Electric field due to point charge: E ∝ MCQ with Answer and Explanation

Electric field due to point charge: E ∝
A. r
B. 1/r²
C. 1/r
D. r²
Answer: Option B
Solution (By JKSSB Mock Tests)
Coulomb's law: E = kq/r² ⇒ E ∝ 1/r². Inverse square law fundamental to electrostatics and gravitation. Memory tip: 'Point charge field: inverse square; double distance ⇒ field becomes 1/4'. Electrostatics concept frequently tested in competitive exams.

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Question #1
The fundamental principle utilized in an optical endoscope, which allows doctors to examine the inside of the human body, is:
A. Polarization of light
B. Total internal reflection of light
C. Diffraction of light
D. Scattering of light

Correct Answer: Option B


Explanation:
Endoscopes consist of bundles of flexible optical fibers. Light introduced at one end is trapped inside the fiber core because it repeatedly strikes the boundary at an angle greater than the critical angle. This Total Internal Reflection allows light and visual images to be transmitted through complex, curving paths inside the body.

This question belongs to: Science Physics
Question #2
The time period of revolution of a satellite close to Earth's surface is approximately:
A. 24 hours
B. 84 minutes
C. 90 minutes
D. 12 hours

Correct Answer: Option B


Explanation:
For low Earth orbit (r ≈ R_earth), orbital period T = 2π√(r³/GM). Using g = GM/R², T = 2π√(R/g). With R = 6.4×10⁶ m, g = 9.8 m/s², T ≈ 2×3.14×√(6.4e6/9.8) ≈ 6.28×√(653061) ≈ 6.28×808 ≈ 5076 s ≈ 84.6 minutes. Memory aid: 'Low orbit period ≈ 84 min; geostationary = 24 hours'. This standard result is frequently tested in competitive exams. Always recall that period increases with orbital radius; competitive exams often compare low orbit vs geostationary periods.

This question belongs to: Science Physics
Question #3
An echo returned in 0.5 s. If speed of sound is 340 m/s, the distance of reflecting surface is
A. 340 m
B. 680 m
C. 170 m
D. 85 m

Correct Answer: Option D


Explanation:
d = (v×t)/2 = (340×0.5)/2 = 170/2 = 85 m. Minimum distance for echo perception is about 17 m. Remember divide by 2 for one-way distance.

This question belongs to: Science Physics