Laws of Motion Test

Result

Laws of Motion Test - 75

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Weekly Quiz Competition

Question 1
1 / -0

If the banking angle of curved road is given is given by $$\tan ^{ -1 }{ \left( \cfrac { 3 }{ 5 } \right) } $$ and the radius of curvature of the road is $$6m$$ then the sale driving speed should not exceed ($$g=10m/{s}^{2}$$)

A
$$86.4km/h$$

B
$$43.2km/h$$

C
$$21.6km/h$$

D
$$30.4km/h$$

Solution
Question 2
1 / -0

A mass $$'m'$$ kg is whirled in a vertical plane by trying it at the end of a flexible wire of length $$'L'$$ and area of cross section $$'A'$$ such that it just completes the vertical circle. When the mass is at its lowest position. the string produced in the wire is

A
AY /6mg

B
6 mg/AY

C
5 mg/AY

D
AY/ 5mg

Solution
Question 3
1 / -0

A point starts from rest and moves along a circular path with a constant tangential acceleration. After one rotation, the ratio of its radial acceleration to its tangential acceleration will be equal to:

A
$$1$$

B
$$2\pi$$

C
$$\cfrac{1}{2}\pi$$

D
$$4\pi$$

Solution
Question 4
1 / -0

A cube of size 10 cm is floating in equilibrium in a tank of water. When a mass of 10 gm is placed on the cube, the depth of cube inside water increase by $$(g=10m/{ s }^{ -2 }$$, density of water = $$1000kg/{ m }^{ 2 })$$

A
0.1 mm

B
4 m

C
1 mm

D
0.1 m

Solution
Question 5
1 / -0

A uniform circular disc of radius R is placed on a smooth horizontal surface with its plane horizontal and hinged at circumference through point O as shown. An impulse P is applied at a perpendicular distance h from its centre C. The value of h so that the impulse due to hinge zero, is

A
R

B
R/3

C
R/2

D
R/4

Solution
Question 6
1 / -0

A bullet of mass m strikes a pendulum bob of mass M with velocity u. It passes through and emerges out with a velocity u/2 from bob. The length of the pendulum is l. What should be the minimum value bob u if the pendulum bob will swing through a complete circle?

A
$$\frac{{2M}}{m}\times \,\sqrt {5gl\,} $$

B
$$\frac{M}{{2m}}\times \,\sqrt {5gl\,} $$

C
$$\frac{{2M}}{m}\times \,\dfrac{1}{{\sqrt {5gl\,} }}$$

D
$$\frac{M}{{2m}}\times \,\dfrac{1}{{\sqrt {5gl\,} }}$$

Solution
Question 7
1 / -0

Two bodies $$A$$ and $$B$$ of masses $$20kg$$ and $$5kg$$ respectively. Each one is acted upon by a force of $$4kg$$ $$wt.$$. If they acquire the same kinetic energy in times $${t}_{A}$$ and $${t}_{B}$$, then ratio of $$\cfrac{{t}_{A}}{{t}_{B}}$$ is:

A
$$\cfrac{1}{2}$$

B
$$\cfrac{2}{5}$$

C
$$\cfrac{5}{6}$$

D
$$2$$

Solution
Question 8
1 / -0

A partide is moving along a vertical circle of radius R.at P what will be the velocity of partide (assume critical condition at C)?

A
$$\sqrt {gR} $$

B
$$\sqrt {2gR} $$

C
$$\sqrt {3gR} $$

D
$$\sqrt {\frac{3}{2}gR} $$

Solution
Question 9
1 / -0

In a carom-board game the striker and the coins are identical and of mass m. In a particular hit the coin is hit when it is placed close to the edge of the board as shown in figure such that the coin travels parallel to the edge. If the striker is moving with speed v before the strike , then the net impulse on the striker during collision if it moves perpendicular to the edge is (assume all collisions to be perfectly elastic)

A
$$mv\sqrt { \dfrac { 5 }{ 2 } } $$

B
$$2 mv $$

C
$$ \dfrac { mv\sqrt { 3 } }{ 2 } $$

D
mv

Solution
Question 10
1 / -0

A particle is whirled in a vertical circle of radius 1.0 m using a string with one end fixed. If the ratio of maximum and minimum tension in the string is $$\frac{5}{3}$$, the minimum velocity of the particle during circular motion is :

A
$$\sqrt {10}$$ m/s

B
$$\sqrt {50}$$ m/s

C
$$10$$ m/s

D
$$10\sqrt 5$$ m/s