Maths-
General
Easy
Question
If
divided by 7, the remainder is
- 0
- 1
- 2
- 4
The correct answer is: 0
Related Questions to study
maths-
The remainder when
is divided by 53 is
The remainder when
is divided by 53 is
maths-General
maths-
If
, then ![not stretchy sum subscript r equals 0 end subscript superscript 5 end superscript C subscript 6 r end subscript equals](data:image/png;base64,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)
If
, then ![not stretchy sum subscript r equals 0 end subscript superscript 5 end superscript C subscript 6 r end subscript equals](data:image/png;base64,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)
maths-General
maths-
If
, then
![plus C subscript 28 end subscript equals](data:image/png;base64,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)
If
, then
![plus C subscript 28 end subscript equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAARCAYAAACM0L/dAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAUNJREFUeNpjYKAeUALiLiC+AMTfgPghEDcDsSDDMAIlQLwFiG2BmAkqJgvEBUA8f7A7/j+R6sqBePZQjiViPKoGxHeBmGW4e7QHmjwHwm2EMFU9eg2IVYZiDJISSqBC58dwKEkJxSgbEH8aIpFCcdL9AsRcJDruFxAfxZLkQfXwOmgdDFJzGFpdDYrCaC60DiUFgJJ8FhCfQxO/AsSRUHkmKPv1YPGoPBC/A+JKpBYQBxD7QAPBBY9e9Pz9GlpdMSA1OK4MprwMSoILofkVFDgfgHgNEHvh0WMPxAfRxECBcx+IrYFYC4g3QZPzkAWS0DyK7glRID4ODbRVQDwJiHmGqifVoG1iSSxyoILIDYmvAfXwkIzJbUDMh0P+DxH5eEiAbdBYwgVA3TtzJL4HtIoZkg0QfJW6PDQwfkDxKhxJnCwAAIlKX0Cn3jyzAAAAdXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4rPC9tbz48bXN1Yj48bWk+QzwvbWk+PG1uPjI4PC9tbj48L21zdWI+PG1vPj08L21vPjwvbWF0aD5nQ6fLAAAAAElFTkSuQmCC)
maths-General
physics
A particle goes from point A to B. Its displacement is X and pathlength is y. So ![x over y](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAjCAYAAAB2KjFhAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAAAOpJREFUeNpjYMANkoG4A4t4M1SOZHAOiMWR+IlAPIWBTOABxH1QtgsQ72WgEOwGYnsgvgDEwpQaVgDEv4BYj1KDrIF4DdSrkZQYpATEm4CYC4h5gPgMud4UBeJtaJp9gHgxqQaxAfE6IJbGIrccGsOjYLCD/xTgUTAKBgWYC8ThOIrxVlINiwfiLjQxUKl7i5wS1wuIV6GJ1QNxLTneBNl+Ba0ovwvEHOSG2zckdh80vMgGh6G1lBLUVUyUGLYQiP2AeCkQx1KjNgclkUvUSGsB0MLPjxqGgQw5Tq1cAKrVLalhkA4QbyFFAwDAizLQDzMlXwAAAGJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1pPng8L21pPjxtaT55PC9taT48L21mcmFjPjwvbWF0aD7s0KPoAAAAAElFTkSuQmCC)
A particle goes from point A to B. Its displacement is X and pathlength is y. So ![x over y](data:image/png;base64,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)
physicsGeneral
physics
A car goes from one end to the other end of a semicircular path of diameter ' d '. Find the ratio between path length and displacement.
A car goes from one end to the other end of a semicircular path of diameter ' d '. Find the ratio between path length and displacement.
physicsGeneral
physics
A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and displacement.
![](data:image/png;base64,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)
A particle moves from A to P and then it moves from P to B as shown in the figure. Find path length and displacement.
![](data:image/png;base64,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)
physicsGeneral
physics-
If the thickness of the wire is doubled, then the breaking force in the above question will be
If the thickness of the wire is doubled, then the breaking force in the above question will be
physics-General
physics-
The Young’s modulus of the material of a wire is
If the elongation strain is
, then the energy stored in the wire per unit volume in
is
The Young’s modulus of the material of a wire is
If the elongation strain is
, then the energy stored in the wire per unit volume in
is
physics-General
physics-
The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
Area of cross-section of wire ![10 to the power of negative 6 end exponent m to the power of 2 end exponent](data:image/png;base64,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)
Extensional of wire ![2 cross times 10 to the power of negative 9 end exponent m](data:image/png;base64,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)
