Physics-
General
Easy
Question
A ball of mass
kg is attached to the end of a string having length
0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is
![](data:image/png;base64,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)
- 9
- 18
- 27
- 36
The correct answer is: 36
component will cancel ![m g.](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/899341/1/937167/Picture652.png)
Component will provide necessary centripetal force the ball towards center C.
![therefore T sin invisible function application theta equals m r omega to the power of 2 end exponent equals m left parenthesis l sin invisible function application theta right parenthesis omega to the power of 2 end exponent](data:image/png;base64,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)
![o r blank T equals m l omega to the power of 2 end exponent ⟹ omega equals square root of fraction numerator T over denominator m l end fraction end root r a d divided by s](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAAAtCAYAAACtZ4cFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAc1CXO0QAABfVJREFUeNrtnW1oHEUYx4cjhFBCMWhJg0iKiORDPhROsaWIDe0HKaUEQdqghYoipfRDKMFGSqgioqioqCBSgoRQhVgakBIFkRBC8UtRqVKkoEUkLaHS1hdqqUV9pvs/3MzNzr5k9m737v+DB27mdmdnn52XZ+Z5bk8pQhpDt8i/BRFCSAyDIheoBkLKwbDIZ1QDIeVgVOR9qoGQcvCuyBjVQEg5mBd5NMN5FZGbyr2JdBPHEUI8oTecBjyUc7/It1QnIfnRJfK3SIeHsh4TOU6VEpIfm0S+81TWi1wLE5Ive0Q+8VTWCZFdVCkh+TEu8rqnsn4U6aNKCckP7X896KEcvQb+k+okvgm7G06L3Nfm+lgU2eqhnM0qcA8RkgvaN3hA5Os218NVkfUeyhkR+ZDNiuTNjTa+9ztE/vBU1jsiT7eQbjbCAiMF4hGRhTa+f90ofbl0TorsaCHdHBN5okjmYBlDyq57rFMfRtB727jD7hOZ9lTWFRUEYZSBuHa0TgXRX4UNqSxDSJneHDrr8X5PKbogXhB5qc3uOUk7OiIyUeSbKENImf7N5seeZtY5kbVcEdyeXfe12T3HtaMKZtd1q72QLmBSBb4uvVEyZTFBjoocFtkvcgbHHU5QdiNCymp168UGxbLIpdC6p0fkTZhWv4s8H3F+mE9V4E6IYrsKom/C6M7qI9B9LGWnz1LXvPlK+XHp5NlebG25gja7jKWbtg77LWV0o61dw/lav+/F9IkR9LO4GfhnkVtYPtaV14Np/ClUdi1GideM42ZElkTeSLk2SxpStpp38szgIZyBUjqg5AuY9fTmz27k3wMF9xrnD4fSVZHPjWu8LTIUSnep+lef+HqPUO2hbUlwbNa6+tJ9FH+pYKe4iLja8il0xB70B7Nt1Dr1vNFnjkJPw47rLuJ5uZ673pDqdFVed8xDRp6+ifNG3nmYt2lpREiZrtuXUHKYJSjAlt9nnH93KH3MMsicNcrpxGydlaQvDns5ZoOiEXVNy3pYOEUlqi2PoIOGmVL1O9QTETOp2Y7CJHHlnIY15LSpL1vM3y5M9eHjrmdQTCNCymp1W5My35W+olb+JMx2H2sMHeXBJDrtcce9F6WuYTbBJPYxYPl+S6KrLc9blhYLFpP4F5jEKkUfSeLKeVwFwTa7XObUoiX/IbUyFMxMJyVNSFnWBxBVt6T5ZrpqOc9W1mbM6nnPsK86ZlhfdfVtEj+DBlpEXG3ZdMlULIPfRmX3r7vKTePK6UOfnLcMCrd78ozlpFGYYmFTIUtoWCNCyqKukTTfTNt2+g5a8kaxkZUHSdewRajroCXvLVXc36662uRlI71F1YeXalN6OmW5aV05XVjW7DW/0O/ambNM7efUyt3OrKFhjQgp09d4dhX5ZnoHNh7C67/vDUukgryBnO5pzDa6Wmh2Xbdj9jXXbbMxmy/NxNUml4zloe5kJyyDpG2Sm45ob1ldOZM2E7oDldyJtFb8SYwIYbKGhjUipCzqGknzzXQn1ihV7P7pB7YfeUN4oFMqmUsrb5pZV91Zr6LDHjC++wamYxFxtUkd6PEBOlk/9g7mLPsB50L3V8WguRRRbhJXjsmDuMadti8fxpfa5/SDCraqTbKGhjUipCzqGknzbcdVYZLojZpDIWvkEnS0t0ANsFl1HcdA/5PIR8YkoDtyUV06cW3yCGbQCRy3bLEWetHxb2BzbchRbpwrp8Y1DH63sH4dUITkwCwG/BobVPP+msNnPHh4w4iQluE5kd9C6a2qOT829xkPTkjL0g9TruYL1mvoZvw1h694cEJaHr3u2obP+q85srzHKY94cEKIhYsq8L1q9GtN92Qow3c8OCEkgkX1v+9Xv2ViMEMZvuPBCSERvCLyKz5n+WsO3/HghBAH27CO3aDqw/uS4DsenBASwz8qiFn+IsO5vuPBCSExaF/sQsaO4zsenBASg/5Vi/bHjmc413c8OCEkhil02J0Zzs0jHpwQ4mA3OuwDVAUhxecudNhuqoKQcjBLFRBSHp6kCggpDzSHc+I/iLEDsRN7TFsAAAFXdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPm88L21pPjxtaT5yPC9taT48bWk+JiN4QTA7PC9taT48bWk+VDwvbWk+PG1vPj08L21vPjxtaT5tPC9taT48bWk+bDwvbWk+PG1zdXA+PG1pPiYjeDNDOTs8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPiYjeDI3Rjk7PC9tbz48bWk+JiN4M0M5OzwvbWk+PG1vPj08L21vPjxtc3FydD48bWZyYWM+PG1pPlQ8L21pPjxtcm93PjxtaT5tPC9taT48bWk+bDwvbWk+PC9tcm93PjwvbWZyYWM+PC9tc3FydD48bWk+cjwvbWk+PG1pPmE8L21pPjxtaT5kPC9taT48bW8+LzwvbW8+PG1pPnM8L21pPjwvbWF0aD7TM877AAAAAElFTkSuQmCC)
![o r blank omega subscript m a x end subscript equals square root of fraction numerator T subscript m a x end subscript over denominator m l end fraction equals square root of fraction numerator 324 over denominator 0.5 cross times 0.5 end fraction equals 36 blank r a d divided by s end root end root](data:image/png;base64,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)
Related Questions to study
maths-
The ellipse
and the straight line y = mx + c intersect in real points only if
The ellipse
and the straight line y = mx + c intersect in real points only if
maths-General
Physics-
A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
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A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
![](data:image/png;base64,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)
Physics-General
physics-
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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)
Four capacitors are connected as shown in figure. The equivalent capacitance between
and
is
![](data:image/png;base64,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)
physics-General
physics-
A frictionless track
ends in a circular loop of radius
figure. A body slides down the track from point
which is at a height
cm. Maximum value of
for the body to successfully complete the loop is
![](data:image/png;base64,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)
A frictionless track
ends in a circular loop of radius
figure. A body slides down the track from point
which is at a height
cm. Maximum value of
for the body to successfully complete the loop is
![](data:image/png;base64,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)
physics-General
physics-
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
![](data:image/png;base64,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)
In a circuit shown in figure, the potential difference across the capacitor of 2 F is
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General
Physics-
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance
below the highest point such that
![](data:image/png;base64,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)
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance
below the highest point such that
![](data:image/png;base64,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)
Physics-General
Maths-
Polar of origin (0, 0) w.r.t. the circle
touches the circle
, if
Polar of origin (0, 0) w.r.t. the circle
touches the circle
, if
Maths-General
physics-
Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s -1 The frequency of the incident light in s-1 is [h=6 x 10-34J-sec;charge on the electron=1.6x10-19C]
Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s -1 The frequency of the incident light in s-1 is [h=6 x 10-34J-sec;charge on the electron=1.6x10-19C]
physics-General
physics-
Trajectories of two projectiles are shown in figure. Let
and
be the time periods and
and
their speeds of projection. Then
![](data:image/png;base64,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)
Trajectories of two projectiles are shown in figure. Let
and
be the time periods and
and
their speeds of projection. Then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAACdCAMAAABLjdeVAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL6UExURf///+zs7MnJybq6utHR0fT09O/v7+jo6Pb29t3d3Z+fn1NTU1dXV7S0tHp6ere3t+3t7crKymZmZiEhIZeXl/n5+b6+vlhYWIWFhcDAwElJSXh4ePr6+q6urqenp1RUVOvr69XV1by8vN/f39nZ2XBwcGNjY+rq6v7+/v39/eHh4TQ0NN7e3tLS0sPDw+Xl5WJiYhsbG8jIyMTExNvb2/Pz835+fhISEpOTk5iYmJWVlfX19ZqamnJycvv7++Tk5NjY2FJSUqOjo9TU1Pz8/Nzc3Onp6Wtra3FxcWxsbJaWlsbGxhERETk5ObCwsAYGBgwMDISEhAoKCgUFBaysrNPT005OTgEBAQsLCxoaGgAAAAQEBB4eHrW1tfLy8oaGhgICAp6ens7OzlFRUQMDA4eHh/j4+BwcHGdnZ4yMjDo6Oru7u3Z2dg8PD9fX15ubm0xMTBUVFTc3Nzs7O0dHR+Dg4Kampmpqaqurq6qqql5eXq+vr4ODg9ra2ubm5u7u7s/PzyAgIGBgYOPj4+Li4tbW1rOzs319fWlpaZycnLa2tr29vZCQkG5ubmhoaIuLi7GxsaGhoYCAgH9/f6WlpcHBwaKiooGBgWVlZXx8fHV1dWFhYV9fX8vLy0JCQqCgoI+Pj3t7e0tLS5KSktDQ0FVVVaioqFpaWnd3d52dncfHx8LCwnNzc5mZmefn54qKiltbW/f392RkZG9vb5SUlHl5efDw8EVFRYmJiU1NTampqVxcXI2NjV1dXXR0dKSkpG1tbT8/P/Hx8S8vL1BQUDMzMzY2NkhISDg4OMXFxSwsLIiIiMzMzCQkJB0dHbi4uDExMUBAQDU1NUZGRq2trUpKSrKyslZWVrm5uZGRkYKCgkFBQUNDQ46OjllZWb+/v83NzTIyMicnJwkJCT4+PiIiIkRERCMjIyoqKigoKE9PTyUlJRAQEC4uLiYmJisrKzw8PC0tLR8fHxMTExcXFz09PRQUFBkZGQgICA4ODgcHBw0NDRYWFgAAAIL2CGAAAAD+dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8A2NkMcQAAAAlwSFlzAAAXEQAAFxEByibzPwAACLNJREFUeF7tnUuS4yAMhrNly7l8Al+BE7DSaahiwzFYoWuYc4ywceK3iV+xe/hmpuJkUt1t9S8hgSCvTGYHgALDAzRPM8woRRaRWsQX/ncAeeVeL1Q6vpARXpO/SBmfZlBxeKFg8WmGcTKIyCHkDXDLEPMo84apAjE7TAdXOJYF0sEUJl5lAmB0dpguaLK/fEBgOQPpAF6Z1h6QIyuh+TsDYdxli7w6qsDSZufpIosy5+8dQJfZIF2YKoswD5CJkMeUYe4sE5FlWRbZZ96AI4OUuah5gyoYxMVnmTqElCXPmUhL7TGlzUGkhbIQIs+MtDQhhHwmPv/vMWWlCutLn1OzBsmlrLh0LqdmDQAvrFT9mImQQfKg2wULnuXRJStkQFbIgKyQAVkhA7JCBpBCskG6YJUN0kNkhfTJChnwdQxBabTmnmtt5F805VcGAeF4H/fnjELDbmoegkZzpZwUjIwAjAmplVLaiD+VyKQqBJjUnr+7KFqY4F6Zv9S9l2gQkNzONOmBUf4P9e+ljTJMezPf1EoyUX+mRzxJIUbp5R5fDO+I1w8noZZhmrtVownO/0YbHylk5T6Q85SFLOb+hkXWFAKoUxtaRYKQ7s+aQugu49U6+BcssqIQ8ZUfMP780LqsEPllXIBk/7otiwr5Th8BGpEebpGlPAQ3jBtMP7yHb8Eg2+7t6a3R8zGE1L/pzph6dD4yG0PAbY0G+GiLzCrE8c0jqElKbW/KnEJogIlXG3jy4DsTVCnF2iF7pp7b6TkzH7Izndilr98yuS4Dcm//u1suGW/MpEJQyZ3jxHPzs6kYwjaPuB+Ef+hIMzXKCL+/Zt2exvyYiTwED5E7+mfOO08oxBwTEI16pNOMFfLNHNkSoB5Z5Y0VsrGmGyMeuVgzGmXkcbehnjj0jgyyK2fvI/kDJTKIIXCozvkD950MY8iBAgnu97yBpu8ycGz2wPTzJNKvZbYuIwAw+iuEwHD1+RLSP+4grH61K+x3STswFFI6pxs4bx6dc1IKZJTAP+5swZ5C4IsktbYFWYIrX9mm4cwYSTYhvLVe1W152j6t4aoXQ1KHmOAeRitbce2MYPAa3jQACuPCOwpFb3hSf1FvlJE+RSDADLdWOYN0pwu3SmZjgltlLTcUW+Krd6ebh6QMCiCc99xJMkZ8ZRmsDHkW917vnXO6iK5C1tMGdIpz8pL0e4MwuwpI0YYr/gSbdBQCWsWraZgJIVN+OXnUWpmFgKvvvyG2oxBcrPuRoqjakKWAf39VkEpxd/MT1DqjzMLSA2me