The escape velocity for a projectile on the Earth's surface is 11.2 km/s. If a body is projected at twice this velocity, what happens? MCQ with Answer and Explanation

The escape velocity for a projectile on the Earth's surface is 11.2 km/s. If a body is projected at twice this velocity, what happens?
A. It escapes Earth's gravity and retains a finite positive velocity in interstellar space.
B. It orbits the Earth indefinitely.
C. It returns to Earth after a long time.
D. It escapes Earth's gravity but eventually comes to rest in deep space.
Answer: Option A
Solution (By JKSSB Mock Tests)
Escape velocity (Ve) is the minimum velocity needed to overcome Earth's gravitational pull so that final velocity at infinity is zero. If launched with velocity v > Ve, the body will escape and, due to conservation of energy, retain a residual speed (v_infinity) at an infinite distance, calculated by v_infinity = √(v² - Ve²). Here, v = 2Ve, so it retains speed.

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Practice More Physics Questions

Question #1
The power of a lens is -2 D. This lens is:
A. Concave lens of focal length 50 cm
B. Convex lens of focal length 50 cm
C. Concave lens of focal length 200 cm
D. Convex lens of focal length 200 cm

Correct Answer: Option A


Explanation:
Power P = 1/f (in meters). P = -2 D ⇒ f = 1/(-2) = -0.5 m = -50 cm. Negative focal length indicates diverging (concave) lens. Convex lenses have positive power. Option A correctly states concave lens with |f| = 50 cm. Memory tip: 'Negative power = concave lens; f(in cm) = 100/P(in D)'. This direct application of lens power definition is common in competitive exams. Always convert diopters to focal length carefully, noting sign convention: negative for diverging lenses, positive for converging.

This question belongs to: Science Physics
Question #2
Which of the following materials would have the highest electrical resistance, assuming equal length and cross-sectional area?
A. Copper
B. Nichrome
C. Silver
D. Aluminum

Correct Answer: Option B


Explanation:
Resistance depends on the resistivity of the material (R = ρL/A). Silver and copper are excellent conductors with very low resistivity. Aluminum is also a good conductor. Nichrome is an alloy (nickel, chromium, and often iron) with a resistivity about 60 times higher than that of copper, making it a resistor used in heating elements.

This question belongs to: Science Physics
Question #3
Pendulum T measured 2.0±0.1 s. % error in g:
A. 20%
B. 2.5%
C. 10%
D. 5%

Correct Answer: Option C


Explanation:
g = 4π²l/T² ⇒ %Δg = %Δl + 2×%ΔT. Assuming l precise: %Δg ≈ 2×(0.1/2.0×100%) = 2×5% = 10%. Memory tip: 'g ∝ 1/T² ⇒ %Δg = 2×%ΔT'. Error analysis frequently tested in competitive experimental physics sections.

This question belongs to: Science Physics