This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
8The damping force on an oscillator is directlyproportional to the velocity. The units of theconstant of proportionality are\lbrack AIPMT (Prelims) -2012\rbrack(1) kg s-1(2) kg s(3) kg ms1(4) kgm s |
| Answer» 8The damping force on an oscillator is directlyproportional to the velocity. The units of theconstant of proportionality are\lbrack AIPMT (Prelims) -2012\rbrack(1) kg s-1(2) kg s(3) kg ms1(4) kgm s | |
| 2. |
An air chamber of volume V has a neck area of cross section a into which a ball of mass m just fits and can move up and down without any friction (Fig.14.27). Showthat when the ball is pressed down a little and released , it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Fig. 14.27]. |
| Answer» An air chamber of volume V has a neck area of cross section a into which a ball of mass m just fits and can move up and down without any friction (Fig.14.27). Showthat when the ball is pressed down a little and released , it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Fig. 14.27]. | |
| 3. |
A solid sphere of mass 2 kg radius 0.5 m is rolling with an initial speed of 1 ms−1 goes up an inclined plane which makes an angle of 30∘ with the horizontal plane, without slipping. How long will the sphere take to return to the starting point A? |
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Answer» A solid sphere of mass 2 kg radius 0.5 m is rolling with an initial speed of 1 ms−1 goes up an inclined plane which makes an angle of 30∘ with the horizontal plane, without slipping. How long will the sphere take to return to the starting point A? |
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| 4. |
two identical balls moving in opposite direction with speeds 20m/s and 25m/s undergo head on perfectly inelastic collision.the speed of combined mass i |
| Answer» two identical balls moving in opposite direction with speeds 20m/s and 25m/s undergo head on perfectly inelastic collision.the speed of combined mass i | |
| 5. |
Force of attraction on a particle of mass m placed at the center of a semicircular wire of length L and mass M is |
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Answer» Force of attraction on a particle of mass m placed at the center of a semicircular wire of length L and mass M is |
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| 6. |
Let →r be a unit vector satisfying →r×→a=→b, where |→a|=√3 and |→b|=√2. Then |
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Answer» Let →r be a unit vector satisfying →r×→a=→b, where |→a|=√3 and |→b|=√2. Then |
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| 7. |
Two identical balls A and B having mass m are lying on a smooth surface as shown in figure. Ball A hits the ball B (which is at rest) with a velocity 16 ms−1. What should be the minimum value of coefficient of restitution between A and B so that B just reaches the highest point of inclined plane? [Take g=10 ms−2] |
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Answer» Two identical balls A and B having mass m are lying on a smooth surface as shown in figure. Ball A hits the ball B (which is at rest) with a velocity 16 ms−1. What should be the minimum value of coefficient of restitution between A and B so that B just reaches the highest point of inclined plane? [Take g=10 ms−2] |
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| 8. |
Calculate the contact force acting on the mass m placed over the inclined plane of friction coefficient 0.5 as shown: |
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Answer» Calculate the contact force acting on the mass m placed over the inclined plane of friction coefficient 0.5 as shown: |
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| 9. |
An infinite wire having linear charge density +λ is arranged as shown. A charge particle of mass m and charge q is released from point P. Find the initial acceleration of the particle (at t=0) just after the particle is released.(Assume the straight parts of wire perpendicular to XY plane.) |
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Answer» An infinite wire having linear charge density +λ is arranged as shown. A charge particle of mass m and charge q is released from point P. Find the initial acceleration of the particle (at t=0) just after the particle is released. |
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| 10. |
12. If radius of earth becomes n times its present value without change in mass then duration of day becomes |
| Answer» 12. If radius of earth becomes n times its present value without change in mass then duration of day becomes | |
| 11. |
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick the incorrect option. |
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Answer» All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick the incorrect option. |
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| 12. |
41. In a Camot engine, when heat is absorbed fromthe source, temperature of source(1) Increases(2) Decreases(3) Remains constant (4) Cannot say |
| Answer» 41. In a Camot engine, when heat is absorbed fromthe source, temperature of source(1) Increases(2) Decreases(3) Remains constant (4) Cannot say | |
| 13. |
A screen is placed 50 cm from a single slit, which is illuminated with light of wavelength 2. If distance between the first and third minima in diffraction pattern is 3 mm and width of slit is 0.2 mm then |
