Physics Test 112

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Physics Test 112

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Question 1
4 / -1

If two numerically equal forces P & P acting at a point produce a resultant force of magnitude P itself, then the angle between the two original forces is

A
0°

B
60°

C
90°

D
120°

Solution

Since magnitude of all vectors is same let it be R then : R²=R²+ R²+2R×Rcosθ ; R²=2R²+2R²cosθ

Solving equation we get cosθ=(-1/2) ; θ=120 degrees
Question 2
4 / -1

A physical quantity X is related to four observables a,b,c & d as follows X = a³b²/d√c. The percentage error of measurement in a,b,c and d are 1%,3%,4% & 2% respectively, the percentage error in the quantity X is

A
13%

B
14%

C
17%

D
24%

Solution
Question 3
4 / -1

A particle moving in a straight line covers half the distance with speed of 3m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s 7.5m/s respectively. The average speed of the particle during this motion is

A
4.0 m/s

B
5.0 m/s

C
5.5 m/s

D
4.8 m/s

Solution
Question 4
4 / -1

A particle moves along a straight line such that its displacement at any time is given by s = t³ - 6t² + 3t + 4 meters. The velocity when the acceleration is zero is

A
3ms^-1

B
-12ms^-1

C
42ms^-1

D
-9ms^-1

Solution

v = 3t² - 12 - 24 + 3

a = 6t - 12

t = 2

v = 12 - 24 + 3

= -9
Question 5
4 / -1

Three blocks of masses M₁,M₂& M₃ are connected by mass-less strings as shown on a friction-less table. They are pulled with a force T₃ = 40N. If M₁ = 10Kg, M₂ = 6Kg, M₃ = 4KKg then Tension T₂ will be:

A
20 N

B
40 N

C
10 N

D
32 N

Solution
Question 6
4 / -1

The blocks of mass M₁ and M₂ are connected to each other through a light spring as shown in figure. If we push mass M₁ with a force of F and cause acceleration a in mass M₁, what will be the acceleration in M₂:

A
F/M₂

B
F/(M₁+M₂)

C
a

D
(F-M₁a)/M₂

Solution
Question 7
4 / -1

A balloon has 5gm of air. A small hole is pierced into it, the air escapes at a uniform rate with a velocity of 4cm/sec. If the balloon shrinks completely in 2.5 second, the mean force acting on the balloon is

A
2 dynes

B
50 dynes

C
8 dynes

D
8 N

Solution
Question 8
4 / -1

Two skaters of masses 40 kg and 60 kg respectively stand facing each other at S1 and S2 where S1S2 is 5m. They pull on a massless rope stretched between them, then they meet at

A
2.5 meters from S₁ and S₂

B
3 meters from S₁ and 2 meters form S₂

C
2 meters from S₁ and 3 meters form S₂

D
3 meters from S₁ and 8 meters form S₂

Solution

d = m₂d/m₁ + m₂

d = 3 meters.
Question 9
4 / -1

A man sits on a chair supported by a rope passing over a friction less fixed pulley. The man who weights 1000N exerts a force of 450 N on the chair downwards while pulling on the rope. If the chair weight 250 N and g is 10 ms^-2, then the acceleration of the chair is

A
0.45 ms^-2

B
zero

C
2ms^-2

D
9/25 ms^-2

Solution

Mass of man = 100 kg,

Mass of chair = 25 kg.

a = ?

For chair:

T - 450 - 250 = 25 a.

For man:

T + 450 - 1000 = 100a.

a = 2m/s², T = 750 N
Question 10
4 / -1

A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read __respectively

A
4 kg and zero kg

B
zero kg and 4 kg

C
4 kg and 4 kg

D
2 kg and 2 kg

Solution

As the spring balances are massless therefore the reading of both balance should be equal.