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. |
In the equation of motion of waves in x-direction is given by y= 10^(-4) sin(600t-2x+(pi)/(3)) where x and y are in metre and t is in second, then the velocity of wave will be…………ms^(-1). |
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Answer» Solution :Comparing given equation with general equation, `y= A sin (OMEGA t-kx + PHI)` `omega= 600 (rad)/(s)" and "k= 2 (rad)/(m)` `THEREFORE v= (omega)/(k)` `=(600)/(2)= 300 m"/"s`. |
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| 3. |
The adiabatic relation between P and T is |
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Answer» <P>`P^(1-gamma).T^(gamma)=` CONSTANT |
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| 4. |
What is the phase difference between the displacement and the velocity of a particle executing SHM? |
| Answer» SOLUTION :`90^(@)` | |
| 5. |
Water rises to a height of 10cm in a capillary tube and mercury falls to a depth of 3.42cm in the same capillary tube. If the density of mercury is 13.6gm/cc and the angle of contact is 135^(@), ratio of surface tension for water and mercury is |
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Answer» `1:0.5` |
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| 6. |
An inventor claims to have developed an engine working between 600k and 300k of having an efficiency of 52% . Comment on his claims . |
| Answer» SOLUTION :CLAIM in INVALID | |
| 7. |
When small droplets floating in atmosphere merge into each other in clouds, they become heavy and cannot float in air and fall down as rain drops. In this process of formation of bigger drops if 'n' small drops each of radius 'r', surface tension “T” coalesce. ThenIf P is the excess pressure in a smaller drop, the excess pressure in bigger drop is |
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Answer» <P>`P` |
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| 8. |
A pendulum of length L swings from rest to rest n times in one second. The value of acceleration due to gravity is |
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Answer» `4pi^2 n^2L` |
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| 9. |
A bird resting on the floor of an air tight box is being carried by a boy. If the bird starts flying, he feels the box as |
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Answer» HEAVIER |
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| 10. |
Two parallel rail tracks run north-south. Train A moves north with a speed of 54kmh^(-1), and train B moves south with a speed of 90kmh^(-1). What is the (a) velocity of B with respect to A? (b) velocity of ground with respect to B?And (c ) velocity of a monkey running on the roof of the train A against its motion (with a velocityof 18 kmh^(-1) with respect to the train A) as observed by a man standing on the ground? |
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Answer» Solution :`v_(A)=+54kmh^(-1)=15ms^(-1)` `v_(B)=-90kmh^(-1)=-25ms^(-1)` Relative velocity of B with respect to A is `V_(BA)=V_(B)-V_(A)=-40MS^(-1)` i.e. the train B appears to A to move with a SPEED of 40 m s-1 from NORTH to south. Relative velocity of ground with respect to B is `V_(GB)=0-v_(B)=25ms^(-1)` In (c ), let the velocity of the monkey with respect to ground be `v_(M)`. Relative velocity of the monkey with respect to A. `v_(MA)=v_(M)-v_(A)=-18kmh^(-1)=-5MS^(-1)` Therefore, `v_(M)=v_(MA)+v_(A)=(-5+15)ms^(-1)=10ms^(-1)`. |
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| 11. |
When small droplets floating in atmosphere merge into each other in clouds, they become heavy and cannot float in air and fall down as rain drops. In this process of formation of bigger drops if 'n' small drops each of radius 'r', surface tension “T” coalesce. ThenWhen smaller drops combine energy is released or absorbed, which is given by |
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Answer» ENERGY released`= 4 pi R^3 ((1)/(R ) - (1)/(r ) )T` |
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| 12. |
The pressure of gas is decided by |
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Answer» RANDOM COLLISIONS on unit area |
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| 13. |
A copper and a steel wire of the same diameter are connected end to end. A deforming force Fis applied to this composite wire which causes a total elongation of 1 cm. The two wires will have |
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Answer» the same STRESS `therefore` Hence, stress is same so option (A) is correct. `implies ` Strain `= F/Y` Both wire having same DEFORMING force but different Young.s MODULUS and hence two wires will have different strain so, option (D) is correct. |
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| 14. |
The wavelength of maximum emitted energy of a body at 700K is 4.08 mum. If the temperature of the body is raised to 1400 K, the wavelength of maximum emitted energy the wavelenght of maximum emitte energy will be |
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Answer» 1.02 `MU`m |
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| 16. |
A spring is stretched by applying a load to its free end. The strain produced in the spring is |
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Answer» VOLUME STRAIN |
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| 17. |
In case of an orbiting satellite if the radius of orbit is decreased |
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Answer» its KINETIC energy decreases Potentialm energy, `U=-(GMm)/(R)` Total energy, `E=-(GMm)/(2r)` If `r` is decreased, K will increase but U and E will DECREASE. |
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| 18. |
If a spring of force constant K, is cut into three equal parts, then the force constant of each part will be |
| Answer» ANSWER :C | |
| 19. |
One mole of an ideal gas is taken from state A to state B as shown (P_(A)=2P_(0), V_(A)=V_(0)" and "P_(B)=P_(0), V_(B)=2V_(0)). Find the maximum temperature attained during this process ? |
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| 20. |
An open pipe40 cm long a closed pipe 31 cm long , both having same diameter , are producing their first overtone , and these are in unison. Determine the end correction of these pipes. |
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Answer» Solution :Let `v` be the VELOCITY of sound and `f` be the frequency of the NOTE. Thus , the wavelength of sound produced is `lambda = (v)/(f)` The wavelength of first overtone of OPEN pipe is ` lambda_(1) = L + 2 e = 40 + 2E` `(v)/(f) = 40 + 2e``(:. lambda_(1)= lambda)` The wavelength of first overtone of closed pipe is `(3)/(4) lambda_(1) = l + e = 31 + e` `(3)/(4) ((v)/(f)) = 31 + e``( :. lambda_(1) = lambda)` By eliminating `v//f` from the above two equations , we get `(3)/(4) ( 40 + 2 e) = 31 + e` `rArr e = 2 cm` |
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| 21. |
Calculate the moment of inertia of a.unifprm disc of mass 0.4 kg and radius 0.1m about an axis passing through its edge and perpendicular to the plane of die disc ? |
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| 22. |
If vec(A)= 5 hat(i) - 2hat(j) + 3hat(k) and vec(B)= 2hat(i) + hat(j) + 2hat(k), component of vec(B) along vec(A) is |
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Answer» `(SQRT14)/(38)` |
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| 23. |
A solid sphere rolls down without slipping from rest on a 30^(@) incline. Its linear acceleration is |
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Answer» `5g//7` |
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| 24. |
For 1 mole of an ideal gas, during an adiabaticprocess, the square of the pressure of a gas is found to be proportional to the cube of its absolute temperature. The specific heat of the gas at constant volume is (R - universal gas constant) |
| Answer» ANSWER :B | |
| 25. |
If a planet of mass 'm' is revolving around the sun in a circular orbit of radius 'r' with time period T, then the mass of the sun is |
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Answer» `(4PI^(2) R^(3))/(G T)` |
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| 26. |
The rate of emission of radiation of a black body at temperature 27^(@)C is E_(1). If its temperature is increased to 327oC the rate of emission of radiation is Ee_(2). The relation between E_(1) and E_(2) is |
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Answer» `E_(2) = 24 E_(1)` |
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| 27. |
Density of ice is rho and thatof water is sigma .What will be from following decrease in volume when a mass M of ice melts ? |
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Answer» `(M)/(sigma-RHO)` Volume of water `V_(2)=(M)/(sigma)` If `V_(1)gtV_(2)` , volume decreases for MELTING of ice . DECREASE in volume `=V_(1)-V_(2)=(M)/(rho)=(M)/(sigma)` `=M[(1)/(rho)-(1)/(sigma)]` |
