Physics - Online Test

Q1. A thin circular ring of mass M and radius R is rotating about its central axis with angular velocity. Four point objects each of mass m are attached gently to the opposite ends of two perpendicular diameters, the angular velocity of the ring is given by
Answer : Option A
Explaination / Solution:

Let  ω  be the angular velocity of the Ring of Mass M , thus the moment of inetia about given axis is  I1 =   and  the four point objects are genlty placed at perpendicular diameters at opposite end, so thus the distance of each object from axis of rotation is R, so  total moment of inetia of ring and four objects is  I = 

According to law of conservation of angular momentum  I1 ω = I2ω2 , So on solving )ω


Q2. It is easier to spray water to which soap is added, because
Answer : Option C
Explaination / Solution:

Addition of soap decreases the surface tension of water , as we know the energy of spraying is directly proportional to the surface tension .

Q3. Anvils made of single crystals of diamond, with the shape as shown in Figure, are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compression force of 50,000 N. What is the pressure at the tip of the anvil?

Answer : Option C
Explaination / Solution:
No Explaination.


Q4. A plano-convex lens is made of glass of refractive index 1.5.The focal length ƒ of the lens and radius of curvature R of its curved face are related as
Answer : Option A
Explaination / Solution:
No Explaination.


Q5. In a nuclear reaction which of the following is conserved
Answer : Option D
Explaination / Solution:
No Explaination.


Q6.

A brass boiler has a base area of 0.15 m2 and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass = 109 J  ; Heat of vaporization of water = 2256 


Answer : Option D
Explaination / Solution:

Base area of the boiler, = 0.15 m2
Thickness of the boiler, l = 1.0 cm = 0.01 m
Boiling rate of water, R = 6.0 kg/min
Mass, m = 6 kg
Time, t = 1 min = 60 s
Thermal conductivity of brass, K = 109 J s –1 m–1 K–1
Heat of vaporisation, L = 2256 × 103 J kg–1
The amount of heat flowing into water through the brass base of the boiler is

     ..........(1)

where,
T1 = Temperature of the flame in contact with the boiler
T2 = Boiling point of water = 100°C 
Heat required for boiling the water

Q = mL  ....… (ii)
Equating equations (i) and (ii), we get:
∴ mL = KA(T1 - T2t / 
T1 - T2 = mLl / KAt
= 6 × 2256 × 103 × 0.01 / (109 × 0.15 × 60)
= 137.98 o C
Therefore, the temperature of the part of the flame in contact with the boiler is 237.98°C.


Q7. The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area of the sheet to correct significant figures.
Answer : Option A
Explaination / Solution:

length, l = 4.234 m

breadth,b = 1.005 m

thickness, t = 2.01 cm = 2.01 × 10-2 m Area of the sheet = 2 (l × b + b × t + t × l) = 2 (4.234 × 1.005 + 1.005 × 0.0201 + 0.0201 × 4.234) = 2 (4.3604739) = 8.7209478 m​​​​​​2 

As area can contain a maximum of three significant digits, therefore, rounding off, we get Area = 8.72 m​​​​​​2


Q8. In an L-R-C series circuit, the rms voltage across the resistor is 30.0 V, across the capacitor it is 90.0 V, and across the inductor it is 50.0 V. Rms voltage of the source is
Answer : Option A
Explaination / Solution:

VR=30V
VC=90V
VL=50V
V=(VCVL)2+VR2=(9050)2+302=402+302V=50volt




Q9. Whose motion is an ideal case of SHM?
Answer : Option D
Explaination / Solution:
No Explaination.


Q10. A bar magnet of magnetic moment 1.5 J/T lies aligned with the direction of a uniform magnetic field of 0.22 T. What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment normal to the field direction?
Answer : Option A
Explaination / Solution:
No Explaination.