1
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A stone is projected at angle $$\theta$$ with velocity $$u$$. If it executes nearly a circular motion at its maximum point for short time, then the radius of the circular path will be ( $$g=$$ acceleration due to gravity)

A
$$\frac{u^2}{g}$$
B
$$\frac{u^2 \cos ^2 \theta}{g}$$
C
$$\frac{u^2 \sin ^2 \theta}{g}$$
D
$$\frac{u^2 \cos ^2 \theta}{2 g}$$
2
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle is moving in a circle with uniform speed '$$v$$'. In moving from a point to another diametrically opposite point

A
the momentum changes by $$\mathrm{mv}$$
B
the momentum changes by $$2 \mathrm{~mv}$$
C
the kinetic energy changes by $$\frac{1}{2} \mathrm{mv}^2$$
D
the kinetic energy changes by $$\mathrm{m v^2}$$
3
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A body of mass '$$\mathrm{m}$$' attached at the end of a string is just completing the loop in a vertical circle. The apparent weight of the body at the lowest point in its path is ( $$\mathrm{g}$$ = gravitational acceleration)

A
zero
B
$$\mathrm{mg}$$
C
$$3 \mathrm{~mg}$$
D
$$6 \mathrm{~mg}$$
4
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A railway track is banked for a speed ',$$v$$' by elevating outer rail by a height '$$h$$' above the inner rail. The distance between two rails is 'd' then the radius of curvature of track is ( $$\mathrm{g}=$$ gravitational acceleration)

A
$$\frac{\mathrm{v}^2 \mathrm{~d}}{\mathrm{gh}}$$
B
$$\mathrm{\frac{2 v^2}{g d h}}$$
C
$$\mathrm{\frac{g d}{2 v^2 h}}$$
D
$$\mathrm{\frac{v^2}{2 g h d}}$$
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