Satellite orbital velocity v = √(GM/r). If radius doubles, velocity becomes: MCQ with Answer and Explanation

Satellite orbital velocity v = √(GM/r). If radius doubles, velocity becomes:
A. Half
B. 1/√2 times
C. √2 times
D. Same
Answer: Option B
Solution (By JKSSB Mock Tests)
v ∝ 1/√r. If r' = 2r, v' = v/√2. Orbital velocity decreases with increasing radius. Memory aid: 'Higher orbit ⇒ slower speed; v ∝ r⁻¹/²'. Proportional reasoning question testing gravitation formula application, frequently appearing in competitive exams without heavy calculation.

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Practice More Physics Questions

Question #1
Identify the incorrect statement regarding the human eye.
A. The pupil regulates the amount of light entering the eye.
B. The retina acts as the screen where images are formed.
C. The cornea provides most of the eye's refractive power.
D. The image formed on the retina is virtual and erect.

Correct Answer: Option D


Explanation:
The eye lens is a convex (converging) lens. It converges light rays to form a real and inverted image on the retina. The brain processes this signal and flips it so we perceive the world as erect. All other statements are functionally correct. The cornea does indeed do about two-thirds of the focusing.

This question belongs to: Science Physics
Question #2
A constant force acting on a body of mass 5 kg changes its speed from 2 m/s to 8 m/s in 10 s. The magnitude of force is
A. 1 N
B. 5 N
C. 3 N
D. 0.5 N

Correct Answer: Option C


Explanation:
Acceleration a = (v-u)/t = (8-2)/10 = 0.6 m/s². Force F = m×a = 5 × 0.6 = 3 N. Alternatively, impulse = change in momentum = 5×(8-2) = 30 kg m/s, time = 10 s, so average force = 30/10 = 3 N. Always check direction, but magnitude is 3 N.

This question belongs to: Science Physics
Question #3
The kinetic energy of a body becomes 4 times. Momentum becomes
A. Same
B. 2 times
C. 16 times
D. 4 times

Correct Answer: Option B


Explanation:
p ∝ √K, so if K'=4K, p'=2p.

This question belongs to: Science Physics