Q. In triangle PQR, if PQ = 10 cm, QR = 24 cm, and PR = 26 cm, what is the area of the triangle?
A.
120 cm²
B.
120√3 cm²
C.
240 cm²
D.
48 cm²
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Solution
Using Heron's formula, s = (10 + 24 + 26)/2 = 30. Area = √(30(30-10)(30-24)(30-26)) = √(30*20*6*4) = 120 cm².
Correct Answer: A — 120 cm²
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Q. In triangle XYZ, if XY = 8 cm, YZ = 15 cm, and XZ = 17 cm, is it a right triangle?
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if XY is the hypotenuse
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Solution
Since 8^2 + 15^2 = 17^2, triangle XYZ is a right triangle.
Correct Answer: A — Yes
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Q. In uniform circular motion, which of the following quantities remains constant?
A.
Speed
B.
Velocity
C.
Acceleration
D.
Centripetal force
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Solution
In uniform circular motion, the speed remains constant, but velocity and acceleration change direction.
Correct Answer: A — Speed
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Q. In uniform circular motion, which of the following statements is true?
A.
Velocity is constant
B.
Acceleration is zero
C.
Speed is constant
D.
Net force is zero
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Solution
In uniform circular motion, speed is constant but velocity changes due to direction change.
Correct Answer: C — Speed is constant
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Q. In which condition does a real gas behave most like an ideal gas?
A.
High pressure and low temperature
B.
Low pressure and high temperature
C.
High pressure and high temperature
D.
Low pressure and low temperature
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Solution
A real gas behaves most like an ideal gas under low pressure and high temperature conditions.
Correct Answer: B — Low pressure and high temperature
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Q. In which condition does the ideal gas law fail?
A.
High temperature and low pressure
B.
Low temperature and high pressure
C.
High volume
D.
Low volume
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Solution
The ideal gas law fails under low temperature and high pressure conditions, where gas particles are close together and intermolecular forces become significant.
Correct Answer: B — Low temperature and high pressure
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Q. In which direction does the magnetic field point due to a current flowing in a straight wire?
A.
Parallel to the wire
B.
Perpendicular to the wire
C.
Radially inward
D.
Radially outward
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Solution
The magnetic field lines around a straight wire are concentric circles, which are perpendicular to the wire.
Correct Answer: B — Perpendicular to the wire
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Q. In which direction does the magnetic field point in relation to the current in a straight conductor?
A.
Parallel to the current
B.
Perpendicular to the current
C.
Opposite to the current
D.
In the same direction as the current
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Solution
The magnetic field around a straight conductor is always perpendicular to the direction of the current.
Correct Answer: B — Perpendicular to the current
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Q. In which direction does the magnetic field point inside a bar magnet?
A.
From south to north
B.
From north to south
C.
In a circular path
D.
It has no direction
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Solution
The magnetic field inside a bar magnet points from the north pole to the south pole.
Correct Answer: B — From north to south
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Q. In which direction does the magnetic field point inside a current-carrying loop?
A.
Out of the plane
B.
Into the plane
C.
Clockwise
D.
Counterclockwise
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Solution
Using the right-hand rule, the magnetic field inside a current-carrying loop points into the plane of the loop.
Correct Answer: B — Into the plane
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Q. In which medium does sound travel fastest?
A.
Air
B.
Water
C.
Steel
D.
Vacuum
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Solution
Sound travels fastest in solids like steel due to closely packed molecules.
Correct Answer: C — Steel
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Q. In which mode of heat transfer does the temperature difference drive the flow of heat?
A.
Conduction
B.
Convection
C.
Radiation
D.
Insulation
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Solution
Convection is the mode of heat transfer where the temperature difference causes the fluid to move, transferring heat.
Correct Answer: B — Convection
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Q. In which mode of heat transfer does the transfer of energy occur through electromagnetic waves?
A.
Conduction
B.
Convection
C.
Radiation
D.
Insulation
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Solution
Radiation is the mode of heat transfer that occurs through electromagnetic waves, such as infrared radiation.
Correct Answer: C — Radiation
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Q. In which of the following cases does a material exhibit plastic deformation?
A.
When the stress is below the yield point
B.
When the stress exceeds the yield point
C.
When the material is unloaded
D.
When the material is cooled
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Solution
Plastic deformation occurs when the stress exceeds the yield point.
