\cos \theta \] |
| C. | \[\sqrt{2}A\cos \frac{\theta }{2}\] |
| D. | \[1.2f,\ 1.2\lambda \] |
| Answer» B. \[2A\cos \theta \] | |
| 5948. |
If the phase difference between the two wave is 2p during superposition, then the resultant amplitude is [DPMT 2001] |
| A. | Maximum |
| B. | Minimum |
| C. | Maximum or minimum |
| D. | None of the above |
| Answer» B. Minimum | |
| 5949. |
If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be [MHCET 2000] |
| A. | 16 : 18 |
| B. | 18 : 16 |
| C. | 49 : 1 |
| D. | 1 : 49 |
| Answer» D. 1 : 49 | |
| 5950. |
The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be [AMU 2000] |
| A. | 1 : 25 |
| B. | 25 : 1 |
| C. | 9 : 4 |
| D. | 4 : 9 |
| Answer» C. 9 : 4 | |