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Maths-

General

Easy

Question

If $left curly bracket x right curly bracket$ denotes fractional part of $x$ then $left curly bracket fraction numerator 2 to the power of 2003 end exponent over denominator 17 end fraction right curly bracket equals$

$\frac{2}{17}$
$\frac{4}{17}$
$\frac{6}{17}$
$\frac{8}{17}$

The correct answer is: $fraction numerator 8 over denominator 17 end fraction$

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$404 C subscript 4 end subscript minus C subscript 4 end subscript. C subscript 1 end subscript plus 2024 minus 1014 equals$

The number of rational terms in the expansion of $left parenthesis 1 plus square root of 2 plus root index 3 of 3 end root right parenthesis to the power of 6 end exponent$ is

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If $2 to the power of 2006 end exponent minus 2006$ divided by 7, the remainder is

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If $C subscript r end subscript equals 32 C subscript r end subscript$ , then $not stretchy sum subscript r equals 0 end subscript superscript 5 end superscript C subscript 6 r end subscript equals$

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$bullet$ If $C subscript r end subscript equals to the power of 30 end exponent C subscript r end subscript$ , then $C subscript 0 end subscript plus C subscript 4 end subscript plus C subscript 8 end subscript plus$ $plus C subscript 28 end subscript equals$

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physics-General

The Young’s modulus of the material of a wire is $2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent.$ If the elongation strain is $1 percent sign$ , then the energy stored in the wire per unit volume in $J m blank to the power of negative 3 end exponent$ is

The Young’s modulus of the material of a wire is $2 cross times 10 to the power of 10 end exponent N m to the power of negative 2 end exponent.$ If the elongation strain is $1 percent sign$ , then the energy stored in the wire per unit volume in $J m blank to the power of negative 3 end exponent$ is

physics-General

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 $10 to the power of negative 6 end exponent m to the power of 2 end exponent$
Extensional of wire $2 cross times 10 to the power of negative 9 end exponent m$
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is $10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent$
II. The strain is $10 to the power of negative 3 end exponent$
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 $10 to the power of negative 6 end exponent m to the power of 2 end exponent$
Extensional of wire $2 cross times 10 to the power of negative 9 end exponent m$
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is $10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent$
II. The strain is $10 to the power of negative 3 end exponent$
III. The energy stored in the wire when the load is applied is 10 J

physics-General

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physics-General

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