Correct Answer: B — When the stress exceeds the yield point
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Q. In which of the following cases does the mesomeric effect dominate over the inductive effect?
A.
Aromatic compounds
B.
Aliphatic compounds
C.
Alkynes
D.
Alkenes
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Solution
In aromatic compounds, the mesomeric effect dominates due to resonance stabilization.
Correct Answer: A — Aromatic compounds
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Q. In which of the following cases is the magnetic field zero?
A.
At the center of a current-carrying loop
B.
Inside a solenoid with no current
C.
Near a straight wire carrying current
D.
At the midpoint between two parallel wires carrying equal currents in opposite directions
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Solution
The magnetic field is zero at the midpoint between two parallel wires carrying equal currents in opposite directions.
Correct Answer: D — At the midpoint between two parallel wires carrying equal currents in opposite directions
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Q. In which of the following compounds does the central atom exhibit dsp3 hybridization?
A.
PCl5
B.
SF6
C.
XeF4
D.
NH3
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Solution
In PCl5, phosphorus exhibits dsp3 hybridization, forming five P-Cl bonds.
Correct Answer: A — PCl5
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Q. In which of the following compounds does the central atom exhibit sp hybridization?
A.
C2H4
B.
N2
C.
HCl
D.
C2H2
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Solution
In C2H2, the carbon atoms are sp hybridized, forming a triple bond between them.
Correct Answer: D — C2H2
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Q. In which of the following compounds does the central atom have an incomplete octet?
A.
BF3
B.
CH4
C.
H2O
D.
NH3
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Solution
Boron trifluoride (BF3) has an incomplete octet as boron only has six electrons in its valence shell.
Correct Answer: A — BF3
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Q. In which of the following compounds does the central atom have sp3d hybridization?
A.
PCl5
B.
SiCl4
C.
XeF4
D.
NH4Cl
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Solution
In PCl5, the phosphorus atom is sp3d hybridized, allowing it to form five P-Cl bonds.
Correct Answer: A — PCl5
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Q. In which of the following compounds does the inductive effect play a significant role?
A.
Benzene
B.
Acetic acid
C.
Cyclohexane
D.
Ethylene
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Solution
In acetic acid, the inductive effect of the –COOH group influences the acidity of the compound.
Correct Answer: B — Acetic acid
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Q. In which of the following compounds is the bond order equal to 1?
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Solution
H2 has a bond order of 1, indicating a single bond between the two hydrogen atoms.
Correct Answer: C — H2
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Q. In which of the following conditions does a gas deviate most from ideal behavior?
A.
High temperature and low pressure
B.
Low temperature and high pressure
C.
High temperature and high pressure
D.
Low temperature and low pressure
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Solution
A gas deviates most from ideal behavior at low temperatures and high pressures due to increased intermolecular forces.
Correct Answer: B — Low temperature and high pressure
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Q. In which of the following materials does heat transfer occur primarily through conduction?
A.
Metal
B.
Water
C.
Air
D.
Vacuum
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Solution
Heat transfer through conduction occurs primarily in solids, especially metals.
Correct Answer: A — Metal
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Q. In which of the following molecules does the molecular orbital configuration lead to paramagnetism?
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Solution
O2 is paramagnetic due to the presence of two unpaired electrons in its molecular orbitals.
Correct Answer: B — O2
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Q. In which of the following molecules does the molecular orbital configuration show unpaired electrons?
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Solution
O2 has two unpaired electrons in its π* orbitals, making it paramagnetic.
Correct Answer: B — O2
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Q. In which of the following molecules does the molecular orbital diagram show a paramagnetic behavior?
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Solution
O2 is paramagnetic due to the presence of two unpaired electrons in its molecular orbitals.
Correct Answer: B — O2
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Q. In which of the following molecules does the molecular orbital theory predict a paramagnetic behavior?
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Solution
O2 is paramagnetic due to the presence of two unpaired electrons in its molecular orbitals.
Correct Answer: B — O2
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Q. In which of the following molecules does the molecular orbital theory predict a triple bond?
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Solution
N2 has a triple bond, with a bond order of 3 according to molecular orbital theory.
Correct Answer: A — N2
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Q. In which of the following orbitals would an electron have the highest energy?
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Solution
The 3s orbital has the highest principal quantum number (n=3), indicating it has the highest energy.
Correct Answer: D — 3s
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