A) Its length is doubled done clear
B) The mass of the bob is doubled done clear
C) Its length is made four times done clear
D) The mass of the bob and the length of the pendulum are doubled done clear
View Solution play_arrowA) Greater than T done clear
B) Less than T done clear
C) Equal to T done clear
D) Cannot be compared done clear
View Solution play_arrowA) Remains unchanged done clear
B) Increase done clear
C) Decrease done clear
D) Become erratic done clear
View Solution play_arrowA) Increase done clear
B) Decrease done clear
C) Remain unaffected done clear
D) Become infinite done clear
View Solution play_arrowA) \[\frac{1}{\sqrt{2}}\] sec done clear
B) \[2\sqrt{2}\]sec done clear
C) 2 sec done clear
D) \[\frac{1}{2}\]sec done clear
View Solution play_arrowA) \[{{\tan }^{-1}}\frac{a}{g}\] in the forward direction done clear
B) \[{{\tan }^{-1}}\frac{a}{g}\] in the backward direction done clear
C) \[{{\tan }^{-1}}\frac{g}{a}\] in the backward direction done clear
D) \[{{\tan }^{-1}}\frac{g}{a}\] in the forward direction done clear
View Solution play_arrowA) Directly proportional to square root of the length of the pendulum done clear
B) Inversely proportional to the square root of the acceleration due to gravity done clear
C) Dependent on the mass, size and material of the bob done clear
D) Independent of the amplitude done clear
View Solution play_arrowA) 4 sec done clear
B) 1 sec done clear
C) 2 sec done clear
D) 8 sec done clear
View Solution play_arrowA) T done clear
B) \[\frac{T}{4}\] done clear
C) \[\frac{2T}{\sqrt{5}}\] done clear
D) \[2T\sqrt{5}\] done clear
View Solution play_arrowA) g done clear
B) \[g-a\] done clear
C) \[g+a\] done clear
D) \[\sqrt{{{g}^{2}}+{{a}^{2}}}\] done clear
View Solution play_arrowA) Zero done clear
B) \[2\sqrt{3}\,sec\] done clear
C) 4 sec done clear
D) Infinite done clear
View Solution play_arrowA) \[\sqrt{\frac{2E}{m}}\] done clear
B) \[\sqrt{2mE}\] done clear
C) \[2mE\] done clear
D) \[m{{E}^{2}}\] done clear
View Solution play_arrowA) 1 / 6 m done clear
B) 6 m done clear
C) 1 / 36 m done clear
D) 36 m done clear
View Solution play_arrowA) 3927 sec done clear
B) 3727 sec done clear
C) 3427 sec done clear
D) 864 sec done clear
View Solution play_arrowA) The same done clear
B) Increased by 3/5 done clear
C) Decreased by 2/3 times done clear
D) None of the above done clear
View Solution play_arrowA) Increase by 1% done clear
B) Increase by 0.5% done clear
C) Decrease by 0.5% done clear
D) Increase by 2% done clear
View Solution play_arrowA) \[mgH\] done clear
B) \[\sqrt{2gH}\] done clear
C) \[T\frac{p-1}{p}\] done clear
D) Zero done clear
View Solution play_arrowquestion_answer18) Identify correct statement among the following [Manipal MEE 1995]
A) The greater the mass of a pendulum bob, the shorter is its frequency of oscillation done clear
B) A simple pendulum with a bob of mass M swings with an angular amplitude of \[{{40}^{o}}\]. When its angular amplitude is \[{{20}^{o}}\], the tension in the string is less than \[Mg\cos {{20}^{o}}\]. done clear
C) As the length of a simple pendulum is increased, the maximum velocity of its bob during its oscillation will also decreases done clear
