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Work Power and Energy question

2025 · 28 Jan · Shift 1 · Q51

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Work Power and Energy
2025 · 28 Jan · Shift 1 · Q51

Work Power and Energy question

2025 · 28 Jan · Shift 1 · Q51

JEE MainPhysicsWork Power and EnergyMCQ+4 / −1

A bead of mass '

m

' slides without friction on the wall of a vertical circular hoop of radius '

R

' as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The equilibrium length of the spring is '

R

'. If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes '

R

', would be (spring constant is '

k

',

g

is accleration due to gravity) JEE Main 2025 (Online) 28th January Morning Shift Physics - Work Power & Energy Question 5 English

JEE Main 2025 (Online) 28th January Morning Shift Physics - Work Power & Energy Question 5 English

A
$\sqrt{2 R g+\frac{\mathrm{kR}^2}{\mathrm{~m}}}$
B
$\sqrt{3 \mathrm{Rg}+\frac{\mathrm{kR}^2}{\mathrm{~m}}}$
C
$\sqrt{2 \mathrm{Rg}+\frac{4 \mathrm{kR}^2}{\mathrm{~m}}}$
D
$2\sqrt{\mathrm{gR}+\frac{\mathrm{kR}^2}{\mathrm{~m}}}$

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