A small block of mass m slides… - JEE Main 2026 Physics PYQ

JEE Main 2026 — Physics Mechanics

2026mcqmedium

A small block of mass $m$ slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration $a_{0}$ . The angle between the inclined plane and ground is $\theta$ and its base length is $L$ . Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is $\_\_\_\_$ .

JEE Main 2026 Physics, Laws of Motion — question figure

Official previous-year question

Held on 28 Jan 2026 · Verified 6 Jul 2026.

Options

A
$\sqrt{\frac{2 L}{g \sin \theta-a_{0} \cos \theta}}$
B
$\sqrt{\frac{4 L}{g \cos ^{2} \theta-a_{0} \sin \theta \cos \theta}}$
C
$\sqrt{\frac{2 L}{g \sin 2 \theta-a_{0}(1+\cos 2 \theta)}}$
D
$\sqrt{\frac{4 L}{g \sin 2 \theta-a_{0}(1+\cos 2 \theta)}}$

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Solution

JEE Main 2026 Physics, Laws of Motion — solution figure

$mg\sin\theta - ma_0\cos\theta = ma$

$a = g\sin\theta - a_0\cos\theta$

Now using,

$S = ut + \dfrac{1}{2}a_{down}t^2$

$\dfrac{L}{\cos\theta} = \dfrac{1}{2}(g\sin\theta - a_0\cos\theta)t^2$

$t = \sqrt{\dfrac{2L}{g\sin\theta\cos\theta - a_0\cos^2\theta}}$

$t = \sqrt{\dfrac{4L}{g\sin 2\theta - a_0(1 + \cos 2\theta)}}$

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Options

$\sqrt{\frac{2 L}{g \sin \theta-a_{0} \cos \theta}}$

$\sqrt{\frac{4 L}{g \cos ^{2} \theta-a_{0} \sin \theta \cos \theta}}$

$\sqrt{\frac{2 L}{g \sin 2 \theta-a_{0}(1+\cos 2 \theta)}}$

$\sqrt{\frac{4 L}{g \sin 2 \theta-a_{0}(1+\cos 2 \theta)}}$

Solution

JEE Main 2026 Physics, Laws of Motion — solution figure

$mg\sin\theta - ma_0\cos\theta = ma$

$a = g\sin\theta - a_0\cos\theta$

Now using,

$S = ut + \dfrac{1}{2}a_{down}t^2$

$\dfrac{L}{\cos\theta} = \dfrac{1}{2}(g\sin\theta - a_0\cos\theta)t^2$

$t = \sqrt{\dfrac{2L}{g\sin\theta\cos\theta - a_0\cos^2\theta}}$

$t = \sqrt{\dfrac{4L}{g\sin 2\theta - a_0(1 + \cos 2\theta)}}$

Options

Did you get this right?

Solution

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Options

Did you get this right?

Solution

Your note

JEE Main Mechanics in other years

More JEE Main Mechanics questions

Other Physics topics for JEE Main

Electromagnetism

Modern Physics

Optics

Thermodynamics

Waves & Oscillations

Keep practicing Mechanics