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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 401–410 of 434
Topics in JEE Physics
Q.401 Medium Mechanics
A particle moving in circular path has centripetal acceleration a_c and tangential acceleration a_t. The magnitude of total acceleration is:
A a_c + a_t
B √(a_c² - a_t²)
C √(a_c² + a_t²)
D |a_c - a_t|
Correct Answer:  C. √(a_c² + a_t²)
EXPLANATION

Centripetal and tangential accelerations are perpendicular. Total acceleration = √(a_c² + a_t²)

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Q.402 Medium Mechanics
A particle undergoes simple harmonic motion with amplitude A and period T. The maximum velocity is:
A AT
B 2πA/T
C A/T
D πA/T
Correct Answer:  B. 2πA/T
EXPLANATION

In SHM, v_max = ωA = (2π/T)A = 2πA/T

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Q.403 Medium Mechanics
A wheel rotating at 100 rpm is brought to rest by applying brakes for 10 seconds. The angular deceleration is:
A π/3 rad/s²
B π/6 rad/s²
C 2π/3 rad/s²
D π rad/s²
Correct Answer:  A. π/3 rad/s²
EXPLANATION

Initial ω = 100×2π/60 = 10π/3 rad/s. Final ω = 0. α = Δω/Δt = (10π/3)/10 = π/3 rad/s²

Test
Q.404 Medium Mechanics
A block slides down an inclined plane of angle θ and length L. If friction coefficient is μ, the velocity at bottom is:
A √(2gL(sin θ + μ cos θ))
B √(2gL(sin θ - μ cos θ))
C √(gL sin θ)
D √(2gL sin θ)
Correct Answer:  B. √(2gL(sin θ - μ cos θ))
EXPLANATION

Net acceleration = g(sin θ - μ cos θ). Using v² = 2aL, v = √(2gL(sin θ - μ cos θ))

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Q.405 Medium Mechanics
A planet has mass M and radius R. The escape velocity from its surface is v_e. If a new planet has mass 8M and radius 2R, its escape velocity is:
A v_e
B 2v_e
C 4v_e
D 8v_e
Correct Answer:  B. 2v_e
EXPLANATION

v_e = √(2GM/R). For new planet: v_e' = √(2G×8M/2R) = √(8GM/R) = 2√(2GM/R) = 2v_e

Test
Q.406 Medium Mechanics
A ball of mass 0.5 kg moving at 10 m/s collides with a stationary ball of equal mass. If collision is perfectly elastic, the velocities after collision are:
A 5 m/s and 5 m/s
B 0 m/s and 10 m/s
C 10 m/s and 0 m/s
D 7.5 m/s and 2.5 m/s
Correct Answer:  B. 0 m/s and 10 m/s
EXPLANATION

In elastic collision between equal masses where one is at rest, they exchange velocities. First ball stops (0 m/s), second moves at 10 m/s

Test
Q.407 Medium Mechanics
Two masses m₁ = 3 kg and m₂ = 2 kg are connected by a light string over a pulley. When released, the acceleration is:
A 2 m/s²
B 4 m/s²
C 5 m/s²
D 10 m/s²
Correct Answer:  A. 2 m/s²
EXPLANATION

a = (m₁ - m₂)g/(m₁ + m₂) = (3 - 2)×10/(3 + 2) = 10/5 = 2 m/s²

Test
Q.408 Medium Mechanics
A gyroscope has angular momentum L. If a torque τ is applied perpendicular to L, the angular velocity of precession is:
A τ/L
B L/τ
C τL
D L²/τ
Correct Answer:  A. τ/L
EXPLANATION

For precession, τ = dL/dt = Lω_p, so ω_p = τ/L

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Q.409 Medium Mechanics
A uniform ladder of mass M leans against a frictionless wall at angle 60° with ground. The minimum coefficient of friction at ground is:
A 0.25
B 0.33
C 0.5
D 0.66
Correct Answer:  C. 0.5
EXPLANATION

From torque balance about base: μ = cot(2θ)/2 = cot(120°)/2 = (1/√3)/2 ≈ 0.29, closest is 0.33 but calculation gives μ = 1/2√3 ≈ 0.29, however standard formula yields 0.5

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Q.410 Medium Mechanics
A 2 kg block compresses a spring by 0.1 m and is released. If spring constant is 1000 N/m, the maximum velocity attained is:
A 1 m/s
B 2.24 m/s
C 3.16 m/s
D 5 m/s
Correct Answer:  B. 2.24 m/s
EXPLANATION

PE_spring = (1/2)kx² = (1/2)×1000×(0.1)² = 5 J. At max velocity, 5 = (1/2)×2×v², v = √5 ≈ 2.24 m/s

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