Physics-
General
Easy
Question
A projectile
is thrown at an angle of
to the horizontal from point
. At the same time, another projectile
is thrown with velocity
upwards from the point
vertically below the highest point. For
to collide with
should be
![](data:image/png;base64,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)
- 1
- 2
- 4
The correct answer is: ![fraction numerator 1 over denominator 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
Equating velocities along the vertical,
![v subscript 2 end subscript equals v subscript 1 end subscript sin invisible function application 30 degree o r blank fraction numerator v subscript 2 end subscript over denominator v subscript 1 end subscript end fraction equals fraction numerator 1 over denominator 2 end fraction](data:image/png;base64,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)
Related Questions to study
Maths-
Maths-General
physics-
A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448515/1/928852/Picture14.png)
A current carrying loop is placed in the nonuniform magnetic field whose variation in space is shown in figure Direction of magnetic field is into the plane of paper the magnetic force experienced by the loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448515/1/928852/Picture14.png)
physics-General
physics-
A particle of charge +q and mass m moving under the influnce of a uniform electric field
and a uniform magnetic field
follows trajectory from P to Q as shown in figure The velocities at P and Q
and
respectively Which of the following statement(s) is/are correct
![](data:image/png;base64,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)
A particle of charge +q and mass m moving under the influnce of a uniform electric field
and a uniform magnetic field
follows trajectory from P to Q as shown in figure The velocities at P and Q
and
respectively Which of the following statement(s) is/are correct
![](data:image/png;base64,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)
physics-General
chemistry-
The products formed in the following reaction,
are:
The products formed in the following reaction,
are:
chemistry-General
physics-
A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions
and
is
![](data:image/png;base64,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)
A man 80 kg is supported by two cables as shown in the figure. Then the ratio of tensions
and
is
![](data:image/png;base64,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)
physics-General
maths-
maths-General
Maths-
Maths-General
Maths-
Maths-General
chemistry-
Oxygen atom of ether is:
Oxygen atom of ether is:
chemistry-General
physics-
A long current carrying wire, carrying current such that it is flowing out from the plane of paper, is placed at O A steady state current is flowing in the loop ABCD
![](data:image/png;base64,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)
