Q.11 Assume that the gene UNC is essential for the coordinated movement of a nematode and that thewild-type allele U is dominant over the mutant allele u. Similarly, the wild-type […]
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Continuity of Function \(\tan x / x\) at \(x=0\)
Q.10 Let the function f : ℝ → ℝ be defined by f(x) = f(x) = \[ \begin{cases} \frac{\tan x}{x} & \text{if } x \neq 0, \\ k & \text{if […]
De Moivre’s Theorem Solution & Explanation
Q.9 The value of the complex number (1+i)^150+(1+i)^150 is _____. (1+i)^150 + (1-i)^150 equals 2^151. This complex number problem simplifies using polar form and De Moivre’s theorem.[code_execution] Correct Answer […]
Total Number of Mappings from {1,2} to {3,4,5,6,7}
Q.8 The total number of mappings from the set {1,2} to the set {3, 4,5,6,7} is _____. The total number of mappings from the set {1,2} to {3,4,5,6,7} is 25. […]
Maximum Distance FM Radio Signal 50m Antenna 107 MHz
Q.7 A 50-metre tall antenna transmits at 107 MHz (one of the FM radio broadcast frequencies). Calculate the maximum distance from the antenna at which the transmitted signal can be […]
Elevator Weighing Scale Physics
Q.6 A man weighing 70 kg stands on a weighing scale which is placed in an elevator. The elevator is moving up towards its destination floor with a velocity of […]
Number of P-H Bonds in H3PO2
Q.5 The number of phosphorous-hydrogen bonds in H 3 PO2 is ____ H3PO2, known as hypophosphorous acid, contains exactly 2 phosphorus-hydrogen (P-H) bonds. This structure explains its strong reducing properties […]
Number of Peaks in the 1313C‑NMR Spectrum of CDCl33
Q.4 The number of peaks in the 13 C-NMR spectrum of CDCl3 is ____ The 1313C‑NMR spectrum of CDCl33 shows three peaks, appearing as a triplet near 77 ppm. Introduction In NMR spectroscopy, […]
Enzyme Specific Activity Calculation
Q.3 An enzyme preparation containing 10 mg/ml protein shows a specific activity of 50 U/mg. Theinitial velocity of reaction in a standard 1 ml reaction mixture containing 10 μl of […]
Enzyme Deactivation Rate Constant 0.346 h⁻¹
Q.2 The deactivation rate constant of an enzyme is 0.346 h –1 . Assuming that the deactivation processfollows first order kinetics, the half life of the enzyme in minutes is […]


