The number of electrons in one coulomb charge is approximately MCQ with Answer and Explanation

The number of electrons in one coulomb charge is approximately
A. 9.1 × 10⁻³¹
B. 6.25 × 10¹⁸
C. 1.6 × 10⁻¹⁹
D. 6.25 × 10⁻¹⁹
Answer: Option B
Solution (By JKSSB Mock Tests)
Charge of electron e = 1.6 × 10⁻¹⁹ C. Number n = 1/e = 1/(1.6×10⁻¹⁹) = 6.25 × 10¹⁸. This is a huge number. Important for current (1 A = 1 C/s).

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A bullet of mass 20 g is fired from a gun of mass 2 kg with velocity 300 m/s. The recoil velocity of the gun is:
A. 6 m/s
B. 3 m/s
C. 0.6 m/s
D. 0.3 m/s

Correct Answer: Option B


Explanation:
By conservation of momentum: initial momentum = 0 (system at rest). Final momentum: m_bullet×v_bullet + m_gun×v_gun = 0. Thus (0.02 kg)(300 m/s) + (2 kg)(v_gun) = 0 ⇒ 6 + 2v_gun = 0 ⇒ v_gun = -3 m/s. Magnitude is 3 m/s; negative sign indicates opposite direction to bullet. This demonstrates momentum conservation in isolated systems. Memory tip: Recoil velocity = -(m_bullet/m_gun)×v_bullet. Such numerical problems test application of conservation laws, frequently appearing in competitive exams with varying mass ratios and velocities.

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D. Uniform and parallel to axis

Correct Answer: Option D


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Inside a long solenoid, magnetic field is uniform (constant magnitude and direction), parallel to the axis, given by B = μ₀nI, where n is turns per unit length. Outside, field is nearly zero. This uniformity makes solenoids useful for creating controlled magnetic fields. Memory tip: 'Solenoid: uniform B inside like bar magnet'. This conceptual question tests knowledge of magnetic field configurations, crucial for electromagnetism in competitive exams. Always distinguish solenoid field (uniform inside) from straight wire field (circular, non-uniform).

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Correct Answer: Option D


Explanation:
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