Waves & Oscillation
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to α times its original magnitude, where α equals.
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If z is a complex number such that ∣z∣≥2, then the minimum value of ∣∣z+21∣∣
The integral ∫24logx2+log(36−12x+x2)dxlogx2 is equal to:
(lim)x0((1−cos2x)xtan4x3+cosx is equal to:
If (10)9+2(11)1(10)8+3(11)2(10)7+¨+10(11)9=k(10)9, then k is equal to
If x, y, z are in A.P. and tan−1x,tan−1yandtan−1zare also in A.P., then
The order of stability of the following carbocations:
The number of integers greater than 6,000 that can be formed, using the digits 3,5,6,7and8, without repetition, is :
A compound with molecular mass 180 is acylated with CH3COCl to get a compound with molecular mass 390. The number of amino groups present per molecule of the former compound is: