Physics-
General
Easy
Question
A wire bent in the form a right angled triangle PQR, carries a current 1 A It is placed in a region of a uniform magnetic field B= 0.2T If PR = 1m, the net force on the wire is
![](data:image/png;base64,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)
- 1.73N
- 3.46N
- 2.732N
- Zero
The correct answer is: 2.732N
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Two wires AO and OC carry currents i as shown in figure One end of both the wires extends to infinity
, the magnitude of magnetic field at a point P on the bisector of the two wires at a distance r from O is
![](data:image/png;base64,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)
Two wires AO and OC carry currents i as shown in figure One end of both the wires extends to infinity
, the magnitude of magnetic field at a point P on the bisector of the two wires at a distance r from O is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH0AAAA4CAYAAADQFff6AAAM7ElEQVR4nO2cW3BTVRfHf6fJSdI0TXqhF2vlUqSWYjsl0BYUC1RARUXgCUYcbzO++aRPig+O6Kvi5UUf0IEiM8oAMozMdAYGkHqBFlqwFqvQ2lJa6JUkzeVc9veA55iUwge1pbHNbyYzaXNOzs7577X2WnuvfaSXXnpJvPvuu8ycOZME0wNJCCEmuxHjjRACSZLM9wbG/6Y7SZPdgIlC0zR0XUfXdVP4Kdi/x8SUFF0IQW9vL9988w1+v3+ymxN3TDn33t/fD0BycjKBQIDU1FSsViuSJJmv6c6UsXQhBJFIhKamJjo6OrBaraSlpWGxWCa7aXFH3Fu6pmn4/X56enqYM2cOsizHfG6IHQwGsVqt+P1+HA4Hqamp5jHRFp6w9P+ApQeDQQ4fPsyLL75ouu5oJEmit7eXr7/+mp6eHnJyckwLT0pKSog8CnEruuGA2tvbOXXqFKtXr8bv9xMOh2Mi8lAohK7rzJ8/n/z8fFRVRVEUgJvG8UQHuEHcim5Y8Pfff4/NZkNRFFpaWkxBI5EIra2tnD59muTkZMrLy5FlmaSkpJhxPBHA3Uzcig5w+vRp2tra6O/vp7+/n7a2NhRFQZIkdF2ntbUVv9+PzWYjJSUFSZISLv0OsE52A27H4cOH2bBhA48++ig+n48dO3YQiURMcVesWAGA0+mc5Jb+t4jL6N2IyDs7O8nNzcXhcCCEYGBggI6ODhoaGliyZAlFRUVYLJaEZd8lceve7XY7c+bMweFwmO786tWr7NmzhxkzZvDAAw8AieBsLMSle5ckCU3TgBtWHwqF6O7upra2lpKSErxeLy6XCyEEmqbdFKglOsLtiTtLF0IghDADsqSkJLq6utixYwcej4e1a9eSn58fs3hinBP9d4JbE3eij+T333+npqaGlJQUNmzYgMvlYnh4OOaYhGXfHXHn3qMFrKur48iRIxQWFlJVVUVKSoqZhyeEHjtxaenBYJBff/2VvXv3UlBQQHV1NdnZ2ebUalLSP81OiH/3xJ2lB4NB2tvb2blzJ+Xl5axcuZL09PSbxu2E2GMn7iy9paWFbdu2UVBQwNq1a00LTyyRjh9xNTnT1NTEwYMHSUtLY+PGjeTm5sakb//PuhNp250x6e5d0zQURaGpqYmamhqWL1/O4sWLycrKAkDX9Ulu4dRj0kU3plt37dpFYWEhS5cuJTc31yxqTDD+TKromqbx559/8tFHH7FmzRqeeuopHA4HiqIkxvAJZNLGdCEEP/74I/v372fZsmVUV1djt9vNdGwsY/Ldjum6rsekf9OFSbH0cDjMmTNn+O6776isrKSyshKXy3VP3PnAwACDg4MIIcjOzjbX4acT91R0XdcJh8O0trZSU1PDmjVrqKysJCsra1zny6NFjM7vNU3jyJEjXLx4EYDU1FTWr19Peno6sixPm7KqCfdtQgh0XUfTNAKBAK2trXz11VeUlJSwfPlysrOzx/V6kiShqiqRSMS8riF6OBymvr4er9dLdXU1Fy9e5OTJk4TD4SkvdDQTYunRe8nC4TBDQ0Pk5ORw8uRJDh06xLp161i0aBF2ux1VVcd1XBVC0NHRwaFDhwDYtGkT6enpAMiyTHNzMw8++CAtLS3U1dWxefNmrFYrqqpitU56MnNPmJBfaQiuKAq//PIL77zzDhs3buTSpUusWLHCXA8fz3o2Y03d5/OxZ88ePv/8c1RVpa2tjTfffJOMjAy6urrIzMwkGAySl5fH+++/z7x588wdMEZnje60U5EJ7do+n4+jR4/yww8/8Ntvv/HGG2/g9XrJzMw0Z9nGA6OYwkjz2tvbuXz5MpqmMTAwgCRJhEIhmpubWbVqFdXV1eTk5ACMazv+K0yo6N3d3Zw5c8ascWtubmZwcBBd1wkEAqiqit1uH7WwcbTALikpyUyzdF3H7/eTnJwMwPnz57FarTz00ENUV1fT0NCAzWZjy5YtuFwuVFUFYPHixaSlpZnfOVp59FS2cgDEBOHz+cS+fftEWVmZKCwsFJ999ploa2sTiqKIQCAg9uzZI1577TVx4sSJmPN0XR/1ZaBpmlAURYRCIfHFF1+ICxcuiHA4LLq6uszjNE0Tfr9fBAIBoSiK0DTNPE9V1Zjvm45MWCD3888/c/LkSbZu3UpZWRkzZszA6XQiSRKKolBXV8emTZsoLi6OOdcYU0dijM8tLS3Mnj2bWbNmUVFRQV5eHjabjdzcXDMYkySJlJQUM10zLDd6lm+0a0S3YSoz7qL7fD7Onz/P/v37efzxx1m5ciUejwe4MX5GIhEaGhrIzc2lqKiIjIwM81xVVdF1HavViq7rWCwW/vrrL4aGhigpKUFVVVRVxe1243Q6WbBggSmk4aZ1Xb9lx0lwg3EVfXBwkPr6evbt28eGDRtYuHAhbrfb/NxisaAoCpcuXWLVqlUxggNmbh0IBBgYGCAnJ4c//viDK1euUFpaSlFREUVFRTdZsMFoqd9Ut9qxMG5z70IIjh8/zvbt23n11VdZunQpHo/njhZONE0zX52dnbz33nskJyezdetWsrOzkWWZSCSCw+Ewzxlt3tz4KeJfVthM9Y7yr0UXf8+4nTt3joMHD7J69WqKi4txOBxmTRuMfiON3af9/f28/fbbbN68maKiIsLhME6nk/T0dJKSkkwRowsiDTc+8nvHow8nRL8NQgiGh4c5fvw4tbW1PPPMMyxatAi3232TtY3cwNDT08O5c+coKysjNTWV5uZmZs2aZT4uxPAQ0a48ejJnNPce3a5/Q0L0W6AoCsPDw+ZGhHXr1lFSUoLL5TIFM1bNhBBYLBY6Ojro6elh3rx5+P1+gsEgM2bMMFfYDEs2mjTyfbRl30504/OxMtVFH3Mgp+s6Z8+eZefOnbzwwgsUFxebguu6TigUwmKxcPXqVYLBIAUFBeYsmc1m4/777zerYyRJihn7DYs2hI0W3uBu6uUSxHLXohvutrm5mQMHDvDcc8+xZMkSbDabucI1ODiIw+EgEAhQX1/P7NmzURSFiooKADP1MsQd7UF/kBBuohjVvV+9epVr165hs9nIz883K1o0TWN4eJhjx45x9uxZli1bxsMPP4zH46GzsxO3243L5aKxsZH8/HzcbjehUAin04ndbjetWdO0mMj7VmInRJ8YYiw9HA5z7do1ampq6O/vJzk5maeffprS0lJsNhvDw8M0Njayc+dOXnnlFebOnYvdbufKlSscOHCANWvW4Ha7mT9/vrnF2NhdCtDX14ff78fpdJKZmTlqynWvhZ6Ma042MaL7/X4+/fRTVq9ezfz58+nu7mbXrl3MnTuXSCRCfX09H374IT6fj59++one3l4WL15McnIyL7/8MkIIhoaGsFqtDA4OmpZtsVgQQrB7927OnTtHdXU1FRUVZGRkYLPZYgI+iA3a7iRCj36vKIo51Iz8fKRHEUKYU7fGHEA4HMZisWC1Ws1sw1j3j44/FEVBCIEsy+bvM4j3TnSTpbe0tPD666+TnZ1NMBiks7OT4eFhamtr2bZtG319fTidTlwuF5qm0dHRga7rOBwOdF03bw4QE6AJIairq+PYsWPs3r2b3Nxcnn/+ebKyssyHBxl5+8jXaESncIbH8Pl8uFwuwuFwjBeJPm5k2hcMBsnIyOCxxx4jLy+PvXv3UlxczIIFCxgcHOTEiROsX7+ey5cvc+rUKebOncvChQtpaGigq6uLqqoqsrOzR21nvIofI7pRw2bMfQ8NDZGXlwdAQUEB27dvN9etLRYLbrcbWZbRdR273T6q6MYyKEBra6v5BKh58+ZRWlrKfffdZy57jozS76SiJvpmG20Qf6+vj3bcSIs0Jn88Hg82m43MzEwcDgd2ux1ZlklLS0OSJFJTU3E4HKZ3cjqdpKamkpKSQigUiqmxi75mPAofE8j19fXxwQcfUF5ejs1mo729Ha/Xi9frNcdoo6ToVjNit+OTTz7h6NGjPPLIIzz55JPMnDkzZiJnZH5+q6g+muhzRgaHo7lzuOHRHA4Hqqpy4cIFmpqasNvteL1e0tLScDqdyLKMEIJAIEBKSgqapqGqKrIsY7PZzOfXGR0t2oPE+/aqGNEjkQhdXV18++23hEIhqqqqqKqqGvOXj7SqxsZGZFmmsLDwjuvRJmK1zEgte3t7+fjjj5EkCY/HQzgc5q233oqZ+o0+507b+J8SHf6ZRRuPYsVbBTd34/YmSvTu7m6+/PJL8vLyePbZZxFC0NTUhNfrNR9+MB7XiUduMrfxrEy91Y++m5sxUTcuEAjQ2NjIsmXLkGUZWZYpKSkZF8HjVWyD6VHzOwIjGPV4PLS3t5Oenk5vby+BQIAnnngCiH/h/g1xtT/9XqFpGtevX+fy5cvU1NRw/fp1cnJy2LJlCzNnzpzy9e/TUvRojHqA6fRM2Wkv+kjiNbceT/4HpsEcVEMQVWwAAAAASUVORK5CYII=)
physics-General
Physics-
Two identical discs of same radius
are rotating about their axes in opposite directions with the same constant angular speed
. The discs are in the same horizontal plane. At time
, the points
and
are facing each other as shown in figure. The relative speed between the two points
and
is
as function of times best represented by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/904018/1/928460/Picture956.png)
Two identical discs of same radius
are rotating about their axes in opposite directions with the same constant angular speed
. The discs are in the same horizontal plane. At time
, the points
and
are facing each other as shown in figure. The relative speed between the two points
and
is
as function of times best represented by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/904018/1/928460/Picture956.png)