D) The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum done clear
View Solution play_arrowA) \[U=K{{X}^{2}}\] done clear
B) \[\sqrt{2gl(1+\cos \theta )}\] done clear
C) \[U=KX\] done clear
D) \[\frac{a}{2}\] done clear
View Solution play_arrowquestion_answer20) A simple pendulum executing S.H.M. is falling freely along with the support. Then
A) Its periodic time decreases done clear
B) Its periodic time increases done clear
C) It does not oscillate at all done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{E}{4}\] done clear
B) \[\frac{3E}{4}\] done clear
C) \[\frac{\sqrt{3}}{4}E\] done clear
D) \[{{K}_{1}}\] done clear
View Solution play_arrowA) 16 sec done clear
B) 12 sec done clear
C) 8 sec done clear
D) 4 sec done clear
View Solution play_arrowA) Increase done clear
B) Decrease done clear
C) Remain the same done clear
D) First increase then decrease done clear
View Solution play_arrowA) \[\frac{l}{T}=\]constant done clear
B) \[\]\[\frac{{{l}^{2}}}{T}=\]constant done clear
C) \[\frac{l}{{{T}^{2}}}=\]constant done clear
D) \[\frac{{{l}^{2}}}{{{T}^{2}}}=\]constant done clear
View Solution play_arrowA) \[\sqrt{T}\] done clear
B) T done clear
C) \[{{T}^{1/3}}\] done clear
D) \[\sqrt{2}\]T done clear
View Solution play_arrowA) 10% done clear
B) 21% done clear
C) 30% done clear
D) 50% done clear
View Solution play_arrowA) 100% done clear
B) 200% done clear
C) 300% done clear
D) 400% done clear
View Solution play_arrowquestion_answer28) The length of a seconds pendulum is [RPET 2000]
A) 99.8 cm done clear
B) 99 cm done clear
C) 100 cm done clear
D) None of these done clear
View Solution play_arrowA) \[T=2\pi \sqrt{\frac{l}{g}}\] done clear
B) \[T=2\pi \sqrt{\frac{l}{2g}}\] done clear
C) Zero done clear
D) Infinite done clear
View Solution play_arrowA) Become infinite done clear
B) Remain same done clear
C) Increase done clear
D) Decrease done clear
View Solution play_arrowA) \[\frac{2}{\pi }sec\] done clear
B) \[2\pi \,sec\] done clear
C) \[2\,sec\] done clear
D) \[\pi \,sec\] done clear
View Solution play_arrowA) Will decrease done clear
B) Will increase done clear
C) Will be same done clear
D) None of these done clear
View Solution play_arrowA) 2 l done clear
B) 4 l done clear
C) 4 l x done clear
D) \[\frac{4l}{x}\] done clear
View Solution play_arrowA) 1 sec done clear
B) 2 sec done clear
C) 4 sec done clear
D) 3 sec done clear
View Solution play_arrowA) Increases done clear
B) Decreases done clear
C) Remains unchanged done clear
D) Becomes infinite done clear
View Solution play_arrowA) Zero done clear
B) T done clear
C) 1/T done clear
D) None of these done clear
View Solution play_arrowA) Less than T done clear
B) Equal to 2T done clear
C) Greater than T done clear
D) Unchanged done clear
View Solution play_arrowA) 22% done clear
B) 20% done clear
C) 33% done clear
D) 44% done clear
View Solution play_arrowA) Length of the pendulum is small done clear
B) Mass of the pendulum is small done clear
C) Amplitude of oscillation is small done clear
D) Acceleration due to gravity is small done clear
View Solution play_arrowA) 5.4 m / s done clear
B) 4.95 m / s done clear
C) 3.14 m / s done clear
D) Zero done clear
View Solution play_arrowA) Zero done clear
B) \[0.57m/s\] done clear
