Electric Power and Household Electricity
1) An Electric heater is rated 500 kVA, 200V. If the heater is operated for 1 hour, calculate the energy consumed
A) in kWh . 500 kWh
B) in Joule. 1.8 x 10⁹ J
2) Convert 1 kWh into joule.
Ans) 1 kWh= 1000W x 3600
= 3.6 x 10⁶ J
3) An electric bulb is marked 200V - 100 W. The bulb is connected to a 220 V supply.
Calculate
A) the resistance of the filament. 484
B) current flowing through the filament. 0.454 A
C) is the filament resistance of the glowing bulb greater, smaller or same as compared to its resistance when it is not glowing ?
Ans) The filament resistance of the 'on' bulb is greater because it is at a higher temperature when it is 'on' as resistance of material is known to increase with an increase in temperature.
4) A refrigerator is marked 80W, 220V.
A) How much energy does it consume in one day if on an average it is used for 20 hours a day ? 1.6 kWh
B) What is likely to happen if the voltage drops to 50 V.
Ans) If voltage drops a large current will flow through it and damage the refrigerator.
5) What quantity of heat will be produced in a coil of resistance 80 ohm if current of 3 A is passed through it for 4 second. 2880 J
6) Calculate the electrical energy in SI units consumed by a 100 W bulb and a 60 W fan connected in parallel in 5 minutes. 48000 J
7) A family uses a light bulb of 100 W, a fan of 100 W and electric heater of 1000 W each for 8 hours daily. If the cost of electricity is ₹2.00 per unit, What is the expenditure for the family per day on electricity ? ₹19.60p
8) A bulb is marked 100 W,to 220V and an electric heater is Marked 2000 W, 220 V
A) what is the rat ratio of their resistances? 20
B) In which of the above thicker connecting wire or lead is required ?
Ans) The currents, flowing through the bulb and the heater, are (100/220) ampere and (200/220) ampere respectively. Thus the current, through the heater, is as much as 20 times than that through the bulb. Therefore, a thicker connecting, wire, or lead, will be required for the electric heater.
9) A geyser has a label 2kW, 240 V, What is the cost of running it for 30 minutes, if the cost of electricity is ₹3.00 per unit ? ₹3.00
10) Two fuse wires of the same length are rated 5 A and 20 A. Which of the two fuse wires is thicker and why ?
Ans) The fuse wire related to 20A would be the thicker of the two. The thicker wire (for the same length and material) would have a lower resistance than the thin wire. It will, therefore, produce less heat for a given current. it can, therefore, carry much larger current through it before melting down.
11) An electric kettle is rated 2.5 kW, 250V. Find the cost of running the kettle for two hours at 60 paise per unit. ₹3.00
12) An electrical appliance is rated 1500W, 250V. This appliance is connected to 250 V mains. Calculate:
A) the current drawn. 6A
B) the electrical energy consumed in 60 hours. 90 kWh
C) the cost of electrical energy consumed at ₹ 2.50 per kWh. ₹225
13) What is the resistance of 1000W, 220 V toaster ? 48.4 ohm
14) What is the commercial unit of electrical energy ? Convert it into joule. What is the other name of the commercial unit ?
Ans) The commercial unit of electrical energy kilowatt-hour (kWh).
1 kWh = 1kW x 1 hour
= 1000W x 3600s
= 1000 J/s x 3600 s
= 3.6 x 10⁶J
It is also called Board of trade unit (B.O.T.U)
15) What is the resistance of an electrical arc lamp, if the lamp uses 20A when connected to 220 volt line ? 11 ohm
SOUND
1) If the sound takes 2 seconds to reach the boatman, approximately how much time does it take to reach the driver ? (v= 1450 m/s). 0.95s
2) A person standing between two vertical cliffs and 640m away from the nearest cliffs shouted. He heard the first echo after 4 second and the second echo 3 second later. Calculate
A) the velocity of sound in air. 320m/s
B) the distance between the cliffs. 1760 m
3) Radioa waves of speed 3 x 10⁸ m/s are reflected off the moon and received back on the earth, the time elapsed between the sending of the signal and receiving it back on the Earth's surface is 2.5 seconds. What is the distance of the Moon from the Earth ? 3.75x 10⁸ m/s
4) An observer stands at a distance of 850 m from the cliff and fires a gun. After what time gap will he hear the echo, if sound travels at a speed of 350 m/s in air ? 4.86s
5) A radar is able to detect the reflected waves from an enemy aeroplane, after a time interval of 0.02 milliseconds. If the velocity of the waves is 3 x 10⁸ m/s, calculate the distance of the plane from the radar. 3km.
