A code word of length 4 consists two distinct consonants in the English alphabet followed by two digits from 1 to 9, with repetition allowed in digits. If the number of code words so formed ending with an even digit is 432<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&nbsp;</mo><mi>k</mi></math>, then&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&nbsp;</mo><mi>k</mi></math>&nbsp;is equal to

A liquid with coefficient of volume expansion&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">γ</mi></math>&nbsp; is filled in a container of material having coefficient of linear&nbsp;expansion&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">α</mi></math>. If the liquid overflows on heating

The reactance of a&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn><mtext> </mtext><mi>μF</mi></math>&nbsp;capacitor at the ac frequency of 4000 Hz is&nbsp;

The rms value of conduction current in a parallel plate capacitor is 6.9&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">μ</mi></math>A. The capacitance of this capacitor, if it is connected to 230 V ac supply with an angular frequency of 600 rad/s, will be :

What length of brass and iron at&nbsp;&nbsp;<math><m:semantics><m:mrow><m:msup><m:mn>0</m:mn>&nbsp;<m:mn>0</m:mn>&nbsp;</m:msup><m:mi>C</m:mi></m:mrow>&nbsp;</m:semantics></math>&nbsp; must be used if difference between their lengths is always&nbsp;<math><m:semantics><m:mrow><m:mn>0.2</m:mn><m:mi>m</m:mi></m:mrow>&nbsp;</m:semantics></math>&nbsp;?&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><msub><mi>α</mi><mrow><mi>b</mi><mi>r</mi></mrow></msub><mo>=</mo><mn>18</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup><mo>/</mo><mo>°</mo><mi>C</mi><mo>,</mo><mo>&nbsp;</mo><msub><mi>α</mi><mrow><mi>i</mi><mi>r</mi><mi>o</mi><mi>n</mi></mrow></msub><mo>=</mo><mn>12</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>16</mn></mrow></msup><mo>/</mo><mo>°</mo><mi>C</mi></mrow></mfenced></math>?&nbsp;

A disc of mass &nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">m</mi></math>&nbsp;and radius &nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">R</mi></math>&nbsp;has a concentric hole of radius&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">r</mi></math>&nbsp; . Its moment of inertia about an axis through centre and normal to its plane is

A code word of length 4 consists two distinct consonants in the English alphabet followed by two digits from 1 to 9, with repetition allowed in digits. If the number of code words so formed ending with an even digit is 432 $k$ , then $k$ is equal to

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A code word of length 4 consists two distinct consonants in the English alphabet followed by two digits from 1 to 9, with repetition allowed in digits. If the number of code words so formed ending with an even digit is 432 k, then k is equal to

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A code word of length 4 consists two distinct consonants in the English alphabet followed by two digits from 1 to 9, with repetition allowed in digits. If the number of code words so formed ending with an even digit is 432 $k$ , then $k$ is equal to