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JEE Physics

Physics questions for JEE Main — Mechanics, Electrostatics, Optics, Modern Physics.

434 Q 9 Topics Take Test
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Difficulty: All Easy Medium Hard 411–420 of 434
Topics in JEE Physics
Q.411 Medium Mechanics
Two identical springs with spring constant k are connected in series. The effective spring constant is:
A 2k
B k/2
C k
D 4k
Correct Answer:  B. k/2
EXPLANATION

For springs in series: 1/k_eff = 1/k + 1/k = 2/k, so k_eff = k/2

Test
Q.412 Medium Mechanics
A particle moves in a vertical circle of radius r. At the highest point, the minimum speed needed to maintain contact is:
A √(gr)
B √(2gr)
C 2√(gr)
D √(gr/2)
Correct Answer:  A. √(gr)
EXPLANATION

At highest point, for minimum speed, N = 0. mg = mv²/r, so v = √(gr)

Test
Q.413 Medium Mechanics
A body experiences two perpendicular forces of 3 N and 4 N. The resultant acceleration is 2 m/s². The mass is:
A 1.5 kg
B 2 kg
C 2.5 kg
D 3.5 kg
Correct Answer:  C. 2.5 kg
EXPLANATION

Resultant force = √(3² + 4²) = √25 = 5 N. Mass = F/a = 5/2 = 2.5 kg

Test
Q.414 Medium Mechanics
A uniform rod of length L is suspended vertically from one end. Its center of mass falls from height L/2 to height 0 when released. The velocity of COM when it reaches bottom is:
A √(gL/2)
B √(gL)
C √(2gL)
D √(gL/4)
Correct Answer:  A. √(gL/2)
EXPLANATION

For rotating rod, energy: mg(L/2) = (1/2)Iω² + (1/2)mv². With I = mL²/3 about pivot, v_cm = √(gL/2)

Test
Q.415 Medium Mechanics
Two blocks A (2 kg) and B (3 kg) are connected by a string on a frictionless surface. A 10 N force pulls the system. The tension in the string between A and B is:
A 4 N
B 6 N
C 8 N
D 10 N
Correct Answer:  B. 6 N
EXPLANATION

Total acceleration = F/(m₁+m₂) = 10/5 = 2 m/s². Tension = F - m₁a = 10 - 2×2 = 6 N (or T = m₂a = 3×2 = 6 N)

Test
Q.416 Medium Mechanics
A 2 kg block slides down a 30° incline with initial velocity 5 m/s. If friction coefficient is 0.1, what is acceleration? (g = 10 m/s²)
A 3.6 m/s²
B 4.3 m/s²
C 5.1 m/s²
D 6.2 m/s²
Correct Answer:  B. 4.3 m/s²
EXPLANATION

a = g(sinθ - μcosθ) = 10(sin30° - 0.1×cos30°) = 10(0.5 - 0.1×0.866) = 10(0.5 - 0.0866) = 4.134 ≈ 4.3 m/s²

Test
Q.417 Medium Mechanics
A ball is thrown from ground with initial velocity components: vₓ = 20 m/s and vᵧ = 30 m/s. At maximum height, what is its velocity?
A 20 m/s
B 30 m/s
C 25 m/s
D 40 m/s
Correct Answer:  A. 20 m/s
EXPLANATION

At maximum height, vertical component vᵧ = 0. Horizontal component vₓ remains 20 m/s. Total velocity = 20 m/s

Test
Q.418 Medium Mechanics
A satellite orbits Earth at radius r with velocity v. If radius is doubled, what is new orbital velocity?
A v
B v/√2
C v√2
D 2v
Correct Answer:  B. v/√2
EXPLANATION

Orbital velocity v = √(GM/r). If r → 2r, then v' = √(GM/2r) = v/√2

Test
Q.419 Medium Mechanics
A particle in circular motion has angular velocity ω = 2t rad/s. If radius is 5 m, what is tangential acceleration at t = 2s?
A 5 m/s²
B 10 m/s²
C 15 m/s²
D 20 m/s²
Correct Answer:  B. 10 m/s²
EXPLANATION

Tangential acceleration at = r(dω/dt) = 5 × 2 = 10 m/s² (constant as dω/dt = 2)

Test
Q.420 Medium Mechanics
Two objects of mass 4 kg and 6 kg move towards each other with velocities 5 m/s and 3 m/s respectively. After perfectly inelastic collision, what is their common velocity?
A 0.2 m/s
B 0.4 m/s
C 0.6 m/s
D 0.8 m/s
Correct Answer:  A. 0.2 m/s
EXPLANATION

By momentum conservation: 4(5) - 6(3) = (4+6)v → 20 - 18 = 10v → v = 0.2 m/s

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