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. |
If →A=4^i−2^j+6^k and →B=^i−2^j−3^k the angle which →A−→B makes with x-axis is |
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Answer» If →A=4^i−2^j+6^k and →B=^i−2^j−3^k the angle which →A−→B makes with x-axis is |
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| 2. |
A triangle is constructed using the wires AB,BC & CA of same material and of resistance α,2α & 3α respectively. Another wire of resistance α/3 from A can make a sliding contact with wire BC. Find the maximum resistance of the network between point A and the point of contact of the sliding wire with BC. |
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Answer» A triangle is constructed using the wires AB,BC & CA of same material and of resistance α,2α & 3α respectively. Another wire of resistance α/3 from A can make a sliding contact with wire BC. Find the maximum resistance of the network between point A and the point of contact of the sliding wire with BC. |
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| 3. |
There is a sphere S and platform P as shown in fig. If →vc=4m/s^i,→ac=2m/s2^i,→vp=2m/s^i and →ap=1m/s2^i and sphere performs pure rolling on the platform, then find the acceleration of point Q which is in contact with the platform. [Radius of sphere = 2m] |
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Answer» There is a sphere S and platform P as shown in fig. If →vc=4m/s^i,→ac=2m/s2^i,→vp=2m/s^i and →ap=1m/s2^i and sphere performs pure rolling on the platform, then find the acceleration of point Q which is in contact with the platform. [Radius of sphere = 2m] |
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| 4. |
A sphere has only translational velocity V0=2rω when placed on rough horizontal surface with frictional coefficient μ. If r is radius then the time in which pure rolling starts is |
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Answer» A sphere has only translational velocity V0=2rω when placed on rough horizontal surface with frictional coefficient μ. If r is radius then the time in which pure rolling starts is |
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| 5. |
Magnetic field at point P at a distance d from vertex of infinite wire carrying current i as shown in figure is |
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Answer» Magnetic field at point P at a distance d from vertex of infinite wire carrying current i as shown in figure is |
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| 6. |
The maximum velocity of a harmonic oscillator is d and its maximum acceleration is β. Its time period will be |
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Answer» The maximum velocity of a harmonic oscillator is d and its maximum acceleration is β. Its time period will be |
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| 7. |
A stream line body with relative density ρ1 falls into air from a height h on the surface of a liquid of relative density ρ2, where ρ2>ρ1. The time of immersion of the body into the liquid will be: |
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Answer» A stream line body with relative density ρ1 falls into air from a height h on the surface of a liquid of relative density ρ2, where ρ2>ρ1. The time of immersion of the body into the liquid will be: |
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| 8. |
Figure shows a parabolic graph between T and 1V (T= temperature, V= volume) for a mixture of gases undergoing an adiabatic process. The ratio of rms velocity of molecules and speed of sound in the mixture of gases at the same temperature is given by √n. Find n. |
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Answer» Figure shows a parabolic graph between T and 1V (T= temperature, V= volume) for a mixture of gases undergoing an adiabatic process. The ratio of rms velocity of molecules and speed of sound in the mixture of gases at the same temperature is given by √n. Find n. |
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| 9. |
In a certain process, 400 cal of heat is supplied to a system and at the same time 105 J of mechanical work was done on the system. The increase in its internal energy is |
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Answer» In a certain process, 400 cal of heat is supplied to a system and at the same time 105 J of mechanical work was done on the system. The increase in its internal energy is |
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| 10. |
A wooden block performs SHM on a frictionless surface with frequency, v0. The block carries a charge + Q on its surface. If now a uniform electrical field E is switched on as shown, then the SHM of the block will be |
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Answer» A wooden block performs SHM on a frictionless surface with frequency, v0. The block carries a charge + Q on its surface. If now a uniform electrical field E is switched on as shown, then the SHM of the block will be
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| 11. |
The moment of inertia of a solid hemi-sphere of mass M and radius R about an axis passing through its center of mass and parallel to its circular face is |
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Answer» The moment of inertia of a solid hemi-sphere of mass M and radius R about an axis passing through its center of mass and parallel to its circular face is |
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| 12. |
An organic compound of formula C3H7N was analysed for nitrogen by dumas method calculate the volume of N2 gas evolved at NTP from 2g of substance |
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Answer» An organic compound of formula C3H7N was analysed for nitrogen by dumas method calculate the volume of N2 gas evolved at NTP from 2g of substance |
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| 13. |
