Motion in 2-Dimensions

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Motion in 2-Dimensions

Test1 Max. Marks = 40

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1. A particle p is moving in a circle of radius “a” with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio

4 points

(a) 1 : 1

(b) 1 : 2

(d) 4 : 1

Clear selection

2. The ratio of angular speeds of minute hand and hour hand of a watch is

4 points

(a) 1 : 12

(b) 6 : 1

(d) 1 : 6

Clear selection

3. The second's hand of a watch has length 6 cm. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be

4 points

(a) 6.28 and 0 mm/s

(b) 8.88 and 4.44 mm/s

(d) 6.28 and 8.88 mm/s

Clear selection

4. Find the maximum velocity for skidding for a car moved on a circular track of radius 100 m. The coefficient of friction between the road and tyre is 0.2

4 points

(a) 0.14 m/s

(b) 140 m/s

(d) 14 m/s

Clear selection

5. If a particle covers half the circle of radius R with constant speed then

4 points

(a) Momentum change is mvr

(b) Change in K.E. is 1/2 mv²

(d) Change in K.E. is zero

Clear selection

6.A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take g = 10 m s⁻²)

4 points

(a) 4 m/s

(b) 6.25 m/s

(d) None of the above

Clear selection

4 points

(a) 1

(b) 2

(d) 5

Clear selection

8. A car is moving with speed 30 m s⁻¹ on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m s⁻². What is the acceleration of the car

4 points

(a) 2 m s⁻²

(b) 2.7 m s⁻²

(d) 9.8 m s⁻²

Clear selection

9. An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

4 points

(a) 1200 m

(b) 0.33 km

(d) 33 km

Clear selection

10.A large number of bullets are fired in all directions with same speed v. What is the maximum area on the ground on which these bullets will spread

4 points

(a)

(b)

(c)

(d)

Clear selection

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