| Answer» A screen is placed 50 cm from a single slit, which is illuminated with light of wavelength 2. If distance between the first and third minima in diffraction pattern is 3 mm and width of slit is 0.2 mm then | |
| 14. |
23. FM radio broadcast at 900kHz. What wavelength does this corresponds to ? |
| Answer» 23. FM radio broadcast at 900kHz. What wavelength does this corresponds to ? | |
| 15. |
For 0≤x≤π2, the value of ∫sin2x0sin−1√t dt+∫cos2x0cos−1√t dt equals |
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Answer» For 0≤x≤π2, the value of ∫sin2x0sin−1√t dt+∫cos2x0cos−1√t dt equals |
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| 16. |
A rod of length l having uniformly distributed charge Q is rotated about one end with constant frequency f. Its magnetic moment is |
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Answer» A rod of length l having uniformly distributed charge Q is rotated about one end with constant frequency f. Its magnetic moment is |
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| 17. |
a particle execute SHM of amplitude 5cm has max speed of 31.4cm the frequenvy of oscillation is |
| Answer» a particle execute SHM of amplitude 5cm has max speed of 31.4cm the frequenvy of oscillation is | |
| 18. |
The electric field due to an electric dipole at a distance r from its center on the axial line is E. If the dipole is rotated through an angle of 90∘ about its perpendicular axis, electric field at the same point will be |
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Answer» The electric field due to an electric dipole at a distance r from its center on the axial line is E. If the dipole is rotated through an angle of 90∘ about its perpendicular axis, electric field at the same point will be |
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| 19. |
Find the value of m such that the vector 4^i−2^j−2^k is orthogonal to the vector −^i+2^j−m^k |
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Answer» Find the value of m such that the vector 4^i−2^j−2^k is orthogonal to the vector −^i+2^j−m^k |
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| 20. |
Find the equivalent resistance across AB |
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Answer» Find the equivalent resistance across AB |
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| 21. |
A tube leads from a flask in which water is boiling under atmospheric pressure to a calorimeter. The mass of the calorimeter is 150 gm, its specific heat capacity is 0.1 cal/gm/∘C, and it contains originally 340 gm of water at 15∘C. Steam is allowed to condense in the calorimeter until its temperature increase to 71∘C, after which total mass of calorimeter and contents are found to be 525 gm. Compute the heat of condensation of steam. |
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Answer» A tube leads from a flask in which water is boiling under atmospheric pressure to a calorimeter. The mass of the calorimeter is 150 gm, its specific heat capacity is 0.1 cal/gm/∘C, and it contains originally 340 gm of water at 15∘C. Steam is allowed to condense in the calorimeter until its temperature increase to 71∘C, after which total mass of calorimeter and contents are found to be 525 gm. Compute the heat of condensation of steam. |
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| 22. |
how much time does a charge required to set up its electric field |
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Answer» how much time does a charge required to set up its electric field |
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| 23. |
A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniformmagnetic field of strength 0.2 Weber/m2. The coil carries a current of 2 A. If the plane of the coil is inclinedat an angle of 30^° with the direction of the field, the torque required to keep the coil in stable equilibrium willbe [(1)0.12 Nm (2)0.15 Nm (3)0.20 Nm (4)0.24 Nm |
| Answer» A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniformmagnetic field of strength 0.2 Weber/m2. The coil carries a current of 2 A. If the plane of the coil is inclinedat an angle of 30^° with the direction of the field, the torque required to keep the coil in stable equilibrium willbe [(1)0.12 Nm (2)0.15 Nm (3)0.20 Nm (4)0.24 Nm | |
| 24. |
A parallel plate capacitor (Fig. 8.7) made of circular plates each of radiusR = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected toa 230 V ac supply with a (angular) frequency of 300 rad s–1. (a) What is the rms value of the conduction current? (b) Is the conduction current equal to the displacement current? (c) Determine the amplitude of B at a point 3.0 cm from the axisbetween the plates. |
| Answer» A parallel plate capacitor (Fig. 8.7) made of circular plates each of radiusR = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected toa 230 V ac supply with a (angular) frequency of 300 rad s–1. (a) What is the rms value of the conduction current? (b) Is the conduction current equal to the displacement current? (c) Determine the amplitude of B at a point 3.0 cm from the axisbetween the plates. | |
| 25. |
(a) Provethe theorem of perpendicular axes.(Hint:Square of the distance of a point (x,y)in the x–yplanefrom an axis through the origin perpendicular to the plane is x2+y2).(b) Provethe theorem of parallel axes.(Hint:If the centre of mass is chosen to be the origin ). |
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Answer» (a) Prove (Hint: (b) Prove (Hint: |
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| 26. |
