jee-main 2024 Q4

jee-main · India · session1_29jan_shift2 Work done and energy Energy conservation with friction or dissipative forces
The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m. If it dissipates $10 \%$ of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is: [Use, $g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$]
(1) $6 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(2) $5 \sqrt { 6 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(3) $5 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
(4) $2 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$
The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m. If it dissipates $10 \%$ of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is: [Use, $g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$]\\
(1) $6 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(2) $5 \sqrt { 6 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(3) $5 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$\\
(4) $2 \sqrt { 5 } \mathrm {~m} \mathrm {~s} ^ { - 1 }$