+40HOPOuFRlFoHu3PncMMluKAZV8fnO3lOjXvEADj7tx/vqJIULNLC6BCCfjbb4F8INsNbSDz4vx13xiyNzqtuDK7RL5eAou9M3fdfn37TIwvR6LWu09/H2qGYByu5vOHr1rGeYnPCb83LubPWAyOKHmtzxmv612YcpjhDtkWnQmv5HqjtlrqxAYt/3Q2LK9aabL3AoNOHW/Tt82hqAdujSlDAf9AoWea44gk9+tEo4GGTdAIFdHZQswv9TD9O5Gg4OJLsP0QLzySDU7Gy/GgLlZG2fMQ1h/cpl+zNH2uh0sTq3Ke3WkiaqWs6i6HkNDzqFJAi52WKG+05aBqJDeZCpzB/dVrjSLsDtZpKllUHcc+YgGogFmeW6SLHL0d9xMoxDhP9XKGRsaxMpxi5Np4W9oFCI/R3ef8tuimP1R4BT36cBqFOLeh/+dswVoNKqPYO4mXlMrhFQRn5I9ztBuggDYeMMeJM7sH0qtkPdOIco/zvHlhC7NoUUgHCtwYHaYSJ26tzPjYM46wXtcKo0Z9IOjsrYqL29CIoXAO4SI0/o5wC6lZpHeTBKEj5xjtjo0Q0ygVoj29fWJLfuQUrFQpPm8idVaNZefoF0bpJnSWihKdwMuJVh3N6VEzdofGARiqXFmKgBp3VViOBlw/eYsKv9B1t/1wH7MCTDpq4+mZa6fGwgKqaUxOcl8HCwlqgan6VqARt6TRr15gkF0OJcpycl3kBgMel1/7AdVcDBIiKni7M0LnzXvRbqlA5M/WAUOU4hkkKRhcRepCxqfDYyAv1gVJ4WE7Q9pzVR7SC4a29kHEEGzpJL62WVQpkpDG9u/PrdG8gBKyUh4AFNVynt7Yi4wCSmEwqmxp4szfSdAHeMpmCjl6c/JoW0EKYQ76c6vodqJZvKEldDQdDJBS/PiZVBQ9UZ3p5hPAptgCdKGGZglziwh1iGFWH1Fjz40nyAPwpdr9/vTrVikEGsv6UuIH6lPElkz/093QZNCqnLQ83QOKjZFCL/qESurFqcSXOaajzF7G2RVIV9vyjgSrLy95jOq+Mcgawr55TlGZJBmdfd02rFjPYaEud2f+QxWtkgru/bSLs4lxBD6qX7mM1hUxTWD3Nsg6wp5sYRJ+pPAqrhoYrstZhJiyC+DCBbFRSE9FjNgCr/aVwa/W9hkRXnAaSEpxJ53EbborX7H6yeXW7AoL4roUSHCSbPerrXlgJpQCNKfnfUgGeQidX61DJa00jcApHYGmHO7+hqxvGr5dLBNZJk1g0zpgGlSO8iy2hWQr1PI8oatAZ19WNOglmxoFIrXHOTO2fJgkGsU8p1B1s7KE5QueD3Yrga6UHt39dEoc9GQj7MN3lOsGQR4UZZkE0VKiS8RoJI/GVa6SQwvS+VMfHYmhoe9z/RY/13BOOvj5TTGBYPUWMXfRiGJpFaqvCiqKWo7k/zOJnwTqhKai/jaAkURfqxZwv+1BgnEQRqMkT4tzwQZD24Ywssq/k94OOtfTXt2RBLtm7tfpf1Xo1qDkN/E/Wp1g60r9m2wwPQP3LkV5By1MSiyvtMOV1A4FLbc1RcW2iHi5aOgorSo+ocsMB02e4bN0nsyM1LINWnIwQjucHA2BaUl5CzA9p3OEVb/4+Wj6JzrcyxPVchpPFUhp5EVMiArZAAWWSE9SCHZIF1g4fPrMplMJlPzev0D3z39ole+aQgAAAAASUVORK5CYII=)
physics-General
physics-
A body is projected up a smooth inclined plane with a velocity
from the point
as shown in figure. The angle of inclination is
and top
of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of
? Length of the inclined plane is
, and ![g equals 10 m s to the power of negative 2 end exponent](data:image/png;base64,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)
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A body is projected up a smooth inclined plane with a velocity
from the point
as shown in figure. The angle of inclination is
and top
of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of
? Length of the inclined plane is
, and ![g equals 10 m s to the power of negative 2 end exponent](data:image/png;base64,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)
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physics-General
Maths-
The equation of the circumcircle of the triangle formed by the lines
and y=0 is
The equation of the circumcircle of the triangle formed by the lines
and y=0 is
Maths-General
physics-
Which of the substance
or
has the highest specific heat? The temperature
time graph is shown
![](data:image/png;base64,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)
Which of the substance
or
has the highest specific heat? The temperature
time graph is shown
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)
physics-General