Question types

Thermal and Chemical Effect of Current question types

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Sample Questions

Thermal and Chemical Effect of Current questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Consider the situation shown in figure. The width of each plate is b. The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf $\in.$ All surfaces are frictionless. Calculate the value of M for which the dielectric slab will stay in equilibrium.

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Apply the first law of thermodynamics to a resistor carrying a current i. Identify which of the quantities $\Delta\text{Q},\ \Delta\text{U}$ and $\Delta\text{W}$ are zero, which are positive and which are negative.
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Find the thermo-emf developed in a copper-silver thermocouple when the junctions are kept at 0°C and 40°C. Use the data in table.
 
Metal with
a
b
lead (Pb)
$\mu\text{V}/^\circ\text{C}$
$\mu\text{V}/^\circ(\text{C})^2$
Aluminium
-0.47
0.003
Bismuth
-43.7
-0·47
Copper
2.76
0·012
Gold
2.90
0.0093
Iron
16.6
-0.030
Nickel
19.1
-0.030
Platinum
-1.79
-0.035
Silver
2.50
0.012
Steel
10.8
-0.016
 
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Find the neutral temperature and inversion temperature of a copper-iron thermocouple if the reference junction is kept at 0°C. Use the data in the table.
 
Metal with
a
b
lead (Pb)
$\mu\text{V}/^\circ\text{C}$
$\mu\text{V}/^\circ(\text{C})^2$
Aluminium
-0.47
0.003
Bismuth
-43.7
-0·47
Copper
2.76
0·012
Gold
2.90
0.0093
Iron
16.6
-0.030
Nickel
19.1
-0.030
Platinum
-1.79
-0.035
Silver
2.50
0.012
Steel
10.8
-0.016
 
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A plate of area 10cm2 is to be electroplated with copper (density 9000kg/m3) to a thickness of 10 micrometres on both sides, using a cell of 12V. Calculate the energy spent by the cell in the process of deposition. If this energy is used to heat 100g of water, calculate the rise in the temperature of the water. ECE of copper = 3 × 10-7kg C-1 and specific heat capacity of water = 4200Jkg-1.
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A coil of resistance $100\Omega$ is connected across a battery of emf 6.0V. Assume that the heat developed in the coil is used to raise its temperature. If the heat capacity of the coil is 4.0J/K, how long will it take to raise the temperature of the coil by 15°C?
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An electric bulb, when connected across a power supply of 220V, consumes a power of 60W. If the supply drops to 180V, what will be the power consumed? If the supply is suddenly increased to 240V, what will be the power consumed?
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Q 103 Marks Question3 Marks
The specification on a heater coil is 250V, 500W. Calculate the resistance of the coil. What will be the resistance of a coil of 1000W to operate at the same voltage?
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The coil of an electric bulb takes 40 watts to start glowing. If more than 40W is supplied, 60% of the extra power is converted into light and the remaining into heat. The bulb consumes 100W at 220V. Find the percentage drop in the light intensity at a point if the supply voltage changes from 220V to 200V.
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A bulb with rating 250V, 100W is connected to a power supply of 220V situated 10m away using a copper wire of area of cross-section 5mm2. How much power will be consumed by the connecting wires? Resistivity of copper $1.7\times10^{-8}\Omega-\text{m}$.
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A heater coil is to be constructed with a nichrome wire $(\rho=1.0\times10^{-6}\Omega-\text{m})$which can operate at 500W when connected to a 250V supply.
  1. What would be the resistance of the coil?
  2. If the cross-sectional area of the wire 0.5mm2, what length of the wire will be needed?
  3. If the radius of each turn is 4.0mm, how many turns will be there in the coil?
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