If momentum of a body increases by x %, then percentage increase in its kinetic energy.(If Error is greater than 10%) |
| Answer» If momentum of a body increases by x %, then percentage increase in its kinetic energy.(If Error is greater than 10%) | |
| 27. |
A ball of density ρ is dropped from a height h into a container filled with a liquid of density 2ρ as shown in the figure. The maximum depth up to which the ball reaches is |
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Answer» A ball of density ρ is dropped from a height h into a container filled with a liquid of density 2ρ as shown in the figure. The maximum depth up to which the ball reaches is |
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| 28. |
When light of wavelength 310 nm is incident on a material. The electron emitted with the maximum kinetic energy. If emitted photo electros are allowed to move through transverse magnetic field strength B=5.2×10−6 T performs circular motion, then find the radius of the circular path.Work function of the material, ϕ=2.5 eV. |
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Answer» When light of wavelength 310 nm is incident on a material. The electron emitted with the maximum kinetic energy. If emitted photo electros are allowed to move through transverse magnetic field strength B=5.2×10−6 T performs circular motion, then find the radius of the circular path. |
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| 29. |
A triangular loop of equal sides a carries a current I. It is placed in a magnetic field B such that the plane of the loop makes an angle of 30∘ with the direction of B. The magnitude of the torque on the loop is - |
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Answer» A triangular loop of equal sides a carries a current I. It is placed in a magnetic field B such that the plane of the loop makes an angle of 30∘ with the direction of B. The magnitude of the torque on the loop is - |
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| 30. |
Magnetic field varies as B=2t in a square loop of side 20 cm as shown in the figure. If the resistance of the loop is 4 Ω, the total charge that flows in the loop from t=0 to t=2 s will be. |
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Answer» Magnetic field varies as B=2t in a square loop of side 20 cm as shown in the figure. If the resistance of the loop is 4 Ω, the total charge that flows in the loop from t=0 to t=2 s will be. |
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| 31. |
A car and a truck move in the same straight line at the same instant of time from the same place. The car moves with a constant velocity of 40 m/s and the truck starts with a constant acceleration of 4 m/s2. Find the time t that elapses before the truck catches up with the car. |
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Answer» A car and a truck move in the same straight line at the same instant of time from the same place. The car moves with a constant velocity of 40 m/s and the truck starts with a constant acceleration of 4 m/s2. Find the time t that elapses before the truck catches up with the car. |
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| 32. |
Find the number of images formed by the system of plane mirrors arranged as shown in the figure. The object ′O′ is placed at the midpoint of PQ. |
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Answer» Find the number of images formed by the system of plane mirrors arranged as shown in the figure. The object ′O′ is placed at the midpoint of PQ. |
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| 33. |
A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then, the ratio of the speed of this body in the orbit to the escape velocity from the planet is : |
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Answer» A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then, the ratio of the speed of this body in the orbit to the escape velocity from the planet is : |
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| 34. |
A point charge q is placed at the centre of a face of imaginary Gaussian cylindrical surface of radius r and length\sqrt3R. The flux through the closed surface area i |
| Answer» A point charge q is placed at the centre of a face of imaginary Gaussian cylindrical surface of radius r and length\sqrt3R. The flux through the closed surface area i | |
| 35. |
A uniform chain of length L and mass M is lying on a smooth table and 1/3rd of its length is hanging vertically down.What is the minimum work done to pull the hanging part of the chain ?? |
| Answer» A uniform chain of length L and mass M is lying on a smooth table and 1/3rd of its length is hanging vertically down.What is the minimum work done to pull the hanging part of the chain ?? | |
| 36. |
limx→π2(1−sinx)(8x3−π3)cosx(π−2x)4 |
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Answer» limx→π2(1−sinx)(8x3−π3)cosx(π−2x)4 |
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| 37. |
What is Diamagnetic and paramagnetic?Explain in detail with diagram |
| Answer» What is Diamagnetic and paramagnetic?Explain in detail with diagram | |
| 38. |
out of two cars A and B car A is moving towards east with velocity of 10m/s whereas B is moving towards north with a velocity of 20m/s then velocity of A w.r.t B |
| Answer» out of two cars A and B car A is moving towards east with velocity of 10m/s whereas B is moving towards north with a velocity of 20m/s then velocity of A w.r.t B | |