Consider the system shown in figure. System is released from rest, find the tension (in Newton) in the cord connected between 1 kg and 2 kg blocks. (g=10ms2) |
Answer» Consider the system shown in figure. System is released from rest, find the tension (in Newton) in the cord connected between 1 kg and 2 kg blocks. (g=10ms2)
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| 14. |
The direction of →A×→B for the vectors shown in the figure is |
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Answer» The direction of →A×→B for the vectors shown in the figure is |
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| 15. |
Explain about modulation. |
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Answer» Explain about modulation. |
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| 16. |
A, B, C and D are four points such that −−→AB=m(2^i−6^j+2^k), −−→BC=(^i−2^j) and −−→CD=n(−6^i+15^j−3^k). If ^CD intersects −−→AB at some point E, then which of the following option(s) is/are correct? |
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Answer» A, B, C and D are four points such that −−→AB=m(2^i−6^j+2^k), −−→BC=(^i−2^j) and −−→CD=n(−6^i+15^j−3^k). If ^CD intersects −−→AB at some point E, then which of the following option(s) is/are correct? |
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| 17. |
In an isothermal reversible expansion, if the volume of 96 gm of oxygen at 27∘C is increased from 70 litres to 140 litres, then the work done by the gas will be |
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Answer» In an isothermal reversible expansion, if the volume of 96 gm of oxygen at 27∘C is increased from 70 litres to 140 litres, then the work done by the gas will be |
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| 18. |
In the figure shown below, →ω is angular velocity and →r is position vector. What is the direction and magnitude of linear velocity. |
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Answer» In the figure shown below, →ω is angular velocity and →r is position vector. What is the direction and magnitude of linear velocity. |
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| 19. |
A person A moving in a car with a speed of 10 m/s drops a stone of mass 10 gm. A person B on the ground measures the momentum of the stone 1 sec after the stone is dropped. Find the momentum (kg m/s) of the stone as measured by B. (Take g=10 m/s2) |
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Answer» A person A moving in a car with a speed of 10 m/s drops a stone of mass 10 gm. A person B on the ground measures the momentum of the stone 1 sec after the stone is dropped. Find the momentum (kg m/s) of the stone as measured by B. (Take g=10 m/s2) |
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| 20. |
A bullet of mass 10 g moving with a speed of 20 m/s hits an ice block of mass 990 g kept on a floor and gets stuck in it. How much ice will melt if 50% of the lost KE goes to ice? (initial temperature of the ice block and bullet = 0∘C) |
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Answer» A bullet of mass 10 g moving with a speed of 20 m/s hits an ice block of mass 990 g kept on a floor and gets stuck in it. How much ice will melt if 50% of the lost KE goes to ice? (initial temperature of the ice block and bullet = 0∘C) |
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| 21. |
A common emitter amplifier is designed with n-p-n transistor (α=0.99). The input impedance is 1kΩ and load is 10kΩ. The voltage gain will be |
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Answer» A common emitter amplifier is designed with n-p-n transistor (α=0.99). The input impedance is 1kΩ and load is 10kΩ. The voltage gain will be |
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| 22. |
A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R from the centre of the shell. The electric potential at the centre of shell will be times. |
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Answer» A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R from the centre of the shell. The electric potential at the centre of shell will be |
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| 23. |
What is the angle between minute hand and hour hand of a clock, when the time is 1:05 (in degree)? |
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Answer» What is the angle between minute hand and hour hand of a clock, when the time is 1:05 (in degree)? |
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| 24. |
Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC, right angled at B. The points A and B are maintained at temperatures T and √2T respectively. In the steady state, the temperature of point C is Tc. Assuming that only heat conduction takes place, the ratio TcT is |
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Answer» Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC, right angled at B. The points A and B are maintained at temperatures T and √2T respectively. In the steady state, the temperature of point C is Tc. Assuming that only heat conduction takes place, the ratio TcT is |
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| 25. |
Two elastic rods are joined between fixed supports as shown in the figure. If there is no change in the lengths of the individual rods with increase in temperature, then choose the correct option. [α1=2α2, Y1=Y2 (Y is Young's modulus, α is the linear expansion coefficient and A is the cross-sectional area of rod)] |
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Answer» Two elastic rods are joined between fixed supports as shown in the figure. If there is no change in the lengths of the individual rods with increase in temperature, then choose the correct option. |
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| 26. |
Molar specific heat at constant volume for a non-linear triatomic gas ( neglect vibration of molecules) is: |
