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The dimensions of m/n in the equation P=(m-t²)/nx where P is the pressure, x is distance, t is time are:

M²L/T³

M/T²

L/T³

ML³/T

A X B = C+D [where A,B,C,D are vectors and X represents the cross product, then:

B is parallel to C+D

A is perpendicular to C

component of C along A = component of D along A

component of C along A = - (component of D along A)

if a & b are two non-collinear unit vectors and if |a+b|=v3, then (a-b)(2a+b) has a value:

1/2

3/2

1

2

A particle of mass 3 kg moves under a Force of 4i+8j+10k Newton. If the particle starts from rest and was at the origin initially, its new co-ordinates after 3 sec will be:

(12, 6, 15)

(6, 12, 15)

(15, 12, 6)

(12, 4, 15)

What physical quantity has the dimensions ML²/T²

Surface Tension

Kinetic Energy

Momentum

Power

The volume V of water passing any point of a uniform tube during t sec is related to the cross sectional area A of the tube and velocity u of water by the relation V a (A^a)(u^b)(t^c) which one of the following is true?

a=b=c

a?b=c

a=b?c

a?b?c

What happens when a vector is multiplied by a number -2?

the magnitude is doubled but its direction remains the same

the mag. is doubled and the dir. is reversed

the mag. remains the samebut its dir. is reserved

none

On Dimensional Analysis of the equation (speed)^(n/2)=(Pressure/Density)^(3/4) gives n=?

2

4

3

-5

The dimensional formula of 3.14 calorie is :

4ML²/T²

2ML²/T²

ML²/T²

None of these.

A resistor of 4K ohms with tolerance 10% is connected in parallel with a resistor of 6k ohms with tolerance 10%. the tolerance of the combination is nearly:

10%

13%

20%

40%

The number of significant figures in 0.00040 meter is:

1

2

3

4

Error in measurment of radius sphere is 1%. The errorin measurement of its volume is :

1%

3%

5%

9%

A train is travelling due south at a rate 40 m/s. The rain which is falling at an angle 30 degrees with the vertical appears falling vertically on the window pane of the train. Find the speed of the train.

60 m/s

80 m/s

40 m/s

none of these

The product a.(b x c) where a,b,c are vectors represents the:

Area of a parralelopiped

Surface Area of a parralelogram

Volume of a parralelopiped

N.O.T

A man flies from Washington to Agra. Find the displacement vector if the latitude and longitude of the two cities are (39 deg. N, 77 deg. W ) & (15 deg N, 121 deg E)

10040 km

9020 km

8090 km

10200 km

If L & M represent two length vectors, then |LXM| represents:

Area of a triangle

Area of a parallalogram

Zero

N.O.T

The resultant of two equal forces is double of either of the force. The angle between them is:

90 deg.

120 deg.

180 deg.

0 deg.

I started walking down a road to day break facing the sun. After walking for sometime, I turned to my left then turned to the right again. In which direction was I going then?

N-E

S

E

N-W

The decimal equivalent of 1/20 upto 3 significant digits is:

0.0500

0.05000

0.0050

N.O.T

A ball is thrown with a vel. 8j. The acceleration is 4i+2j. Find the displacement after 5 seconds.

52 m

68 m

82 m

115 m

Two identical pendulums are tied from the same rigid support. One is tied horizontally. The other is released when they are making the same angle '?' with the vertical. The ratio of the tensions T1:T2 is:

tan²?

cot²?

sec²?

1

A man moves on his bike with 45 km/h and then takes a U-turn and continues to move with the same velocity. The time of U-turn is 10sec. Find the avg. acc. during the U-turn.

0 m/s²

3 m/s²

1.5 m/s²

n.o.t

A man doing yoga balances himself horizontally on his arms. Assuming that the force on each arm is equal, find the force on each arm.

mg

mg/2

mg/3

mg/4

Which of the vector combination is not feasable to be in equillibrium?

10,10,10

5,10,12

10,5,17

5,12,13

If a, b are unit vectors along i+j & i-j, then the angle b/w a & b is:

60 deg.

45 deg.

90 deg.

120 deg.