6) An observer, situated between two parallel cliffs, emits an intense sound note. Two successive echoes are then heard after 5s and 7s. Calculate the distance between the cliffs (velocity of sound = 340 m/s). 2040m
7) A person standing between two cliffs and 640 away from the nearest cliff produces a strong sound. He gets the first echo after 4 second and the second echo 3 second later. Find
A) the velocity of sound in air. 320 m/sec
B) The distance between the cliffs. 1760 m
8) A radio signal, sent towards the surface of the Moon, is received back on the earth after 1.5 seconds. If the speed of the radio waves is 3 x 10⁸ m/s, find the distance of the Moon from the Earth. 2.25x 10⁸ m
9) Radio waves of speed 3x 10⁸ are reflected off the moon and received back on earth. The time elapsed between the sending of the signal and receiving it back at the earth station is 2.5 secs. What is the distance of the Moon from the Earth ? 3.75x 10⁸m
10) An observer stands at a distance of 850m from a cliff and fires a gun. After what time-gap will he hear the echo, if sound travels at a speed of 350 m/s in air ? 4.86s
MACHINES
1) A cook uses a 'fire tong' of length 28 cm to lift a piece of burning coal of mass 250g. If he applies his effort at a distance 7cm from the fulcrum, what is the effort in SI unit. g= 10ms². 10N
2) A woman draws water from a well using a fixed pulley. The mass of the bucket and water together is 6.0 kg. The force applied by the woman is 70 N. Find the MA. g= 10m/s². 0.86
3) The mechanical advantages of a machine is 5 and its efficiency is 80%. It is used to lift a load of 200 kgf to a height of 20 m. Calculate
A) the effort required. 40 kgf
B) the work done on the machine. 50000 J
4) In a single movable police system a load of 250 kgf is lifted by an effort of 150 kgf. Find the percentage efficiency of system. 83.3%
5) A crow bar of length 100 cm is used to lift a load of 10 kgf. It has its fulcrum at a distance of 25 cm from the load. calculate
A) the mechanical advantage of crow bar. 3
B) the effort applied at the other end. 3.33 kgf
6) A cook used a 'fire tong pair' of length 32 cm to lift a piece of burning coal of mass 500g. If he applies his effort at a distance of 8 cm, from the fulcrum, what is his effort ? Assume friction, etc., to be absent. Also, obtaine values of the MA and the VR of this machine. 2 kgf, 0.25, 0.25
7) A simple machine enables us to lift a load of 10000N by the application of an effort of 500 N. However, when the point of application the effort moves through 2.5m, the load gets raised through 10 cm only. What are the values of the
A) MA, 20
B) VR, 25
C) efficiency of the machine ? 80%
8) In a single movable system, a load of 125 kgf is lifted by an effort of 75 kgf, if velocity ratio of this pulley is 2, find
A) MA. 5/3
B) efficiency. 83.3%
9) Find the effort required to lift a stone of mass 120kg with the help of a lever 1.5 m long, If the lever arm the 0.3 m. g= 10 ms². 300 N
10) Find the mechanical advantage of a lever in which the load arm is 2 cm and the effort arm is 30 cm. 15
11) A machine is operated by an effort of 80 N acting downward and moving through a downward displacement of 0.15m. The load of mass 10 kg, is raised up by 10 cm. Calculate the
A) MA. 1.25
B) VR. 1.5
C) work input. 12 J
D) useful work output. 10 J
E) efficiency. 83 3%
12) A woman applies a force of 60 N to draw a 5 kg bucket of water from a well, asuming a fixed Pulley. Assuming that all the extra force applied is to overcome frictional forces, calculate the force of friction, MA and efficiency. 10N, 0.83, 0.83,
13) An effort of 10 N is applied at the free end of the string passing on a single movable Pulley system with a L attached to it. The weight of the movable pulley is 3 N. The frictional forces are negligible.
A) calculate the mass of the Lord being raised. 1.7 N
14) A worker is pushing a box weighing 1500 N up a ramp 6.00 m long onto a platform 1.5m above the ground ? What is the mechanical advantages and what is the effort applied ? 4, 375 N
15) An effort of 6 kgf is applied on a machine through a displacement of 90 cm, when a load of 100kgf moves through a distance the 4cm. calculate
A) velocity ratio. 22.5
B) MA. 16.66
C) % of efficiency. 74%
16) Calculate the MA of a lever in which the effort arm is 30cm and the load arm is 7.5 cm
17) A long rod of length 100cm has its fulcrum situated at a distance of 10 cm from the load. Calculate the MA of the rod. 9
18) A pulley system lifts a load of 600 N by an effort of 200 N. If the resistance due to movable parts of machine and function is 400 N, find
A) number of pulley in system. 5
B) efficiency. 60%