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Answer» Molar specific heat at constant volume for a non-linear triatomic gas ( neglect vibration of molecules) is: |
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| 27. |
An electron and a photon have same wavelength. It p is the momentum of electron and E the energy of photon. The magnitude of p/ E in S.I. unit is |
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Answer» An electron and a photon have same wavelength. It p is the momentum of electron and E the energy of photon. The magnitude of p/ E in S.I. unit is |
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| 28. |
A body falls from a height h=200 m. The ratio of distance travelled in each 2 s, during t=0 to t=6 s of the journey is |
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Answer» A body falls from a height h=200 m. The ratio of distance travelled in each 2 s, during t=0 to t=6 s of the journey is |
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| 29. |
An insulating rod of length L carries a charge q distributed uniformly on it. The rod is pivoted at its mid-point and is rotated at a frequency f about a fixed axis perpendicular to the rod and passing through the pivot. The magnetic moment of the rod system is |
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Answer» An insulating rod of length L carries a charge q distributed uniformly on it. The rod is pivoted at its mid-point and is rotated at a frequency f about a fixed axis perpendicular to the rod and passing through the pivot. The magnetic moment of the rod system is |
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| 30. |
Which of one is correct |
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Answer» Which of one is correct |
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| 31. |
The figure shows a RC circuit with a parallel plate capacitor. Before switching on the circuit, plate A of the capacitor has a charge – Q0 while plate B has no net charge. Now, at t = 0, the circuit is switched on. How much time (in second) will elapse before the net charge on plate A becomes zero. Given (C=1μF,Q0=1mC, ε=1000 V and R=2×1061n3Ω) |
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Answer» The figure shows a RC circuit with a parallel plate capacitor. Before switching on the circuit, plate A of the capacitor has a charge – Q0 while plate B has no net charge. Now, at t = 0, the circuit is switched on. How much time (in second) will elapse before the net charge on plate A becomes zero. Given (C=1μF,Q0=1mC, ε=1000 V and R=2×1061n3Ω)
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| 32. |
A voltmeter connected to the terminals of battery reads 6 V initially. When the lamp is lighted with the battery, same voltmeter reads 4 V. If resistance of lamp is 10 Ω, resistance of battery in Ohms is |
Answer» A voltmeter connected to the terminals of battery reads 6 V initially. When the lamp is lighted with the battery, same voltmeter reads 4 V. If resistance of lamp is 10 Ω, resistance of battery in Ohms is |
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| 33. |
A varying force is given as F=⎧⎪⎨⎪⎩4 N0≤x≤66x N6<x≤103x2 N10<x≤20⎫⎪⎬⎪⎭ (where x is meters) Find the total work done by this force to displaces from x=4 to x=15 metres. |
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Answer» A varying force is given as |
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| 34. |
A Carnot engine absorbs Q1 amount of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T/3. The amount of heat rejected is |
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Answer» A Carnot engine absorbs Q1 amount of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T/3. The amount of heat rejected is |
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| 35. |
In a thermodynamic process, pressure of a fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat, when 8 J of work is done on the gas. If the initial internal energy of the gas was 30 J, then the final internal energy will be |
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Answer» In a thermodynamic process, pressure of a fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat, when 8 J of work is done on the gas. If the initial internal energy of the gas was 30 J, then the final internal energy will be |
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| 36. |
Given that →P+→Q+→R=0. Two out of the three vectors are equal in magnitude. The magnitude of the third vector is √2 times that of 1st and 2nd vector. Which of the following can be the angles between these vectors? |
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Answer» Given that →P+→Q+→R=0. Two out of the three vectors are equal in magnitude. The magnitude of the third vector is √2 times that of 1st and 2nd vector. Which of the following can be the angles between these vectors? |
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| 37. |
A particle travels according to the equation y=x−x22. Find the maximum height it achieves. |
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Answer» A particle travels according to the equation y=x−x22. Find the maximum height it achieves. |
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| 38. |
A marble with speed 20 cm/s rolls off the edge of a table 80 cm high. How far horizontally from the table edge does the marble strike the floor? (answer in cm and take g=10 m/s2) |
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Answer» A marble with speed 20 cm/s rolls off the edge of a table 80 cm high. How far horizontally from the table edge does the marble strike the floor? (answer in cm and take g=10 m/s2) |
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| 39. |
A particle moves in a circle of radius 0.5 m at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from 2.0 m/s to 4.0 m/s in 4.0 s. |