M²L/T³

M/T²

L/T³

ML³/T

A X B = C+D [where A,B,C,D are vectors and X represents the cross product, then:

B is parallel to C+D

A is perpendicular to C

component of C along A = component of D along A

component of C along A = - (component of D along A)

if a & b are two non-collinear unit vectors and if |a+b|=v3, then (a-b)(2a+b) has a value:

1/2

3/2

1

2

A particle of mass 3 kg moves under a Force of 4i+8j+10k Newton. If the particle starts from rest and was at the origin initially, its new co-ordinates after 3 sec will be:

(12, 6, 15)

(6, 12, 15)

(15, 12, 6)

(12, 4, 15)

What physical quantity has the dimensions ML²/T²

Surface Tension

Kinetic Energy

Momentum

Power

The volume V of water passing any point of a uniform tube during t sec is related to the cross sectional area A of the tube and velocity u of water by the relation V a (A^a)(u^b)(t^c) which one of the following is true?

a=b=c

a?b=c

a=b?c

a?b?c

What happens when a vector is multiplied by a number -2?

the magnitude is doubled but its direction remains the same

the mag. is doubled and the dir. is reversed

the mag. remains the samebut its dir. is reserved

none

On Dimensional Analysis of the equation (speed)^(n/2)=(Pressure/Density)^(3/4) gives n=?

2

4

3

-5

The dimensional formula of 3.14 calorie is :

4ML²/T²

2ML²/T²

ML²/T²

None of these.

A resistor of 4K ohms with tolerance 10% is connected in parallel with a resistor of 6k ohms with tolerance 10%. the tolerance of the combination is nearly:

10%

13%

20%

40%

The number of significant figures in 0.00040 meter is:

1

2

3

4

Error in measurment of radius sphere is 1%. The errorin measurement of its volume is :

1%

3%

5%

9%

A train is travelling due south at a rate 40 m/s. The rain which is falling at an angle 30 degrees with the vertical appears falling vertically on the window pane of the train. Find the speed of the train.

60 m/s

80 m/s

40 m/s

none of these

The product a.(b x c) where a,b,c are vectors represents the:

Area of a parralelopiped

Surface Area of a parralelogram

Volume of a parralelopiped

N.O.T

A man flies from Washington to Agra. Find the displacement vector if the latitude and longitude of the two cities are (39 deg. N, 77 deg. W ) & (15 deg N, 121 deg E)

10040 km

9020 km

8090 km

10200 km

If L & M represent two length vectors, then |LXM| represents:

Area of a triangle

Area of a parallalogram

Zero

N.O.T

The resultant of two equal forces is double of either of the force. The angle between them is:

90 deg.

120 deg.

180 deg.

0 deg.

I started walking down a road to day break facing the sun. After walking for sometime, I turned to my left then turned to the right again. In which direction was I going then?

N-E

S

E

N-W

The decimal equivalent of 1/20 upto 3 significant digits is:

0.0500

0.05000

0.0050

N.O.T

A ball is thrown with a vel. 8j. The acceleration is 4i+2j. Find the displacement after 5 seconds.

52 m

68 m

82 m

115 m

Two identical pendulums are tied from the same rigid support. One is tied horizontally. The other is released when they are making the same angle '?' with the vertical. The ratio of the tensions T1:T2 is:

tan²?

cot²?

sec²?

1

A man moves on his bike with 45 km/h and then takes a U-turn and continues to move with the same velocity. The time of U-turn is 10sec. Find the avg. acc. during the U-turn.

0 m/s²

3 m/s²

1.5 m/s²

n.o.t

A man doing yoga balances himself horizontally on his arms. Assuming that the force on each arm is equal, find the force on each arm.

mg

mg/2

mg/3

mg/4

Which of the vector combination is not feasable to be in equillibrium?

10,10,10

5,10,12

10,5,17

5,12,13

If a, b are unit vectors along i+j & i-j, then the angle b/w a & b is:

60 deg.

45 deg.

90 deg.

120 deg.

MCQ's on Dimensions, Vectors & Significant Figures

Good Practice but some questions are slightly substandard. Nevertheless, good for starters.

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Co-ordinate Geometry : Straignt Lines**

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