The escape velocity from the surface of a planet depends on which two fundamental properties of that planet?
Answer: B
Escape velocity is mathematically derived as v = √(2GM/R), where G is gravitational constant, M is the planet's mass, and R is its radius.
These two properties directly determine the gravitational field strength at the planet's surface, which defines the minimum velocity needed to escape gravitational attraction.
Q.2Medium
Speed of sound in air?
Answer: B
~343 m/s at 20°C.
Q.3Medium
A lens has a focal length of 15 cm. What is its power?
Answer: A
Power P = 1/f (in meters). P = 01.15 = 6.67 Diopters (positive for converging lens)
Q.4Medium
An object is placed 30 cm in front of a concave mirror with focal length 10 cm. Where is the image formed?
Answer: B
The mirror equation relates object distance, image distance, and focal length to locate where an image forms in a concave mirror.
Step 1: [Identify Given Values]
For this concave mirror problem, we extract the known measurements from the question.
Object distance (u)=30 cm
Focal length (f)=10 cm
Image distance (v)=?
Step 2: [Apply Mirror Equation]
The mirror equation relates these three quantities and allows us to solve for the unknown image distance.
f1=u1+v1
Substituting the values:
101=301+v1
v1=101−301
v1=303−301=302=151
v=15 cm
Since v is positive, the image forms in front of the mirror (on the same side as the object).
The image is formed 15 cm in front of the mirror. Answer: (B)
Q.5Medium
A transformer has 500 turns in primary and 100 turns in secondary coil. If primary voltage is 220V, what is the secondary voltage?
Answer: A
Using transformer equation Vs/Vp = Ns/Np, we get Vs = 220 × (500100) = 44 V
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Q.6Medium
A current-carrying conductor is placed in a magnetic field perpendicular to it. What force acts on it?
Answer: B
The force on a current-carrying conductor in a magnetic field is called the Lorentz force, given by F = BIL
Q.7Medium
A radioactive element has a half-life of 10 years. After 30 years, what fraction of the original sample remains?
Answer: C
After 3 half-lives (30 years), the fraction remaining = (21)³ = 81
Q.8Medium
Which statement about elastic collisions is correct?
Answer: B
In elastic collisions, both momentum and kinetic energy are conserved
Q.9Medium
What is the young's modulus of a material?
Answer: A
Young's modulus Y = Stress/Strain = (F/A)/(ΔL/L), a measure of material stiffness
Q.10Medium
A convex lens of focal length 20 cm is used as a magnifying glass. If an object is placed 5 cm from the lens, what is the nature of the image?
Answer: B
When object is between lens and focus (u < f), a convex lens produces virtual, erect, magnified image
Q.11Medium
A car moving at 72 km/h applies brakes and comes to rest in 8 seconds. What is the deceleration?
Answer: A
First convert 72 km/h = 20 m/s. Using v = u + at: 0 = 20 + a(8), so a = -820 = -2.5 m/s². Magnitude of deceleration is 2.5 m/s².
Q.12Medium
Which of the following elements has an electronic configuration of 2, 8, 7?
Answer: A
Chlorine (Cl) has atomic number 17, with electronic configuration 2, 8, 7 (K-shell: 2, L-shell: 8, M-shell: 7).
Q.13Medium
The refractive index of a medium is 1.5. What is the speed of light in that medium? (c = 3 × 10⁸ m/s)
Answer: B
Refractive index n = c/v. Therefore, v = c/n = (3 × 10⁸)/1.5 = 2 × 10⁸ m/s.
Q.14Medium
A spring with spring constant k = 100 N/m is compressed by 0.2 m. What is the elastic potential energy stored?
Answer: B
Elastic potential energy U = ½kx². U = ½ × 100 × (0.2)² = 50 × 0.04 = 2 J.
Q.15Medium
Which hormone is responsible for regulating blood glucose levels?
Answer: B
Insulin, produced by the pancreas, lowers blood glucose by facilitating glucose uptake into cells. Glucagon raises blood glucose levels.
Q.16Medium
A 5 kg object is lifted vertically at constant velocity. What is the work done by gravity? (Height = 10 m, g = 10 m/s²)
Answer: A
Work by gravity W = -mgh (negative because displacement is opposite to force direction). W = -5 × 10 × 10 = -500 J.
Q.17Medium
What is the equivalent resistance when three resistors of 6Ω, 3Ω, and 2Ω are connected in parallel?
The phenomenon where a material exhibits permanent magnetic properties is called:
Answer: C
Ferromagnetism is the property of materials like iron, cobalt, and nickel to retain permanent magnetic properties due to aligned electron spins.
Q.19Medium
Which of the following exhibits wave-particle duality?
Answer: C
De Broglie proposed that all matter exhibits wave-particle duality. Both light (photons) and electrons show properties of both waves and particles, confirmed by experiments like double-slit interference and photoelectric effect.
Q.20Medium
A gas expands against a constant external pressure of 2 atm. The work done by the gas is -500 J. What is the change in volume?
Answer: B
Work done against constant pressure: W = -PΔV. Given W = -500 J and P = 2 atm = 2 × 101325 Pa. ΔV = -W/P = 500/(2 × 101325) ≈ 2.47 × 10⁻³ m³ = 2.47 L.