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is ![10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAARCAYAAACoyTAdAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAfpJREFUeNrtl8FHRFEUxsfIGBnRaoxkSNJ/0KJFIiMjSSStZhGzaNUuSVq1TVpERkaSSFqlTUaSFpGkRdKmVTKbkRYjI+o7fPE8987r3Xn3NcN8/BZzPmfmvTP3nnNvJGJPA2AV3Bv6raJvUgPXoD+MH90Hef6wid9qioIFcBf2P9uI32r6bBfXjkbApWmfFHWBbXBDdhizVdx3kNN4VW5Hm71UhUop9tw+0z4pKoFJx+cJxmwUV4bDI7jSeA9NsmJlUZ6ywMZbeQZsKeKbYM5CcafAAdjjC7i9wyYorBT0zGP3/umFj0FGER+lF3Rx18ASv39d43nlJrkgyuANZOl3gw1QAR9g2bC4UtjBIIaQPEhMEY/x4b16lh9fdMQVGmE/03kRTa4U+Ja7qgOkwQtXmwyeWcZ7OeWTAfVmo+J+1cmpWdhyz6DHsRLHHN6Tw9PllrhCnXoFBU08FUYfMSlu0Oe7KE8Dv0qz96o8XW6nz/i/nk3LmrYQV7SFRjUELlyxc5DQeF65JvFQiytDa1wRz9QZaKaSPll0xXI8Kqo8r1yTeKjFnWa/cqtY5yhmKpnw84rBWaKX98jNBxAP/coq22eRU1ZedqXela8BnTiOTU4VeHnIGuT6jVu/8rklU3aXA6zK62/CwrNU2MvdGuZzxQ1y/cbbalb9ACKUoFQB3N91AAAAs3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtbj4xMDwvbW4+PG1uPjExPC9tbj48L21zdXA+PG1pPk48L21pPjxtaT4mI3hBMDs8L21pPjxtc3VwPjxtaT5tPC9taT48bXJvdz48bW8+LTwvbW8+PG1uPjI8L21uPjwvbXJvdz48L21zdXA+PC9tYXRoPrVL54cAAAAASUVORK5CYII=)
II. The strain is ![10 to the power of negative 3 end exponent](data:image/png;base64,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)
III. The energy stored in the wire when the load is applied is 10 J
The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
Area of cross-section of wire ![10 to the power of negative 6 end exponent m to the power of 2 end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAARCAYAAABq+XSZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAcZJREFUeNrtl8FHBFEcx0eykhV7WntIJEnStVPSZa2kQyTp1KVDp25J0n+QrESSlW5Jp3RLOnRYVjoPSYdkxR46rLWW+v74LmO8mdl5703m0JcPO7+ZeW9+773f9711nHRoBjyCFvghttRtrw2ewJiTIk2CZzCVcD99YIt9pUYXYPYP+2ulKfkvsA7egQtWEuxrjuWl1DjYBy8hDQyBE1Alp4wF1ZoKrzrgjG1k+HsjgcQLrPnRoAcuwWaE4dyDJc/1ImO6clmPXWW5CmxKJvWWA9CTQ6okS7KsiB+BNc0Pk5nOea5l9muWZ/wuYHXGSv4aFBXxed7T0TRNTz6uHxyDku+ZA7AD8hz8OvgEC7wvg3cIGuAb7HrelcQn4u6NKjU4M35l+EG6EsN7ZRsqw7viANS4wmSQRsAbZ1ZMbJXxYTp6PsR7tJLvhLzTTtClXfpKzhf/UJRNN17Q7Uwn+aT2TzHDJhiMGXdsJ18PWPYDhss+6uj7YCHu2DC8kiJeNDC8KEmNVyzEjZNfZo35VTHY6qJU5tnDNG6cvMMltU1nlRLYCzsyWtCNZ0sziff89y9sWxBnPafBNXm8zSaYfIOeYhr/l1e/8Mp3afI7w78AAACZdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1uPjEwPC9tbj48bXJvdz48bW8+LTwvbW8+PG1uPjY8L21uPjwvbXJvdz48L21zdXA+PG1zdXA+PG1pPm08L21pPjxtbj4yPC9tbj48L21zdXA+PC9tYXRoPvdBp+MAAAAASUVORK5CYII=)
Extensional of wire ![2 cross times 10 to the power of negative 9 end exponent m](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAARCAYAAABO4PtZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAfNJREFUeNrtl8FLAkEUxpcQEZHAQ4hIBBER/QMRHsKLREiEEBLdO3eLiOg/iJAIJKJDt4jo4C0iJDoEEdGhQxDRIcKLhw4iEti38AnLNo7OzE6X9oMfsm91xv1m3nuzjvP/tASewRNYdkJpyTVuH0TACKiCYmiLuh5oYlcZcBPaoi43neOe6yHQDHKCLDgDX6ANHsGq5YeaBNucq5eGwQG4IxXG/OpI8CoHDkGU41T4vIGpBlZAgtfT4JYxWzoBa4KH9eoKLHquC4yZNptX8A5K/LSqMaaCbXUkjaEsiO8FuMAFNh/raknubRHVe4Ma6ZaavCCe4z1TzbGsZHzxHbABUlzIOvgEC7yfBLugwVK42W+iWaa3o2imiokyIxusZX5F+XC6u7/DDXIBJgTfOaWZ99z5EWbnG0izDJYYH+VYqV4TxljcswP8Oa9xqibKjPyW/KZtMQtfWIeTvvgHG5UonhYNlORq5RUmd8271DBR18iWJRO7x6G4YvyXxiVb/q+NrPdI7ZhBavfTDLg2jU9x68Y1TLSR2m5DmRfE8wE1G5HcmnhsEk+xyEYMTAy62RS5sH4dWzzflnm21Y5XuSNNTQzy+OMwbda5wFGOWbPYaM49xxyt+KCvWEEfxPvN5Ta+IzaXJl/pEhb/U4M12DQeSlc/ju2MaXZIepkAAACbdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtbz4mI3hENzs8L21vPjxtc3VwPjxtbj4xMDwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj45PC9tbj48L21yb3c+PC9tc3VwPjxtaT5tPC9taT48L21hdGg+FeGYpwAAAABJRU5ErkJggg==)
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is ![10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent](data:image/png;base64,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)
II. The strain is ![10 to the power of negative 3 end exponent](data:image/png;base64,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)
III. The energy stored in the wire when the load is applied is 10 J
physics-General
physics-
Which of the following relations is true
Which of the following relations is true
physics-General
physics
A particle moves from A to B and then it moves from to as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,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)
A particle moves from A to B and then it moves from to as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,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)
physicsGeneral
Maths-
If
then det A=
If
then det A=
Maths-General
Maths-
Maths-General
physics
Frame of reference is a ... and a ···.. from where an observer takes his observation,
Frame of reference is a ... and a ···.. from where an observer takes his observation,
physicsGeneral
physics
To locate the position of the particle we need
To locate the position of the particle we need
physicsGeneral