Physics-
General
Easy
Question
In Young’s experiment, monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit
![](data:image/png;base64,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)
- The fringes will disappear
- The fringe width will increase
- The fringe width will increase
- There will be no change in the fringe width but the pattern shifts
The correct answer is: There will be no change in the fringe width but the pattern shifts
In the presence of thin glass plate, the fringe pattern shifts, but no change in fringe width.
Related Questions to study
physics-
Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?
![](data:image/png;base64,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)
Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?
![](data:image/png;base64,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)
physics-General
maths-
If
and
, then the possible values of χ between
and
are
If
and
, then the possible values of χ between
and
are
maths-General
maths-
A) Area bounded by = 2 and coordinate axes
B) Area bounded by
and ![x to the power of 2 end exponent equals 4 y](data:image/png;base64,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)
C) Area bounded by
between x=0,x=1,x- axis
D) Area bounded by
and y=2x Arrange the above statements in the ascending order of areas.
A) Area bounded by = 2 and coordinate axes
B) Area bounded by
and ![x to the power of 2 end exponent equals 4 y](data:image/png;base64,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)
C) Area bounded by
between x=0,x=1,x- axis
D) Area bounded by
and y=2x Arrange the above statements in the ascending order of areas.
maths-General
Physics-
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
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)
Physics-General
physics-
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
physics-General
physics-
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in
are respectively
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAEECAMAAADH3xczAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///0pKQikpKUpSSgAAAObe5tbe1s7FzgAICIyEjL29vYyUlGtjY1pSWjExMc7O1ntjc+/v9+/v5joQUhkZIc5aUs5aGaVaUqVaGcVazlJazlJahHMQUoxazhlazhlahHMQGXt7e5zvpRnvY0re5lLOYwje5hnOY3NaOhAQUoRapXNaEFpjWhAICM6UnMVa71Ja71JapXMxUoxa7xla7xlapXMxGRljUhBjGaWlpe/mtcXOEFKMEIzOEBmMEJScnDoQCL2ttWuMpSmMpe9aWu9aEO8ZWu8ZEO+cWu+cEEqMpQiMpcWl5sWE5u+M5s4pUu865s4pGe+Mre86raUpUqUpGcXOMVKMMYzOMRmMMe+978XOc85ahGuM5lKMc8WlECmM5lLvEMUphMUpzlIpzlIphK3O5ozOcxmMc4ylEBnvEIwphIwpzhkpzhkphJzOte9j5u8Q5u9jre8Qre/eWsXvEFKtEO/eEIzvEBmtEM4IUs4IGaUIUqUIGcXOUq1ahEqM5lKMUsWEEAiM5lLOEMUIhMUIzlIIzlIIhIzO5ozOUhmMUoyEEBnOEIwIhIwIzhkIzhkIhJzOlBAZEM6lY+9ae+9aMWutpSmtpWvvpSnvpe8Ze+8ZMe+ce++cMa2lY0rvpQjvpc6EY0qtpQitpWvOpSnOpa2EY0rOpQjOpUI6Qs7mtUJaKYSlc5Sl75SlxSlCUhBCKcWMve+1pc7mlEJaCISlUpSE75SExQhCUhBCCMXvc2vv5lLvc+/ee85apWut5lKtc8XvMVKtMcWlMSmt5lLvMSnv5sUppcUp71Ip71Ippa3v5u/eMYzvMRmtMYzvcxmtc4ylMRnvMYwppYwp7xkp7xkppcXvUmvO5lLvUq1apUqt5lKtUsWEMQit5lLOMSnO5sUIpcUI71II71IIpYzv5ozvUhmtUoyEMRnOMYwIpYwI7xkI7xkIpYSEWu+1xUIQKc7FnEI6EM7v787F762MnO//Ou//vUo6WkpjY0pjSikQKQAAEO///wAAAAPlzMcAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAUAUlEQVR4Xu2dW3LivBKAkWxLWEhiomIDeocF+EmHNWoXPLG4qVQxlaGOZMjENjeb3zRg95dJxiQkITStvqi7NUEQBEEQBEEQBEEQBEGQkWEEO14hgyTbFccrZJAwnx+vkEHCqDteIYOEUdTgocAtIZstIev98RMRRmfHK+TdcTRVS6WkMMdPRFDAw6Ggqqq7B+a4RA+GgpLjVYUMNXgwBA2uLs4HmP88XiHvTrDBJJrg480DBjV4MHCrErL15OhkGZEHrMc4eFAYu9ry8opZGklxiR4WnKyO2WeTMcYELtEDw8hVdVFGGzw0mPLV/SOMgwfDnpc7v47qgw0+gJmswZCpZbC5BaGunqpEDR4KTtMv6jfi43i7BDV4OJjCzWaunudAGzx0UIMHDmrwwMHdpIGDu0kDB23wwJmjgIcNJjoGDi7RAwc1eOCgDX5DRCMdeY0MNfjtMOpM9eQ3hmXHqwMc4+C3o6C+uCRhLimpNQRjRcfbYVSayrqa/sOoabqqCZijgN8MI2ia1qpyKjhKNJ0fb5QYLJt9M1hQ4PSvPDuYQWxksaO1LzFqOefiwf8O1UJIHxSUek/P6iWzC8GI/y7JMsxkhtN0Op2uHv0vv+z2IZ1gUruNKvQ5Ff5cWMPItwazXGuqddD3RzNNp0tU4Z5wxIUwaVKQU9+JLYNs+fbraINNYQPSJ7N89lisTkm1khO5n8wFwaokCDpv6oz5tV0HKRNfWy0NfXwcbJYrhQLuB86D+FTsA+bNp1RQHdydQtOCVUQMsdnA5DRBAfeDibIj6nCjhinolAbva5V+qUoqE0TAapqgDe6R5Ewnf3iaeRHIqbeikgaB2E1icoU2uE925zT4SPCiazYYYjeJL1O0wX2SBCfrElzXU5UwGow2uFeiF30JrnRDwCA2WKEN7pHSi74Eqz/VMBqcJh22qJFbkCsa3ATCBs/VCjW4T645WU0gKjqCDUYvuk+uOVlNoGwwCrhHrtrgBiA2eIledK+czWRdAMgGYyarT85nss4DFAejDe6Ta3FwEwgNZsGLRgH3SLI7XrQAxItGG9wvSQcbDNEfjDa4Z7p50QBLNNrgfrmUyeJSWukanQ0wNhiX6D65sEQzS7WmNGfVQVm4m/SG7M5rcC6LvRHE10pYIZboOe4m9cuFVOVhH8nW+1pgMlkr3E3qk6uZLOfl7+NlBHeT3pBrXnRG0ll1iTYawgbjfnCvXNJgI4SQ6XfzsGHhpvgEaD7Dio6euZSLXmv65f+1Bwen+ot6mj7+eFmMg3vmUi6aiaJwSn33PMQyWpEDaHDMZKGAe+RqLrpIfdUewthgjIN75WoumpG0qrNYVfmGXPCiD+NX5v+O1SnBOPgNuZCLltF/NtbvqtoEk8nC/eBeubBEzzaabDdUNc4PhomDUcA9ciEXbYo/Si0bfcMgmaxlija4T7qVzcJ40WiDe6RLVSWUDUYN7pGXq4vGTFa/vFpdNHY29AzpoMFYVfmGqD/HixZATJvFqsqe4R1cVohps2iDe2ZfzWTcAKKqEjNZT8R4AA1GGwwDK9xnUUtUwtVFow1+PCb3lHpdOx8a4+ABMVOO85w2TwAHscG4RAPAxT44YDKtTRqGykWjgHvEfJQjK8/jUlKd6Y910W8G46LIA64Q87NSzutbd2A2OKwejyb87RA0Jo1BYlhhCfUHqHINjznClK8VvgPVZEEs0cbS6fFvfyQr/fhC4wtkM7KgRNmowVYqHWR8ImLnae25hslFgzhZBuJ4gkiHvZx+EZrImWAmrIbGZLzIFZXVVtEA1/9yz8wplah6Cd5jALLBjKbaxRf3I5nl/nkC5nkjCW1mjdNOOPH22xhmjkRqRbSPAag3KaOpPV4+EvI8Ad+EK28bazZMHAxSFx00WB4vH0gwBE8WsOHn3eeoSSfyHdKsyqDBAAKePFvAzO6CVS2sPXlKuaQn8gXyokGcrJFosKDhyRRa05MdOpumWxmp2sMBZbIMjIC3TxZw4V1QGWrtibrmwaXSm43eVP1mmEwWlA0GcLLM5skC5loat5DZb1mf3T+Z7Ccfk73Z18sBQDQYpjcp2OAOtUp383wbrAmNHaLWt9EaqLpotMH/HXZ4EueSRq1kUv9sKlxwqwMDssEwXvT+eQLOiSt1lrl1EKgjrY50BbLBEBUdYBq8PF5C4yiVP7nn09MpzwITB4OcfAbjRT/RBhshF9R+r8tt1DfAgKbswNhgCC/6mU4Wc7uFbqe53wyos2EUXjS3mqp6Wd11gOqi0Qb3hghOtCzqM4OvwP4HkKocUi76iV70N4Xy2vLGRvAlMA7uyNNz0YHfBVnoQ8h0EwgBZzA2ePBedAWea0qKNkoMkugAs8EAXnT2bBt85LwpNs42ksIgDeBgFR1jyEX/Q6hFo/7PCJs2X+QQGsyXaIN7ZC8+BTNmYvZO16T5UWi/8g0BZxDdhTBzsmC86KdrcJZrT6myThhzGF74DSdfM9lUWJiKjmHVZD3XBnPqlSKaUrpr5DtYkLmlT1iigWwwjBf99Di4mFpmeDGT5JzWnAg4A4mDPeaie0Po/FD5vD+3KsofAZuyk6cYlA0eRUVHvry8HH5UNJhZ6r/8F0hnw4Bs8PPjYLZUF2W2ry7RXBTrtQPSYJg4eAxetFnrlEoXIqXjJ6qYEy8aZIwSWG8SjBf95CWaxEkcdKNkrU30yJO8aJDdpLF40StSiJnU1G/OetFPiIOjDR6SF/3k/WCaf0w+DONFLL2rszdyYU2tmgdEg5cg86JH4kWL3feQlcbQBMMl2fjUkyd0NqAN7hGn7fl6DpbLP9JK+aeqTVCZrMHkoj+e7mRZ76Xgv8850WcAykVDCBhMg5+ci9Z+NaXBhxbVaUkXgdFgmBkdMAJ+dneh4YWLA1j8179jKK+B3YUdeXp3YYQx4XJVm2h3iQHtJg3fi66bXfMj3yv2GKRkZ0hedPZEATPHa8+jYWdi4QY4o6MrTxTwmlJbMPMRNDa8GZGThbpVWclAzmyAymQN3ItmMUNJt9L+slbuNF1oeXMvECRMgslkjSEXXc6qjOU6dEG1suL38fOXgTqzYThe9DMFbAo+ycQstwHHW6U6hpXJGnouek61u9Z2ZhhnjSlpmMnqyFMzWcZSTy6bXTMLa7eWNQkPKJM1hly0KeSXV+vjrQZzqe1spqa2ag9hbDDOquwN5pSnzQakAzMfz3hnGv4Mf5hM1khy0ROTa09mp0uiIV/ls+xq3SswNnhIXvQL5KLZjHji4lzwKkzrUurCq8o+E0ThO5AXHTR4LN2FH+Wojoa3tabbUo3WX9W8IYgGS5Az/IOT9et4+UAMeXZddAnLaVovutsLSsoQii0OmpzNlCKKrGiikkC8bvm2rFy3elukCxJ+C0mSXbsP4XuSZXhYl75+5kP48X/T8m8JVyrZtXxX6vznL72rXZrS8F98yu5B/sfjZ0zGhHDxSA6a0pqAzXpBygCJ+8N6yWYJIWSz0qQUAiHhWTp8uPWe+u+7t3xfhCelvIhPPwkCufUh3HWX+tZ3Dx/ib5qG3xK/8yD0+Nkb7+F+f6ct7xvf409PljQN1+GqfJhdP5yO8e7CR2Gt2sRzdRZUN0cZCnrQXO63tSW68yA009XxDkt02t1X111d4kzf4UWr5HjRHtXhgPWeYTrIlm5k7gpmzMmBK0cb7JeVbBeUgLtbetJVWsHJ6u5FJ909Jvk8AZvcurXgsb//DIkvMyBuVQ+TOutW1uyOuMVdGrzfdNbge+Lg99LgycdZyR6xq2X4stD0PyY62AJCwIZ2jXnuymTp7tJK9PHi1eDJly2cojXbPL9jib69y1wnCPiOkaey66p+VyYr776q3/EtQPAl9ZS4mp9+T6qymUK5xVzdU7JzbTE6y10a3PRUWlA/E+GlMIwHA328cQAm0TGg3aR3Y36HBncFaMpOEPDLLp7PAyYXDVJV+RsmF/1mcAANBqqqxCX6HPfY4JMcyg0ap64