| 39. |
number of faradays required for conversion of following reaction kmno4=k2mno4+mno2+o2 |
| Answer» number of faradays required for conversion of following reaction kmno4=k2mno4+mno2+o2 | |
| 40. |
The magnitude of the resultant of →A+→B and →A−→B is |
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Answer» The magnitude of the resultant of →A+→B and →A−→B is |
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| 41. |
A ray PQ incident normally on the refracting face BA is refracted in the prism BAC made of material of refractive index 1.5. Complete the path of ray through the prism. From which face will the ray emerge? Justify your answer. |
Answer» A ray PQ incident normally on the refracting face BA is refracted in the prism BAC made of material of refractive index 1.5. Complete the path of ray through the prism. From which face will the ray emerge? Justify your answer.![]() |
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| 42. |
A particle A is projected with an initial velocity of 60 m/s at an angle 30∘ to the horizontal. At the same time, a second particle B is projected in direction as shown in figure with initial speed of 50 m/s from a point at a distance of 100 m from A. If the particles collide in air, find the time when the particles collide. |
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Answer» A particle A is projected with an initial velocity of 60 m/s at an angle 30∘ to the horizontal. At the same time, a second particle B is projected in direction as shown in figure with initial speed of 50 m/s from a point at a distance of 100 m from A. If the particles collide in air, find the time when the particles collide. |
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| 43. |
A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r=2Ω. Two resistance of 6Ω and 3Ω are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is |
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Answer» A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r=2Ω. Two resistance of 6Ω and 3Ω are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2m/s is
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| 44. |
How much heat energy is released when 5 kg of water at 20∘C is brought to its freezing point?(Specific heat of water=4.2 kJ kg−1c−1) |
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Answer» How much heat energy is released when 5 kg of water at 20∘C is brought to its freezing point? |
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| 45. |
The molecules of a given mass of a gas have root mean square speed of 100 ms−1 at 27 ∘C and 1 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127 ∘C and 2 atmospheric pressure? |
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Answer» The molecules of a given mass of a gas have root mean square speed of 100 ms−1 at 27 ∘C and 1 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127 ∘C and 2 atmospheric pressure? |
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| 46. |
^n1 is the unit vector along incident ray, ^n2 along the normal to plane mirror and ^n3 is the unit vector along reflected ray direction, then which of the following must be true? |
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Answer» ^n1 is the unit vector along incident ray, ^n2 along the normal to plane mirror and ^n3 is the unit vector along reflected ray direction, then which of the following must be true? |
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| 47. |
When a U238 nucleus originally at rest decays by emitting an alpha particle having a speed ‘u’, the recoil speed of the residual nucleus is |
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Answer» When a U238 nucleus originally at rest decays by emitting an alpha particle having a speed ‘u’, the recoil speed of the residual nucleus is |
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| 48. |
A parallel plate capacitor with circular plates of radius R is being charged as shown. At the instant shown, the displacement current in the region between the plates enclosed between R2 and R is given by, |
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Answer» A parallel plate capacitor with circular plates of radius R is being charged as shown. At the instant shown, the displacement current in the region between the plates enclosed between R2 and R is given by, |
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| 49. |
In young's double slit experiment the two slits are illuminated by light of wavelength 5890 ˙A and it is observed that successive maxima or minima are seperated by angular displacement 2∘. The whole apparatus is immersed in water, then find out angular fringe width is (μw=43). |
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Answer» In young's double slit experiment the two slits are illuminated by light of wavelength 5890 ˙A and it is observed that successive maxima or minima are seperated by angular displacement 2∘. The whole apparatus is immersed in water, then find out angular fringe width is (μw=43). |
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| 50. |
An electrostatic potential is given by ϕ=2x√Y volts in the rectangular co-ordinate system. The magnitude of the electric field at x=1 m, y = 1 m is V/m2.24 |
Answer» An electrostatic potential is given by ϕ=2x√Y volts in the rectangular co-ordinate system. The magnitude of the electric field at x=1 m, y = 1 m is V/m
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