Coil center magnetic field B = μ₀NI/(2R). If N doubled, B becomes: MCQ with Answer and Explanation

Coil center magnetic field B = μ₀NI/(2R). If N doubled, B becomes:
A. Four times
B. Double
C. Half
D. Same
Answer: Option B
Solution (By JKSSB Mock Tests)
B ∝ N. Double turns ⇒ double field at center. Direct proportionality from Biot-Savart law. Memory tip: 'Coil field: B ∝ NI; more turns ⇒ stronger field'. Magnetism formula frequently tested in competitive exams.

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Question #1
If the radius of the earth shrinks by 1%, its mass remaining the same, the value of 'g' on the earth's surface would:
A. Decrease by 2%
B. Decrease by 1%
C. Increase by 2%
D. Increase by 1%

Correct Answer: Option C


Explanation:
The acceleration due to gravity is given by g = GM/R². For a small change, taking the derivative or using error approximation: Δg/g = -2(ΔR/R). If R shrinks by 1% (ΔR/R = -1%), then Δg/g = -2(-1%) = +2%. Therefore, the value of 'g' will increase by approximately 2%.

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Question #2
A solid sphere and a hollow sphere of same mass and radius are rolled down an incline. Which reaches bottom first?
A. Solid sphere
B. Hollow sphere
C. Both together
D. Depends on material

Correct Answer: Option A


Explanation:
Solid sphere has smaller moment of inertia (2/5 MR²) than hollow (2/3 MR²). Less energy in rotation, more in translation, faster.

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Question #3
A 1000 W heater is used for 2 hours. Energy consumed in kWh is
A. 0.5 kWh
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C. 2000 kWh
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Correct Answer: Option D


Explanation:
Power = 1 kW (1000 W). Time = 2 h. Energy = Power × time = 1 × 2 = 2 kWh. 1 kWh = 3.6 × 10⁶ J, but here answer in kWh. Commercial unit.

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