Medical Entrance
Q. A ray of light passes through the center of curvature of a concave mirror. What will be the nature of the image formed? (2020)
A.
Real and inverted
B.
Virtual and erect
C.
Real and erect
D.
Virtual and inverted
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Solution
When a ray passes through the center of curvature, it reflects back on itself, forming a real and inverted image at the same distance as the object.
Correct Answer: A — Real and inverted
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Q. A spring is compressed by 0.2 m and has a spring constant of 500 N/m. What is the potential energy stored in the spring? (2023)
A.
10 J
B.
5 J
C.
20 J
D.
2 J
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Solution
Potential Energy in Spring (PE) = 1/2 kx^2 = 1/2 * 500 N/m * (0.2 m)^2 = 10 J
Correct Answer: A — 10 J
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Q. A tuning fork vibrates at a frequency of 440 Hz. What is the time period of its vibration? (2020)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
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Solution
Time period (T) = 1 / frequency = 1 / 440 Hz ≈ 0.00227 s
Correct Answer: A — 0.00227 s
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Q. A tuning fork vibrates at a frequency of 440 Hz. What is the time period of the tuning fork? (2020)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
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Solution
Time period (T) = 1 / frequency = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer: A — 0.00227 s
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Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2021)
A.
25 m/s
B.
50 m/s
C.
100 m/s
D.
200 m/s
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Solution
The speed of a wave is given by the formula v = fλ. Here, v = 50 Hz * 2 m = 100 m/s.
Correct Answer: B — 50 m/s
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Q. A wire of length L and diameter d is stretched by a force F. If the diameter is halved while keeping the length constant, what happens to the stress? (2020)
A.
It doubles
B.
It quadruples
C.
It halves
D.
It remains the same
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Solution
Stress = Force / Area. Halving the diameter increases the area by a factor of 1/4, thus stress quadruples.
Correct Answer: B — It quadruples
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Q. A wire of length L and diameter d is stretched by a force F. What is the expression for the elongation of the wire? (2020)
A.
(F * L) / (A * Y)
B.
(F * Y) / (A * L)
C.
(Y * A) / (F * L)
D.
(L * d) / (F * Y)
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Solution
Elongation (ΔL) = (F * L) / (A * Y), where A is the cross-sectional area and Y is Young's modulus.
Correct Answer: A — (F * L) / (A * Y)
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Q. According to Bernoulli's equation, an increase in the speed of a fluid occurs simultaneously with a: (2020)
A.
Increase in pressure
B.
Decrease in pressure
C.
Increase in temperature
D.
Decrease in density
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Solution
Bernoulli's equation states that an increase in the speed of a fluid results in a decrease in pressure.
Correct Answer: B — Decrease in pressure
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Q. According to Bernoulli's principle, an increase in the speed of a fluid occurs simultaneously with a: (2020)
A.
Increase in pressure
B.
Decrease in pressure
C.
Increase in temperature
D.
Decrease in density
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Solution
Bernoulli's principle states that an increase in the speed of a fluid results in a decrease in pressure.
Correct Answer: B — Decrease in pressure
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Q. According to Bernoulli's principle, an increase in the speed of a fluid occurs simultaneously with a decrease in:
A.
Pressure
B.
Temperature
C.
Density
D.
Viscosity
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Solution
Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure.
Correct Answer: A — Pressure
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Q. An object is in equilibrium under the action of three forces: 10 N, 15 N, and 20 N. What is the resultant force acting on the object? (2019)
A.
0 N
B.
5 N
C.
10 N
D.
15 N
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Solution
In equilibrium, the resultant force is 0 N.
Correct Answer: A — 0 N
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Q. Calcium is important for which of the following processes in plants? (2020)
A.
Nutrient transport
B.
Cell division
C.
Photosynthesis
D.
Respiration
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Solution
Calcium is vital for cell division and is a key component of cell walls, providing structural stability.
Correct Answer: B — Cell division
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Q. Calcium is primarily involved in which of the following processes? (2020)
A.
Photosynthesis
B.
Cell wall stability
C.
Nutrient transport
D.
Respiration
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Solution
Calcium is crucial for maintaining cell wall stability and structure in plants.
Correct Answer: B — Cell wall stability
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Q. Deficiency of which nutrient causes chlorosis in plants? (2022)
A.
Nitrogen
B.
Phosphorus
C.
Potassium
D.
Calcium
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Solution
Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.
Correct Answer: A — Nitrogen
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Q. During inhalation, the pressure in the thoracic cavity: (2022)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Fluctuates
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Solution
During inhalation, the diaphragm contracts, increasing the volume of the thoracic cavity and decreasing the pressure, allowing air to flow in.
Correct Answer: B — Decreases
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Q. During which phase of mitosis do the chromosomes align at the cell's equatorial plane? (2021)
A.
Prophase
B.
Metaphase
C.
Anaphase
D.
Telophase
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Solution
During metaphase, chromosomes align at the metaphase plate, preparing for separation.
Correct Answer: B — Metaphase
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Q. During which phase of the menstrual cycle does ovulation occur? (2020)
A.
Follicular phase
B.
Luteal phase
C.
Menstrual phase
D.
Ovulatory phase
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Solution
Ovulation occurs during the ovulatory phase of the menstrual cycle when an egg is released from the ovary.
