1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ccc}0 & x & 16 \\ x & 5 & 7 \\ 0 & 9 & x\end{array}\right]$$ is a singular matrix then $$x$$ is equal to

A
$$-12$$
B
21
C
$$-144$$
D
144
2
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the nature of the function $$f(x)=x^3-3 x^2+4 x$$ on real numbers?

A
Strictly decreasing
B
Decreasing
C
Increasing
D
Constant
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The binding energy per nucleon for $$\mathrm{C}^{12}$$ is $$7.68 \mathrm{~MeV}$$ and that for $$\mathrm{C}^{13}$$ is $$7.47 \mathrm{~MeV}$$. The energy required to remove a neutron from $$\mathrm{C}^{13}$$ is

A
$$7.92 \times 10^{-13} \mathrm{~MeV}$$
B
$$4.95 \times 10^{-13} \mathrm{eV}$$
C
$$7.92 \times 10^{-13} \mathrm{~J}$$
D
$$7.92 \times 10^{-19} \mathrm{~J}$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The distance of closest approach when an alpha particle of kinetic energy $$6.5 \mathrm{~MeV}$$ strikes a nucleus of atomic number 50 is

A
0.221 fm
B
1.101 fm
C
0.0221 fm
D
4.42 fm
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