Q. In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
A.1
B.0.5
C.0.25
D.0.75
Solution
If a student is not a girl, they must be a boy. Therefore, P(Boy | Not Girl) = 15/15 = 1.
Q. In a class of 40 students, 25 are taking Mathematics, 15 are taking Physics, and 10 are taking both. What is the probability that a student is taking Physics given that they are taking Mathematics?
Q. In a closed loop circuit, if the sum of the currents entering a junction is 10A and the sum of the currents leaving the junction is 6A, what is the current flowing through the junction?
A.4A
B.6A
C.10A
D.16A
Solution
According to Kirchhoff's current law, the current flowing into the junction must equal the current flowing out. Therefore, 10A - 6A = 4A is the current flowing through the junction.
Q. In a closed loop circuit, if the sum of the voltage rises is 10V and the sum of the voltage drops is 6V, what is the net voltage in the loop according to Kirchhoff's Voltage Law?
A.4V
B.6V
C.10V
D.16V
Solution
According to Kirchhoff's Voltage Law, the net voltage in the loop is the sum of rises minus the sum of drops: 10V - 6V = 4V.
Q. In a closed loop circuit, if the sum of the voltage rises is 20V and the sum of the voltage drops is 15V, what is the net voltage in the loop according to Kirchhoff's Voltage Law?
A.5V
B.15V
C.20V
D.35V
Solution
According to Kirchhoff's Voltage Law, the net voltage in the loop is the sum of voltage rises minus the sum of voltage drops: 20V - 15V = 5V.
Q. In a closed loop, if the net current is zero, what can be said about the magnetic field according to Ampere's Law?
A.The magnetic field is zero everywhere
B.The magnetic field is uniform
C.The magnetic field can be non-zero
D.The magnetic field is only zero at the center
Solution
According to Ampere's Law, if the net current through a closed loop is zero, the line integral of the magnetic field around that loop is also zero, but the magnetic field can still be non-zero in some regions.
Correct Answer: C — The magnetic field can be non-zero
Q. In a closed system at equilibrium, if the pressure is increased, what will happen to the equilibrium position if there are more moles of gas on the reactant side?
A.Shift to the right
B.Shift to the left
C.No change
D.Increase in temperature
Solution
Increasing the pressure will shift the equilibrium to the side with fewer moles of gas, which in this case is the right side.
Q. In a closed system, if the temperature of an ideal gas is doubled while keeping the volume constant, what happens to the pressure?
A.It doubles
B.It halves
C.It remains the same
D.It quadruples
Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
Q. In a closed system, if the temperature of an ideal gas is doubled while the volume remains constant, what happens to the pressure?
A.It doubles
B.It halves
C.It remains the same
D.It quadruples
Solution
According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume. Therefore, if the temperature doubles, the pressure also doubles.
