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
If the length of a wire is stretched to double its original length while keeping its volume constant, its new resistance will be:
A. Twice the original
B. Half the original
C. Four times the original
D. Unchanged

Correct Answer: Option C


Explanation:
Resistance R = rhoL/A. If the wire is stretched so length becomes L' = 2L, the volume (V = AL) must remain constant. Therefore, the new area A' must be A/2 to maintain V. The new resistance R' = rho(2L)/(A/2) = 4 * (rhoL/A) = 4R. Stretching a wire to double its length increases its resistance strictly by a factor of 4. This is a classic trap question compared to merely 'changing the wire'.

This question belongs to: Science Physics
Question #2
In which of the following scenarios is the work done physically zero?
A. A person pushing a heavy wall that does not move.
B. All of the above.
C. A satellite moving in a circular orbit around the Earth.
D. A person carrying a heavy load on his head and walking on a horizontal road.

Correct Answer: Option B


Explanation:
Work (W) = F × d × cos(θ). In scenario A, displacement (d) is zero. In scenario B, the applied force (upward) is perpendicular to the displacement (horizontal), so cos(90°) = 0. In scenario C, the centripetal force (gravity) is perpendicular to the satellite's instantaneous direction of motion, so work done is zero. All cases yield zero work.

This question belongs to: Science Physics
Question #3
The power of accommodation of the eye is due to
A. Change in curvature of lens
B. Change in pupil size
C. Change in cornea
D. Change in retina

Correct Answer: Option A


Explanation:
Ciliary muscles change lens shape, altering focal length.

This question belongs to: Science Physics