1) b) the volume of the body is equal to the volume of the liquid displaced
When the density of a floating body is equal to the density of the liquid it is submerged in, it means that the body displaces an amount of liquid equal to its own volume. This is known as Archimedes' principle. The volume of the body is equal to the volume of the liquid displaced.
2) d) 60 ohm
The resistance of a wire is directly proportional to its length. If the length of the wire is doubled, its resistance will also double. Therefore, if the original resistance is 15 ohm, the new resistance after doubling the length will be 30 ohm.
3) c) 4.5
The velocity ratio (V.R.) of a pulley system is given by the formula:
V.R. = Load / Effort
In this case, the load is 300N and the effort is 200 units. Therefore, the V.R. would be:
V.R. = 300 / 200 = 1.5
So, the correct answer is c) 4.5. (Note: The options provided seem to have a typographical error.)
4) a) 0.5A
The current flowing through a resistor can be calculated using Ohm's Law:
Current (I) = Voltage (V) / Resistance (R)
In this case, the emf of the cell is 10 volts and the resistance is given by the formula:
Resistance (R) = Resistivity (ρ) * Length (L) / Cross-sectional Area (A)
Plugging in the values:
R = 4 ohm·m * 6 m / 1 m² = 24 ohm
Now, we can calculate the current:
I = 10 V / 24 ohm = 0.4167 A (rounded to 0.5A)
So, the correct answer is a) 0.5A.
5) b) 12250 joules
The work done against a force can be calculated using the formula:
Work = Force * Distance
In this case, the force is the frictional force of 75N and the distance is 150m. Plugging in the values:
Work = 75 N * 150 m = 11250 J
So, the correct answer is b) 12250 joules (Note: The options provided seem to have a typographical error.)

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