$2^6=(2+0)^6⇒64=64*0^0$
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Re: 0^0=1!
- Sun May 12, 2019 4:26 pm
- Forum: Social Lounge
- Topic: Share your AoPS id name
- Replies: 8
- Views: 37600
Re: Sharing my AoPS id name
Wait....who is the EXPORT?
- Fri Apr 26, 2019 8:55 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/2
- Replies: 3
- Views: 28889
- Fri Apr 26, 2019 5:25 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) : Problemsets
- Replies: 0
- Views: 48294
BdPhO Regional (Dhaka-South) : Problemsets
$***BdPhO$ $Regional$ $(Dhaka-South)$ $: Higher$ $Secondary***$ $Problem-1$ A coherent beam of monochromatic light of wavelength $500$ $nm$ is directed towards two thin slits separated by a distance of $1$ $mm$. If the screen covers an angular region of $60˚$, as shown in the figure, approximately ...
- Fri Apr 26, 2019 5:18 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/Bonus
- Replies: 0
- Views: 48268
BdPhO Regional (Dhaka-South) Higher Secondary 2019/Bonus
At the Large Hadron Collider Many particle physics experiments are carried on one of two types of accelerator facilities, (a) colliders in which equal energy particle collide head on, i.e. their momentum vectors point in opposite direction, (b) “fixed target facilities”, where an energetic beam par...
- Fri Apr 26, 2019 4:54 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/6
- Replies: 0
- Views: 48141
BdPhO Regional (Dhaka-South) Higher Secondary 2019/6
Litu is trying to balance one egg on another egg, which rests on a table. He does it by taking an empty cylindrical plastic cup. The cup is inverted and put over the two eggs, so that the inner wall of the cup prevents the upper egg from falling down on the table. Figure out the condition for the ma...
- Fri Apr 26, 2019 4:53 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/5
- Replies: 0
- Views: 47503
BdPhO Regional (Dhaka-South) Higher Secondary 2019/5
Imagine a rocket with mass $M$ is moving toward a gas cloud with initial velocity $v$. Naturally the rocket will be colliding with the gas particles and gradually losing its kinetic energy. Now for the sake of simplicity, we can model this gas cloud as tiny particles with very small mass $m$ and den...
- Fri Apr 26, 2019 4:50 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/4
- Replies: 0
- Views: 48200
BdPhO Regional (Dhaka-South) Higher Secondary 2019/4
BdPhO Regional (Dhaka-South) Higher Secondary 2019(3).png Assume we have a long column of water and an air bubble of radius $r$ and pressure $P_0$ at the surface of the Earth is rising inside that. If the column is long enough for $g$ not to be considered constant, find $r$ as a function of $R$ ; w...
- Fri Apr 26, 2019 4:44 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/3
- Replies: 0
- Views: 47823
BdPhO Regional (Dhaka-South) Higher Secondary 2019/3
A large loop of radius $R$ carries a current of $I$. A much smaller loop of radius $r$ is placed at the center of this loop, such that its axis is perpendicular to that of the larger loop. The smaller loop carries a much smaller current $i$. What is the torque on the smaller loop?
- Fri Apr 26, 2019 4:43 pm
- Forum: Physics
- Topic: BdPhO Regional (Dhaka-South) Higher Secondary 2019/2
- Replies: 3
- Views: 28889
BdPhO Regional (Dhaka-South) Higher Secondary 2019/2
Draw electric field lines.
Consider a conducting sphere with charge $+q$ and a point charge $-q$ kept as shown in the figure.