C) \[0.212m/s\] done clear
D) \[0.32m/s\] done clear
View Solution play_arrowA) Zero done clear
B) \[m\theta \sqrt{\frac{g}{l}}\] done clear
C) \[\frac{m\theta }{l}\sqrt{\frac{l}{g}}\] done clear
D) \[\frac{m}{l}2\pi \sqrt{\frac{l}{g}}\] done clear
View Solution play_arrowA) Increase done clear
B) Decrease done clear
C) Become infinite done clear
D) Remain constant done clear
View Solution play_arrowA) 2.5 done clear
B) 5 done clear
C) 10 done clear
D) \[5\sqrt{2}\] done clear
View Solution play_arrowA) \[\sqrt{2/3}\] done clear
B) \[\sqrt{3/2}\] done clear
C) \[4/9\] done clear
D) \[9/4\] done clear
View Solution play_arrowA) 7 : 8 done clear
B) 8 : 7 done clear
C) 49 : 64 done clear
D) 64 : 49 done clear
View Solution play_arrowA) \[{{T}_{2}}\] is infinity done clear
B) \[{{T}_{2}}>{{T}_{1}}\] done clear
C) \[{{T}_{2}}<{{T}_{1}}\] done clear
D) \[{{T}_{2}}={{T}_{1}}\] done clear
View Solution play_arrowA) 3T done clear
B) 3/2T done clear
C) 4T done clear
D) 2T done clear
View Solution play_arrowA) Decreases done clear
B) Increases done clear
C) Remains the same done clear
D) Decreases and then increases done clear
View Solution play_arrowA) 6 m/sec done clear
B) 1 m/sec done clear
C) 2 m/sec done clear
D) 8 m/sec done clear
View Solution play_arrowA) 0.8 T done clear
B) 0.25 T done clear
C) 2 T done clear
D) 4 T done clear
View Solution play_arrowA) \[\frac{T}{\sqrt{3}}\] done clear
B) \[\frac{T}{3}\] done clear
C) \[\frac{\sqrt{3}}{2}T\] done clear
D) \[\sqrt{3}\,T\] done clear
View Solution play_arrowquestion_answer53) Time period of a simple pendulum will be double, if we [MH CET 2003]
A) Decrease the length 2 times done clear
B) Decrease the length 4 times done clear
C) Increase the length 2 times done clear
D) Increase the length 4 times done clear
View Solution play_arrowA) \[mgl\sin \theta \] done clear
B) \[mgl(1+\sin \theta )\] done clear
C) \[mgl(1+\cos \theta )\] done clear
D) \[mgl(1-\cos \theta )\] done clear
View Solution play_arrowquestion_answer55) The velocity of simple pendulum is maximum at [RPMT 2004]
A) Extremes done clear
B) Half displacement done clear
C) Mean position done clear
D) Every where done clear
View Solution play_arrowA) Increasing amplitude done clear
B) Constant amplitude done clear
C) Decreasing amplitude done clear
D) First (c) then (a) done clear
View Solution play_arrowA) \[2\pi \sqrt{\frac{3L}{g}}\] done clear
B) \[\pi \sqrt{\left( \frac{3L}{g} \right)}\] done clear
C) \[2\pi \sqrt{\left( \frac{3L}{2g} \right)}\] done clear
D) \[2\pi \sqrt{\frac{2L}{3g}}\] done clear
View Solution play_arrowA) \[T=2\pi \sqrt{\frac{{{R}_{e}}}{g}}\] done clear
B) \[T=2\pi \sqrt{\frac{2\,{{R}_{e}}}{g}}\] done clear
C) \[T=2\pi \sqrt{\frac{{{R}_{e}}}{2g}}\] done clear
D) \[T=2\] seconds done clear
View Solution play_arrowA) 2.2 m/s done clear
B) 1.8 m/s done clear
C) 1.4 m/s done clear
D) 0.6 m/s done clear
View Solution play_arrowA) Less than T done clear
B) Greater than T done clear
C) Equal to T done clear
D) Infinite done clear
View Solution play_arrowA) Increases done clear
B) Decreases done clear
C) First increases then decrease done clear
D) None of these done clear
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