Physics-General
physics-
Consider the given velocity-time graph It represents the motion of
![](data:image/png;base64,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)
Consider the given velocity-time graph It represents the motion of
![](data:image/png;base64,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)
physics-General
chemistry-
2-methoxy butane is obtained by reacting diazomethane with
2-methoxy butane is obtained by reacting diazomethane with
chemistry-General
physics-
The figure shows a circular path of a moving particle. If the velocity of the particle at same instant is
, through which quadrant is the particle moving when clockwise and anti-clockwise respectively
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486608/1/928400/Picture59.png)
The figure shows a circular path of a moving particle. If the velocity of the particle at same instant is
, through which quadrant is the particle moving when clockwise and anti-clockwise respectively
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486608/1/928400/Picture59.png)
physics-General
chemistry-
The dehydration of butane-1-ol gives
The dehydration of butane-1-ol gives
chemistry-General
chemistry-
Which of the following reaction is/are feasible?
Which of the following reaction is/are feasible?
chemistry-General
chemistry-
The preparation of SO3(g)by reaction
is an exothermic reaction. If the preparation follows the following temperature-pressure relationship for its % yield, then for temperatures T1,T2 and T3 . The correct option is
![](data:image/png;base64,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)
The preparation of SO3(g)by reaction
is an exothermic reaction. If the preparation follows the following temperature-pressure relationship for its % yield, then for temperatures T1,T2 and T3 . The correct option is
![](data:image/png;base64,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)
chemistry-General
chemistry-
Lucas reagent is a mixture of:
Lucas reagent is a mixture of:
chemistry-General
physics-
If a stone
to hit at a point which is at a distance
away and at a height
above the point from where the stone starts, then what is the value of initial sped
, if the stone is launched at an angle
?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486584/1/928159/Picture58.png)
If a stone
to hit at a point which is at a distance
away and at a height
above the point from where the stone starts, then what is the value of initial sped
, if the stone is launched at an angle
?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486584/1/928159/Picture58.png)
physics-General
biology
Match the following and mark the correct options
![](data:image/png;base64,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)
Match the following and mark the correct options
![](data:image/png;base64,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)
biologyGeneral
Physics-
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/903973/1/928131/Picture57.png)
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/903973/1/928131/Picture57.png)
Physics-General