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| 28. |
State the dimensional formula of (1) moment of inertia (ii) radius of gyration |
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Answer» Solution : Moment of inertia Unit: KG. m. Dimensional formula : `ML^(2)` RADIUS of gyration K. Unit: meter. Dimensional formula :`L^(1)` |
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| 29. |
''Conduction stops once rod achieves thermal steady state.'' |
| Answer» Solution :CONDUCTION doesn.t stop but heat transfer rate becomes CONSTANT. | |
| 30. |
The elongation of a steel wire, stretched by a force is e. If a wire of the same material, double the length and half the diameter is subjected to double the force, its elongation will be |
| Answer» ANSWER :A | |
| 31. |
A block is sliding on a rough horizontal surface. If the contact force on the block is sqrt(2) times the frictional force, the coefficient of friction is |
| Answer» Answer :D | |
| 32. |
0.2 moles of an ideal gas is taken round the cycle ABC as shown in the figure. The path B rarr C is an adiabatic process A rarr B is an isochoric process and C rarr A is an isobaric process. The temperature at A and B are T_(A)300 K and T_(B) = 500 k and pressure at A is 1 atm and volume at A is 4.91. The volume at C is (given : gamma = (C_(P))/(C_(V)) = (5)/(3), R = 8.205 xx 10^(-2) L "atm mol"^(-1) K^(-1), ((3)/(2))^(2//5) = 0.81) |
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Answer» 6.9 L `:. (P_(A))/(T_(A)) = (P_(B))/(T_(B))` or `P_(B) = (T_(B))/(T_(A)) xx P_(A) = (500)/(300) xx 1 = (5)/(3)` ATM For `B rarr C`, adiabatic process `:. (T_(C )^(gamma))/(P_(C )^(gamma - 1)) = (T_(B)^(gamma))/(P_(B)^(gamma - 1))` or `T_(C ) = ((P_(C ))/(P_(B)))^((gamma - 1)/(gamma)) xx T_(B) = [(1)/(5//3)]^(((5//3)-1)/((5//3))) xx 500` (Using (i)) `= ((3)/(5))^(2//5) xx 500` For `C rarr A`, pressure is constant `:. (V_(C ))/(T_(C )) = (V_(A))/(T_(A))` or `V_(C ) = V_(A) xx (T_(C ))/(T_(A)) = 4.9 xx ((3)/(5))^(2//5) xx 500 xx (1)/(300)` (Using (ii)) `= 4.9 xx 0.81 xx (5)/(3) = 6.6 L` |
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| 33. |
A machine gun is mounted on a flat railroad car . The gun is firing bullets at the rate of 10 bullets per second each of mass 10 g . The bullets come out with velocity 500 m s^(-1) relative to the car. Calculate the acceleration of the car at the instant when its mass is 200 kg . Also calculate the force at that instant. |
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| 34. |
The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minutes will be (1)/(x) time the original, where x is…………… |
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Answer» `2XX3` |
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| 35. |
A system of four masses m_1, m_2,m_3, m_4, my two springs and a fixed pulley is shown in figure. The system is kept at rest by attaching the lower thread to a rigid peg. Determine the acceleration of all the masses after the lower thread has been cut. The springs are massless, pulley is frictionless and massless. |
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Answer» Solution :Clearly `(m_1 + m_2) gt (m_3 + m_4)` . Let `T_1` be the tension in left SPRING and `T_2` that in right spring and T is tension in the string passing over the pulley . Then for equilibrium of system ![]() `T_1 =m_2g , T=(m_1 + m_2)G`...........(2) and `m_3g + T_2=T` From last equation `T_2 =T-m_3g=(m_1 + m_2-m_3)g` ........ (3) After the lower THREAD is cut off Equation of motion of mass `m_1` is `m_1g + T_1-T = m_2a_3` .......... (4) Equation of motion of mass `m_2` is `m_2g -T_1 = m_2a_2` ...........(5) Equation of motion mass ` m_3` is `m_3g + T_2 -T = m_1 a_1`............. (6) Equation of motion of mass `m_4` is `m_4g -T_2 =m_4a_4` ............. (7) Using (1) , (2) and (3) we get ` a_1= a_2 = a_3 =0` ` and a_4 = (m_4g -T_2)/( m_4) =(m_4g(m_1 + m_2 - m_3)g)/( m_4) = ((m_3 + m_4 - m_1 - m_2)g)/(m_4)` |
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| 36. |
The gravitational field in a region is given by vecE =(4hati+3hatj)N//Kg. The gravitational potential at the points (3m, 0 ) and (0, 4m). If the potential at the origin is taken by zero . |
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Answer» SOLUTION :`VECV=-(vecE.vecr)` At (3m,0) `vecV = - (4hati+3hatj).(3HATI)=-12J//Kg` At (0,4m) `vecV=-(4hati+3hatj).(4hatj)=-12J//Kg` |
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| 37. |