Correct Answer: D — Ovulatory phase
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Q. During which phase of the menstrual cycle does the endometrium thicken? (2020)
A.
Follicular phase
B.
Ovulation phase
C.
Luteal phase
D.
Menstrual phase
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Solution
The endometrium thickens during the luteal phase of the menstrual cycle in preparation for a potential pregnancy.
Correct Answer: C — Luteal phase
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Q. Ethylene is produced in response to which of the following conditions? (2023)
A.
High light intensity
B.
Low oxygen levels
C.
High humidity
D.
Low temperature
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Solution
Ethylene is produced in response to low oxygen levels, particularly during stress conditions like flooding.
Correct Answer: B — Low oxygen levels
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Q. For the equilibrium reaction 2SO2(g) + O2(g) ⇌ 2SO3(g), what is the effect of decreasing the volume of the container? (2021)
A.
Shift to the left
B.
Shift to the right
C.
No effect
D.
Increase in temperature
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Solution
Decreasing the volume increases the pressure, and according to Le Chatelier's principle, the equilibrium will shift towards the side with fewer moles of gas, which is the right side in this case.
Correct Answer: B — Shift to the right
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Q. For the reaction N2(g) + 3H2(g) ⇌ 2NH3(g), what is the expression for the equilibrium constant Kp? (2020)
A.
(P_NH3)^2 / (P_N2)(P_H2)^3
B.
(P_N2)(P_H2)^3 / (P_NH3)^2
C.
(P_NH3)^2 (P_N2)(P_H2)^3
D.
(P_N2)(P_H2)^3 (P_NH3)^2
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Solution
Kp is expressed in terms of the partial pressures of the gases involved in the reaction. For this reaction, Kp = (P_NH3)^2 / (P_N2)(P_H2)^3.
Correct Answer: A — (P_NH3)^2 / (P_N2)(P_H2)^3
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Q. For the reaction: 2A(g) + B(g) ⇌ 3C(g), if the volume of the container is decreased, what will be the effect on the equilibrium? (2022)
A.
Shift to the left
B.
Shift to the right
C.
No change
D.
Increase in temperature
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Solution
Decreasing the volume increases the pressure, and the equilibrium will shift towards the side with fewer moles of gas. Here, it shifts to the right, producing more C.
Correct Answer: B — Shift to the right
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Q. If 0.5 moles of a non-volatile solute are dissolved in 1 kg of water, what is the expected change in boiling point? (Kb for water = 0.52 °C kg/mol) (2021)
A.
0.26 °C
B.
0.52 °C
C.
1.04 °C
D.
0.78 °C
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Solution
Boiling point elevation = i * Kb * m = 1 * 0.52 * 0.5 = 0.26 °C, so change = 0.52 °C.
Correct Answer: C — 1.04 °C
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Q. If 0.5 moles of a non-volatile solute is dissolved in 1 kg of water, what is the expected vapor pressure lowering? (2020)
A.
0.5 P0
B.
0.25 P0
C.
0.75 P0
D.
0.1 P0
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Solution
Vapor pressure lowering = (moles of solute / moles of solvent) * P0 = (0.5 / 55.5) * P0 ≈ 0.25 P0.
Correct Answer: B — 0.25 P0
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Q. If 1 mole of a non-volatile solute is dissolved in 1 kg of water, what is the expected freezing point depression? (2019)
A.
1.86 °C
B.
3.72 °C
C.
0.93 °C
D.
2.0 °C
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Solution
Freezing point depression (ΔTf) = i * Kf * m = 1 * 1.86 °C kg/mol * 1 mol/kg = 1.86 °C.
Correct Answer: A — 1.86 °C
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Q. If a 10Ω resistor carries a current of 5A, what is the voltage across the resistor? (2023)
A.
10V
B.
20V
C.
30V
D.
50V
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Solution
Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.
Correct Answer: B — 20V
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Q. If a 10Ω resistor is connected across a 20V battery, what is the power dissipated in the resistor? (2023)
A.
20W
B.
40W
C.
10W
D.
5W
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Solution
Power (P) can be calculated using the formula P = V^2 / R. Here, P = 20^2 / 10 = 400 / 10 = 40W.
Correct Answer: B — 40W
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Q. If a charge of +1 µC is placed in an electric field of 1000 N/C, what is the force experienced by the charge? (2019)
A.
0.001 N
B.
1 N
C.
10 N
D.
0.1 N
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Solution
Force F = qE = (1 × 10^-6 C) * (1000 N/C) = 0.001 N.
Correct Answer: A — 0.001 N
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Q. If a charge of +10 μC is placed in an electric field of strength 200 N/C, what is the force experienced by the charge? (2019)
A.
200 N
B.
2 N
C.
20 N
D.
0.5 N
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Solution
Force F = qE = (10 × 10^-6 C) * (200 N/C) = 2 N.
Correct Answer: C — 20 N
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Q. If a circuit has a 12V battery and a total resistance of 3Ω, what is the power consumed by the circuit? (2023)
A.
12W
B.
24W
C.
36W
D.
48W
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Solution
Power P = V^2/R = 12^2/3 = 144/3 = 48W.
Correct Answer: B — 24W
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