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Answer» A particle moves in a circle of radius 0.5 m at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from 2.0 m/s to 4.0 m/s in 4.0 s. |
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| 40. |
Consider a system of two particles having masses 2 kg and 4 kg. If the particle of mass 2 kg is pushed towards the centre of mass of the particles through a distance 2 m, by what distance would the particle of mass 4 kg move, so as to keep the centre of mass at the original position? |
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Answer» Consider a system of two particles having masses 2 kg and 4 kg. If the particle of mass 2 kg is pushed towards the centre of mass of the particles through a distance 2 m, by what distance would the particle of mass 4 kg move, so as to keep the centre of mass at the original position? |
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| 41. |
What are the conditions for simple harmonic motions? |
| Answer» What are the conditions for simple harmonic motions? | |
| 42. |
Two balls A and B are projected simultaneously as shown in the figure. Find the closest distance between the balls. |
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Answer» Two balls A and B are projected simultaneously as shown in the figure. Find the closest distance between the balls. |
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| 43. |
The root mean square speed of a gas molecule at 20 ∘C is v. If the temperature of the gas is raised by 10 ∘C, then the root mean square speed of the gas molecule will be nv where n is [Answer upto two decimal places] |
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Answer» The root mean square speed of a gas molecule at 20 ∘C is v. If the temperature of the gas is raised by 10 ∘C, then the root mean square speed of the gas molecule will be nv where n is [Answer upto two decimal places] |
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| 44. |
The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown. The coefficient of friction between the box & the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with 2 ms−2. At what distance from the starting point does the box fall off the truck (i.e. distance travelled by the truck)? [Ignore the size of the box] |
Answer» The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown. The coefficient of friction between the box & the surface below it is 0.15. On a straight road, the truck starts from rest and accelerates with 2 ms−2. At what distance from the starting point does the box fall off the truck (i.e. distance travelled by the truck)? [Ignore the size of the box]
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| 45. |
A person measures the time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration of g/3, the time period of the pendulum will be |
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Answer» A person measures the time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration of g/3, the time period of the pendulum will be |
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| 46. |
Four persons A,B,C and D at the corners of a square of side X start moving at a constant speed V. Each person maintains a direction towards the person at the next corner. The time the persons take to meet each other is |
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Answer» Four persons A,B,C and D at the corners of a square of side X start moving at a constant speed V. Each person maintains a direction towards the person at the next corner. The time the persons take to meet each other is |
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| 47. |
Four point charges qA=2μC, qB=−5μC, qC=2μC, and qD=−5μC are located at the corners of a square ABCD of side 10cm. What is the force on a charge of 1μC placed at the centre of the square? |
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Answer» Four point charges qA=2μC, qB=−5μC, qC=2μC, and qD=−5μC are located at the corners of a square ABCD of side 10cm. What is the force on a charge of 1μC placed at the centre of the square? |
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| 48. |
For the circuit shown in the figure, initially the switch is closed for a long time so that steady state has been reached. Then at t=0, the switch is opened, due to which current in the circuit decays to zero. The heat generated in the inductor is [L = self inductance of inductor, r = resistance of inductor] : |
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Answer» For the circuit shown in the figure, initially the switch is closed for a long time so that steady state has been reached. Then at t=0, the switch is opened, due to which current in the circuit decays to zero. The heat generated in the inductor is [L = self inductance of inductor, r = resistance of inductor] :
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| 49. |
In a U - tube the radii of two columns are respectively r1 and r2. When a liquid of density ρ(θ=0∘) is filled in it, a level difference of h is observed on two arms, then the surface tension of the liquid is |
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Answer» In a U - tube the radii of two columns are respectively r1 and r2. When a liquid of density ρ(θ=0∘) is filled in it, a level difference of h is observed on two arms, then the surface tension of the liquid is |
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| 50. |
In a binary star system, two stars of masses m and 2m distance r apart are revolving about their common centre of mass under their mutual gravitational attraction. The ratio of angular momenta of two star about centre of mass is |
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Answer» In a binary star system, two stars of masses m and 2m distance r apart are revolving about their common centre of mass under their mutual gravitational attraction. |
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