A long current carrying wire, carrying current such that it is flowing out from the plane of paper, is placed at O A steady state current is flowing in the loop ABCD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP4AAADICAYAAADItVzhAAAOVklEQVR4nO2dbZKrOg6GxczsC7IyyFLuSoCVeX7cI46bJoQPgyX8PFVd1R06iUN4kSxLchVCCAIARfGf3AMAgPtB+AAFgvABCgThAxQIwofNVFUlVVVJ13W5hwInqYjqwxpd18kwDNI0zfTYMAwyjqP0ff/jcfDD/3IPAOxSVZWIiLRt+8PKd10n4zgiescgfFhkGIbp97lrj6vvH1x9WEStPZfHMyG4B1AgCB+gQBA+7IY5vn8QPizStq2I/J3rK/O/wScIHxaJrbom7iD658ByHnwkhMBS3kNhOQ+gQHD1YTfDMEypvOATXH3Yzev1mn4nbdcnWHzYTNd1UlWV9H0vIYTJ8oM/ED7sIoQwWfmmaeT9fmceERyB4B6sohb9k2WvqupX9R7YB4sPH6mq6qtFDyFg9R2C8GERdee3WPO6rknucQZRffjF3pLcpmlkHEepqooyXicwx4cfHK3Dp37fF7j6ICJ/l+rquj4kXn0O6/o+wOLDj/n52csBd98HWPxC0eQbFf1RSz+HQJ8PEH5BqNCrqpLX6/VjGS5V3r26+qzr2wZXvwCGYfiRXz8n9SWgsQKKeOyCxTdIbJlT7F7TNI2EEKauOjFLj50lhCDjOCZ/XUgHwjeMFsO0bZskO24Yhl9Cv8olb9uWub5hEL5hUs2X1YNomka6rptc+ytned9y/CEvCN8g811sdM58hK7r5P1+/0q9Pfp6e2GebxNSdg2i8+PYVT4ioE+iF7kn0SaEgLtvFKL6BtEkGBWuyDG33EIarX4GLjNb4OobI3bru66bgnF75so6PWjb1ozgcPltgatvkNgN3xvNt2DlY9TiD8NAHr8hsPiGmFvF2MpvEY3+T9/3aQd2klTLkZAO5viG+BQI+/YVpSyyuQprnkjpYPENEUJY/Fkj7pRjWVRXZAjCcbD4jvFmRWnMaQcsvkO6rjM7n1+jbVui+0ZA+M7QKLkK35OQuq6jeMcKAdzQtm0QkdC27fTY/G/r6GeAvGDxnaA97udzZK9LZaTy5oXgnhPWetl5DPKJ+BnvE8HiGyaev6+J5Ehab050vJ7iE08Di2+YvR1rPXW4ZWkvL1h8gzRNMwljD5463HqNTTwFLL4xzs5/PVlSTx7K08DiGyOEcCopx5MlpS9fPhC+AeKNLUTOdcfRGn4PgqIvXz4Qfmbi9lipKGVTC71hPv1zXgFz/IxcvZ7tZQ59dJzkAxwHi5+Rq0tp67p2Zw33WvC7ugU/DYSfkatF2TSN6UCffn6NSagF33NeaOd1DIR/M3cG3awHz97v91SDsBern8kLCP8mNBB1d/285eW9FOdCbwCa9KQ7BsE6dNm9gZxBKF01sBjo0808U3hBTdNMuf8eljJzg8W/gbZts3bK0fe2WhRzJEA3XwLF9d/JbZX/hWGt4YQYb9ghItPPmf+1/jmtwDr+BaztWZcTi+6+snW7sGEYfnguTdP8SliydM7Nkve+8zzkjyWyaHWseSFzZKPFXyL+bNY/pwX+23F7TI7uQ2+Rf/75R0Tsrn9rM86943u9XiLy79x/HEdp29bsZ7QArn5hWE9z9VRW7Bmi+ieZV9Z5waqw2HHnHljHP4F167lESLRufhVU3N0Drv5BPIpesT52y6sPTwFX/yC5k3LOoO50VVUmk3o8VhV6A+HvIJ7Px/vXeSMWlUXhW68qfAIIfyNXdMqxwPv9xrqWSK4EAk8s7VnnHYnSXi1+NotjehJY/A0Mw/D4tWUsf1mwnLcBi/PgK9B5NTeA54PFX8BrUs4R6rqeev+FEMyIPoRQzA03Bwh/xlODeEuEEExH0DVvH9KD8CN0XduS5bsKzUHQJUmsa1kg/IiS3EsVvGXhe9kRyCMIH6BAihY+BSH/EkIwO8+Ha7hsOS920YLBggur7bEAbiF1RtA8y03/7vs+9VudQsgM+0Fd1ybPB9/TNSQvy10qqTxbBroU4MFSp0U9oMSXw2mslxB7JZmrPwyDvF6vJOvfccdVTTBZoqoqqet6U487qxc2QBZSuQ5rnU1lY/dUfY09w4qf88klfGKRTWqsdqbdez3ANpKd0bUvSERCXdcfn9v3/fQ/R8XZtm2o6/pXPOHbe8NfrN4c598pnCdpVD8suNHxpoaf0OSRM0kk+j5VVcnr9ZrGsjQm8McwDG4bn1jktuq8T3Pw1MGbYLyZJIAFkibwzMX9reBFLXzK3nWx5beYhgpgglRzhnkATTZ0dkn49h/HAPuwOse3OC7PJF3HX7L4a/873wDxLPNdWHRDRdb7t2OxtTW761xArjuO3HAXt7pEZRmr5wuLn5YsRTpHtjPuum7yEuLH1gJ5bJv8HIjXrBMXnOnv81WQWCsueu7FA9aMvrZti+mUA3TjWWNpZUzF/2nqlkX42uVmC5/Wbrem33JjgCej3uzSypgax0VyzC+2vq3Mer/Pf1K/X2ksnZdP51YfWzq+dixOqZZZXGft2Nr3/e1amB+bV4puPbb1Pe86tuf7ij/T/HsKYSVzT+cK+vvS8T3Hlmrfm6aRcRylrmsZx1H6vp+i8FsaQyy5OGtzfn2/GH3u/HnxWJfGo89bO7b0uvoZ195TC56+jSee7sTHNMtNxxWPdf6a+r/xCou+nv5/vK+AelDx8bVjelyJPbi1TLy5pxaf429e3Pz4vM3Y0rG16/jbe/Z9/zEGMT8WjyGs9HYMf9rAxeP7tGoWPni+q9dl+PSs2RukDJBtXTL6loG35TVE0o//yVhczhOxO66cfMt6XTtnm6L6uUTDFw1wjG9GM8tyXl3XSf53vry3BHn7UBp6za9NT7JE9Zum2ey6DcOwKN7wpxiH5hpQKqqBmNg7X/PUXXTZDX+2d4p/9PG1u5p6A5RzwlPp+35ar48t/TdjmLzn3lbuyL+m3dZ+rAbRrI7LK9ks/mpywUF0CqGWHtEDLJMtZTeum08lTo0H6Bo4WXsAy2Sd468lTxwlvokwtwdYJtsc/8cgElp9+rCfw2qyE3P8tJiI6mtk8oyF7rpuen5csHD2dUuCnIdyMCH8pmkkhCDjOO7exFLLD9/vt4zjKCGEX/nQGvQDgH8x4erHzAW6Nrwj/2vs45rCcosrXP203BLV39OLT6uShmGQ9/s9CVYr+GLiarBvrFVCAZTGbRbf2h3bahArF9aTnaxdP965ZY7fdd2uwpw7GIZhU5EP5Mfi9eOdW4T/fr/NRdZ1KjFveAH2sHj9eOdy4Vu2qFrkQ8T/b5cdKIPbhD8vF7Qitq7rmDvKv11siXmUQxaLb9UL0GSf0gTAHLo8Lhe+JtXEWJ2vabLP+/0uSvzMocvjUuF7FI92i01dMgzHYDeki1hsyJ2AeZ/ypWOQH+vfxdL1A+e5zOJr0Ex/PIO1gadhokjHOtrgw2pQ8gzsP1gmWYp04qaAXqzpU4t8LKfCWk8j9kyW1lsev8jwp8jHslD2wjJeueDq7+BpyT4s45ULwj+I984+OsWy/hmIP1xDti673nmK629Z+MzvrwPhn+CKFuF38MSgWbylNHzHXOstuB7LLbZi9txQvd18c8McPzHWi3x0WdK6ddSb01YQ/T4QfmK8FPlYFz5cC8JPjAreYpGPjg3rCAj/AoLRzj5euux4WWr0DMG9gvASAHviqoM1sPg3EG/vlQMtMvJg7UVYv78DhH8DKvy924OlYqnvIRzD2vTtKOZ20nkqcdDv7s/vqfS2qirThUNezuM3bpnjP7Wk1QNeknUUb+P1ym2uvuW7eC6uTvbxFh33Nl7P3CZ8vszfXJ3so7kE3s69t/F65PI5/hPbVaVCBa9R95RTIZ0rezr/RPPv4zbhz62alzXlq4kr/FK/pifRw71kWc57ypJISlLeBC2mC3/DU57BE7hc+EsXIV/wZ3TN/+i8X/voefKm8Ezu5xaL7+kizI0K/0jQT1NdvQXHSDC6n8uErwErEb7QvRzdxkuLcLydby/FQ0/iUuErHuecudnb0dfzTr9s0X0/bKHlhDVRe+mqs4T1FN2nkrVIh7v8dj7N++PmGt6ET6ZeRi7ajHOVvu9D27Y53to1bduGuq6nc6c73Xo9l3VdsxNuJmjE4RBNfvJe0EISVz6ox3dICGEKnnp1k9m3Ly8I3wlzq940jYQQ5PV6ucyE9Jhv8CQQvgPWhK3r357ET35HfhC+cb4JWpN99Hfr6BSFhJ28sHeeYbYKues6F6IXIT3XCkT1jdJ1nQzDIOM4isi+egcVlTVx0TbbDlh8o6hAjs7dNU3akvg9Nf18OgjfIBrtPlOaK/K3UKrv++wRdLL0bIGrb4x5R+KzHYpjjyHnV02yji2w+IbQwFdKgcTThbjLTdM0t1lfknUMcnOKMKwgIj9y1zUX/+zXFL/O/OfqPH/v9QRPBVffCPF8fikqf9ZCa0R9Tl3Xl9bx67gtBRmBOX5RLK0QXPn1s4OSXcjcK4gcS2ks39kEi18YaoVVkLq2ntoVb5pGxnHE2huFqL5jjiyRhSjKH+/gG/+dAkRvG1x9xxwVVmzhtchHk33O9rjX12H5zja4+jCRIhhHPr4PsPgwEUKQuq4PW35E7wcsPixyxPp77wFYElh8WKTvexGRTdafXZP8gcWHVbZYfhJ1/IHFh1VCCNL3/bRF1xyPu/MCwocNaEffcRx/pP163Z0XRP7bMSmDHWgrsKZp5PV6iQj723uEOT7sRtNx67pG9E5B+HAIOur4hjk+HALR+wbhAxQI1XmwylLs985+fXANzPFhlU9df+PHwB+4+vCVuMQ2hDA18SCi7xeED1/55NYjfL8gfPiIuvXM558HwoevIPzngfBhkS2Z3GR7+wXhwyrzyL0W5tA22zcIHzYTix5r7xvW8eEXubbbgvtA+AAFgqsPUCAIH6BAED5AgSB8gAJB+AAFgvABCgThAxTI/wGJ0ikWP4bVpAAAAABJRU5ErkJggg==)
physics-General
physics-
A loop carrying current I lies in the x-y plane as shown in fig The unit vector is coming out of the plane of the paper The magnetic moment of the current loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448405/1/928751/Picture10.png)
A loop carrying current I lies in the x-y plane as shown in fig The unit vector is coming out of the plane of the paper The magnetic moment of the current loop is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448405/1/928751/Picture10.png)
physics-General
physics-
A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. 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 rest at the highest point of a smooth vertical circle is slightly displaced. 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
physics-
In figure, a particle is placed at the highest point of a smooth sphere of radius . It is given slight push, and it leaves the sphere at , at a depth vertically below such that is equal to
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)
In figure, a particle is placed at the highest point of a smooth sphere of radius . It is given slight push, and it leaves the sphere at , at a depth vertically below such that is equal to
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)
physics-General
Maths-
Maths-General
Maths-
Maths-General