wk7VojTNZY47bTU4EfO2k+x/CvbJWj6ikfFiv62WdcocXzXdXyoLOUbfBhdb09Ny9JoxQqkmn4KrpRbNcb24vHMzqsg613UkITMZ7y9vVqi9DZw0OT0jXtEWIg38qOoRU1ipPzhw/X4FbYnOp9ayDEjfj4Nyn6e1CEkHS8IBye7MHJCJ2Ot63eCMV7upFM+nD673b99Qm3RVRVYxKr2sBL3ddXKfjeBoVHUJTEk+AuwEnzSMAL8P0qnvC5sl09aJ5otjJLKYbRA1uCMqlbUTHqe5QyxVscMWLZoly6pB9vwrbHTbZWmDq1U7vAe/Ym/SRmQ/b8UVxpqrSpW38auE7avDPEm3cwhnVQoMFoaJlbsrITfHKeayz3DEIbX+PBtefaWN9i+7lLElPT7S+TM2L5lQxI6dtluiU6pPN87Nkehvcgo2u1R2/OnfURRvZ8XvYybRZUZ6Peo3fuZQktV3c1aoGM0uL+HtvC5gV1kpJFy2kxuhKSSm3/sKUmxdgL9aNNe+OMOkuDa79WiPTen/FKSboylZ/tmuwOlD1omfb8BA/ZAsBHxC6xX5XEHC805wADHC9C5M57xuyuSPR0VmDmzbY2MWh/u8GxtHa3vUNKl4023jBmCAr1zIpYWw9xDoLOxY9Wd/qYFd4uAqRYcMPhNLgiiqZfLFpp1kxmjpetqDiRQu9opR++b9+1/IV4qZtBEzLx52/qIB54qVqygbGBldz0R9usW27ctouReYVGxyH0OQzq1eyaOcQ7W2tkOk8GTksKHbluu8iA8Bsfnpmg9GdNXjSNUyq5aKN0y1iH16OymWqywbgSS7aSH/zN+15KTNB21S22K/lPjw2fVDkl6QiYMPFWqxdx2Ka8F0FmUohOoQKtQ7/wqd2LYRYX/0BjuZCFJZ2KRSoxcERlvy9LQmrCyEc0W1WXa51vhZhFfxvxeuPpHJmQ4gkqKc+7ZboEAldLGJxbhfvp2qD7Sp8c3hbXH1hhaVm4Snt1AdwUpPFZAtV4yo8DV+61TmA4a8PD153Ob4XmPC8/VuRzXwdX7udNTh8U9T9Dhpc202ax7NA4m++/gNMuFOnZSL8mpOKDtYiytqz8FhE2zWXxaXndfW3fmZDCchIf7A5WaOv6AgOcPNF3j1M6gxQRceJDR4jZ85sANHgLs7SvZx40SPk4+TMBoiqykGd4f/inAh4QFWVd3U2DAnupKQplbLqMrI7mkq6Us9kPYzRazC3Wmuy1bVjo4GmzaINhuDYU1QL44BmVaINfhYQYRLa4CcCESbBxcGNGBAB02AgG4y9SSfAnNkwBbLBAHOy3g0YDe5UwH4v6EWfY1g2GAV8wrBsMAr4BKCTz4Bs8Mi9aMMDJzM6BmODQxw8ci/axVoZUi9eAPKi0QYDUChZOOk3te5WzEUPhyJKttmZC3TyGeaiwWh05sJUdGAcDEden76eAewHxzgYQINxsyFipK/13A7IBqOAI+vFdzE4yxUJALRCBg2miVwupXrQvz/hXf5RUxRwtWneOJXsFEkBSnZsCsTotwuZ9H+aiY7HC3jyqeN0qYe9ff+nVdsGhaGS2dqZSREIGzzZGyBeuKkEAhPk2/RmIVKVCAws1+pkcgJEHPx65GX78TX47PoovlckD16mc5/O1RMd49Ngw8tjOq+yJhChe79Y6suz32k1OQmx2fA6mHIvzVh907MM5uzx8WPPMMbmnIW3qisyKg02skyZcn17c2u/rieEzvMGTt2obHC2oVFoRRvZMd1iTiZ7fUMN0V34IjC7nC6sFcxOy9WXOSsPU6JZLuX3jODwSRu/nLWZJZQJ9+qjhSG6C18ERrxfaDrj5YTDvck3mtJZkHDZtEV19Kzj7DVN4zBrM/MtEp/Gqpy/tDfWddrsO5NJ7YyZCBIH1pnc271xlk9MPAtuX1DKgny94nsuo9hdGwHHeUDUNsqgXgqIGR0vgypHEQpNgvyCKx2NEzPG6ZjCLlKaTTih8R4m6uSatguUcu+1vOm0PQ2I7sJXgdEo2aBzuyjgGdWlrzWnXqsk0fHEdFuZ+C0W5b1LWJ7Enbc6uySeXayIT9NUt5iO/BzGFCaJRZnfcAc5c0u9DC6S8DSeGR4lZJKvn+BX0J8yFOOCJJNk9/Me/wvCJUHEqyBg+rI6PKIw6Xsif1iiDzsugqyoiKNFy1uBEBr9KGJBVZtp1Wa2+EuXrxsuZc35wsMls1/li/ngZEXmUWNnP8sy25ZfOQir8LdmWpcEJ0uKF97GGpEGs+RQfzZXnk+KuCSzTRDoZ1kwts/D4pxtYgDF86iPJv/bonzAzIjsNo8PmhHZYJOvtHQhwpVB0EwmUu5IuMmk30qZqHhAi9N0KZc2JnMz61u89PnMvdB4fxa3khrWYlRetN2Uh2+4ONCbqY1WpUYbSTTZlN6VcURvDg7xXDd6QM5huhw58HBCaE9DSBBj/R/YHfOi35ePcntgXm427KtbBRUjerwSi1Ym+JXIleP8U9eLsCDmZL0aLbcLbx+q9WLwcsmx6a+qUwBSk/VqzG9v+AsSsyHviJvWki5jssE/5DdnevNZl1nkL4SRaW14/T1nNiAvyj5jxk6/kzXGZCwzYoQ2eLCsidb+XzKO5XEXlE7Hs104eLgNqPxYg2CKPNyMQT8yJPK0dhTJqPaDRwHXtXYz7GwYDge3nyXpz55nFDBq8FCQ5e6I89+bZSWowcMhp0pKpUmt0BM1eDiwmd4SXTuxYTKmuugxYCbNI/pQgwcOavDAGVFnwzgZ437wqBjlfvCYGOd+8IjARMfAwTBp4KAGDxy0wQMHNXjgsPE0n40TI9+uvhvpwscrz5dAEARBEARBEARBEARBEOSVmUz+DwZqDhs0RZvkAAAAAElFTkSuQmCC)
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in
are respectively
![](data:image/png;base64,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)
physics-General
maths-
The area bounded by
, Y-axis and the line y=e is
The area bounded by
, Y-axis and the line y=e is
maths-General
maths-
If
then the general value of 'α ' is
If
then the general value of 'α ' is
maths-General
maths-
The parabolas
divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If
are respectively the areas of these parts numbered from top to bottom then
is
The parabolas
divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If
are respectively the areas of these parts numbered from top to bottom then
is
maths-General
physics-
The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are
and
respectively, where n is a whole number and
is the wavelength. Taking the central fringe as zero, what is formed at X
![](data:image/png;base64,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)
The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are
and
respectively, where n is a whole number and
is the wavelength. Taking the central fringe as zero, what is formed at X
![](data:image/png;base64,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)
physics-General
maths-
If
then
= ---
If
then
= ---
maths-General
physics-
A particle starts from rest. Its acceleration
time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
physics-General
physics-
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
physics-General
maths-
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
maths-General
physics-
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
![](data:image/png;base64,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)
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
![](data:image/png;base64,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)
physics-General