1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is displaced from point $\mathrm{P}(3 \mathrm{~m}, 4 \mathrm{~m}, 5 \mathrm{~m})$ to a point $\mathrm{Q}(2 \mathrm{~m}, 3 \mathrm{~m}, 4 \mathrm{~m})$ under a constant force $\overrightarrow{\mathrm{F}}=(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}) \mathrm{N}$. The work done by the force in this process is

A
+10 J
B
+4 J
C
-8 J
D
-12 J
2
MHT CET 2025 22nd April Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass 1 kg begins to move under the action of a time dependent force $\overrightarrow{\mathrm{F}}=\left(\hat{\mathrm{t}}+2 t^2 \hat{\mathrm{j}}\right) \mathrm{N}$, where $\hat{i}$ and $\hat{j}$ are unit vectors along $x$ and $y$ axis. The power developed by above force at time $\mathrm{t}=3$ second will be

A
337.5 W
B
228.5 W
C
422.5 W
D
126.5 W
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A stone is projected with kinetic energy E, making an angle $\theta$ with the horizontal. When it reaches a highest point, its kinetic energy is

A
$\mathrm{E}^2 \sin ^2 \theta$
B
$\mathrm{E} \sin \theta$
C
$E \cos ^2 \theta$
D
$\mathrm{E} \cos \theta$
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A stone of mass 1 kg tied to a light inextensible string of length $L=\frac{5}{3} m$ is rotating in a circular path of radius $L$ in a vertical plane. If the ratio of maximum tension in the string to the minimum tension in the string is 3 , the speed of the stone at the highest point of the circle is ( $\mathrm{g}=$ acceleration due to gravity)
A
$\sqrt{\mathrm{gL}}$
B
$\sqrt{2 \mathrm{gL}}$
C
$\sqrt{4 \mathrm{gL}}$
D
$\sqrt{8 \mathrm{gL}}$
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