1
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\vec{A}=\hat{i}+\hat{j}+3 \hat{k}, \vec{B}=-\hat{i}+\hat{j}+4 \hat{k}$ and $\vec{C}=2 \hat{i}-2 \hat{j}-8 \hat{k}$, then the angle between the vectors $\overrightarrow{\mathrm{P}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}$ and $\overrightarrow{\mathrm{Q}}=(\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}})$ is (in degree)

A
$0^{\circ}$
B
$45^{\circ}$
C
$90^{\circ}$
D
$60^{\circ}$
2
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A coil of self-inductance $L$ is connected in series with a bulb and an a. c. source. Brightness of the bulb decreases when

A
an iron rod is inserted in the coil.
B
frequency of a.c. source is decreased.
C
number of turns in the coil is reduced.
D
a capacitance of reactance $\left(\mathrm{X}_{\mathrm{C}}-\mathrm{X}_{\mathrm{L}}\right)$ is included in the same circuit.
3
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

The period of S. H.M. of a particle is 16 second. The phase difference between the positions at $\mathrm{t}=2 \mathrm{~s}$ and $\mathrm{t}=4 \mathrm{~s}$ will be

A
$\pi$
B
$\frac{\pi}{2}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{8}$
4
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body cools from $60^{\circ} \mathrm{C}$ to $40^{\circ} \mathrm{C}$ in 6 minutes. After next 6 minutes its temperature will be (Temperature of the surroundings is $10^{\circ} \mathrm{C}$ )

A
$24^{\circ} \mathrm{C}$
B
$28^{\circ} \mathrm{C}$
C
$18^{\circ} \mathrm{C}$
D
$32^{\circ} \mathrm{C}$

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