A ray of monochromatic light is incident on one refracting face of a prism of angle 75^@. IT passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the prism is sqrt2, the angle of incidence on the first face of the prism is |
| Answer» ANSWER :B | |
| 38. |
The mean radius of a wire is 2 mm. Which of the following measurements is most accurate? |
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Answer» 1.9 MM |
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| 39. |
A man standing on the edge of the roof of a 20 m tall building projects a ball of mass 200 g vertically up with a speed of 10 ms^(-1) and simultaneously throws another ball of same mass vertically down with the same speed. Find the kinetic energy of each ball when they reach the ground (g = 10 ms^(-2)). |
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| 40. |
How is average velocity different from instantaneous velocity ? |
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Answer» Solution : Average velocity:It is defined as RATIO `Deltax` displacement to the time interval `Deltat vecv_(x)=(Deltax)/(Deltat)-(x_(2)-x_(1))/(t_(2)-t_(1))` Average velocity is independent of the path followed by the particle between initial and final positions INSTANTANEOUS velocity: The velocity of a particle at a particular instant of time is KNOWN as instantaneous velocity i.e., `v_(x)=L_(Deltatrarr0)(Deltax)/(Deltat)=(dx)/(dt)` Instantaneous velocity is the RATE of CHANGE of position with time. |
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| 41. |
Two wires A and B have the same length and area of cross-secton. But Young's modulus of A is two times the Young's modulus of B. Then the ratio of force constant of A to that of B is |
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Answer» 1 |
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| 42. |
Classical physics is inadequate to deal with |
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Answer» RIGID bodies, deformable bodies, electrons |
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| 43. |
The nature of materials in mutual contact decides |
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Answer» `MUS ` |
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| 44. |
If the external force acting on a system of particle is zero then ………….. |
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Answer» `vec(a)_(cm)=0` `0=Mveca_(cm)` `therefore 0=veca_(cm)` |
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| 45. |
What is the excess of pressure inside the spherical drop of water of radius 1mm. Surface tension of water is 70xx10^(-3)N//m. |
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Answer» <P> SOLUTION :Radius of water drop, `R=1mm=1xx10^(-3)m`SURFACE tension of water, `S=70xx10^(-3)Nm^(-1)` EXCESS pressure inside the drop, `P=(2S)/(r)=(2xx70xx10^(-3))/(1xx10^(-3))=140Nm^(-2)`. |
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| 46. |
Graph shows a hypothetical speed distribution for a sample of N gas particle (for V gt V_(0), (dN)/(dV) = 0) |
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Answer» The value of `V_(0)` is `2N` |
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| 47. |
Which of the following represents a wave? |
| Answer» Answer :B | |
| 48. |
On a planet, a body is let fall freely from a height 8m reaches the ground in 2 sec. If the length of a simple pendulum is 1m on that planet, its time period is |
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Answer» 3.14sec |
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| 49. |
Mand M/sqrt(3) are the magnetic dipole moments of the two magnets, which are joined to form a cross figure. Find the inclination of the system with the field, if their combination is suspended freely in a uniform external magnetic field B. |
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Answer» `theta = 30^(@)` `""tau_(1)=MBsintheta` `"Similarly"tau_(2)=SQRT(3)MBsintheta` `therefore""theta=60^(@)` But for equilibrium,`tau_(1)=tau_(2)` `therefore ""MBsintheta=sqrt(3)MBcostheta` `""tan theta=sqrt(3)=tan60^(@)` `therefore""theta=60^(@)` |
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| 50. |
Four engines are working between Which one has maximum efficiency ? |
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Answer» 100 K and 80 K In all the given four cases, `T_(1) - T_(2) = 20 K` `:. eta` is highest when `T_(1)` is LOWEST. `:.` At option (b), 40 K and 20 K, has maximum efficiency. |
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