Physics - Online Test

Q1. A gas expands from I to F along three possible paths, as indicated in Figure. Calculate the work in joules done by the gas along the paths IAF, IF, and IBF

Answer : Option A
Explaination / Solution:

Work done by gas = area under P-V curve

Q2. A nucleus is at rest in the laboratory frame of reference. If it disintegrates into two smaller nuclei
Answer : Option B
Explaination / Solution:

Let, M = mass of nucleus at rest . m1 and m2 are masses of two smaller nuclei. v1 and v2 are the velocities of respective masses

Now, According to the law of conservation of momentum,

Initial momentum before disintegration = final momentum after disintegration



As masses m1and m2 cannot be negative,  and  having opposite signs and so the two smaller nuclei move in opposite directions. 


Q3. A 50.0-kg marathon runner runs up the stairs to the top of a 443-m-tall Tower. To lift herself to the top in 15.0 minutes, what must be her average power output?
Answer : Option A
Explaination / Solution:

P=WtW=mgh=50×9.8×443t=15×60secP=50×9.8×44315×60=241W
Q4. orders of magnitude of random electron motion speed to drift speed are like
Answer : Option A
Explaination / Solution:

The random velocities of electrons is of the order 105 to 106 m/s, while the drift velocities are of the order 0.1mm/s (10-4m/s)

Q5. Find the kinetic, potential, and total energies of the hydrogen atom in the first excited level, and find the wavelength of the photon emitted in a transition from that level to the ground level.
Answer : Option C
Explaination / Solution:
No Explaination.


Q6. The effective capacitance of two capacitors of capacitances C1 and C2 (with C2 > C1) connected in parallel is 25/6 times the effective capacitance when they are connected in series. The ratio C2/C1 is
Answer : Option D
Explaination / Solution:

Given , then where k is a constant.

Solving , 
Q7. The moment of inertia of a solid sphere of density ρ and radius R is given by
Answer : Option B
Explaination / Solution:

    As Mass =  Density x Volume of Sphere 


Q8. The unit of surface tension in S.I units is given by
Answer : Option C
Explaination / Solution:

surface tension is measured in force per unit length. The S.I unit is newton per meter but the CGS unit dyne per centimeter is also used.

Q9. The fundamental force with the shortest range is
Answer : Option C
Explaination / Solution:

There are four fundamental forces in nature which are Gravitational force, Strong force, Weak force and Electromagnetic force.

Gravitational Force: This force is the weakest but has an infinite range.

Strong Nuclear force: This force holds the nucleus of an atom together. It is the strongest of the forces. It acts over a range of about 10-15m.

Weak Nuclear Force: This force is weak compared to the strong force as the name implies and has the shortest

range of 10-18m

Electromagnetic Force: This is the second strongest force after the strong force and it acts on electrically charged particles. It has strength of 1/137 relative to the strong force but has an infinite range.


Q10. One mole of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate the increase in its internal energy.
Answer : Option D
Explaination / Solution:

Hydrogen is a diatomic gas. (C= 2.5R)

Change in internal energy