Physics - Online Test

Q1.

A steel tape 1m long is correctly calibrated for a temperature of 27.0 C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 C. What is the actual length of the steel rod on that day? Coefficient of linear expansion of steel = 1.20   


Answer : Option B
Explaination / Solution:


final length =63.0136cm


Q2. The number of significant digits in 2.64 ×  is
Answer : Option D
Explaination / Solution:

There are three rules on determining how many significant figures are in a number:

  • Non-zero digits are always significant.
  • Any zeros between two significant digits are significant.
  • A final zero or trailing zeros in the decimal portion ONLY are significant.

So keeping these rules in mind, there are 3 significant digit.


Q3. An inductor with L = 9.50 mH is connected across an ac source that has voltage amplitude 45.0 V. Phase angle for the source voltage relative to the current is
Answer : Option D
Explaination / Solution:

if only inductor is present in circuit then R = 0


hence, phase angle 


Q4. The wire of the potentiometer has resistance 4 ohms and length 1 m. It is connected to a cell of e.m.f. 2 volts and internal resistance 1 ohm, if a cell of e.m.f. 1.2 volt is balanced by it, the balancing length will be
Answer : Option D
Explaination / Solution:

If the battery has e.m.f E, resitance of the potentiometer is R and the internal resistance of the battery is r, then the current I flowing in the potentiometer wire is given by, 


The potential difference V across the potentiometer 


The potential gradient = ( potential drop across the potentiometer)/ length of the potentiometer wire)

= V/l

= 1.6/1

Potential gradient  = 1.6 V/m

The emf of the cell



Q5. The bob of a simple pendulum has a mass of 20 g. The period of oscillations of the pendulum is 0.75 s. When the mass of bob is increased to 40 g, without any other change, the time period now becomes
Answer : Option D
Explaination / Solution:
No Explaination.


Q6. The work done in rotating a magnet of magnetic moment  in a magnetic field of T form the direction along the magnetic field to opposite direction to the magnetic field, is
Answer : Option A
Explaination / Solution:

The potential energy of a magnetic dipole of moment m placed in a magnetic field is When the magnet is aligned in the direction of the field, and the initial potential energy When the magnet is aligned opposite to the direction of the fieldits potential energy isWork done in rotating the magnet is equal to the change in its potential energy. 


Q7. Two slits are made one millimetre apart and the screen is placed one metre away. Blue green light of wavelength 500 nm. is used . what should the width of each slit be to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern
Answer : Option C
Explaination / Solution:
No Explaination.


Q8. Diamagnetic susceptibilities are very nearly temperature independent because
Answer : Option B
Explaination / Solution:
No Explaination.


Q9. The behavior of Ge as a semi – conductor is due to the width of
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. With reference to the figure below which shows a particle moving along a straight line , y axis represents the position and x axis represents time, if = 270m, The instantaneous velocity at  in m/s is

Answer : Option B
Explaination / Solution:

Instantaneous speed is the slope of the line at that point.

According to given image 

Slope of line at x​​​​​​2 = 

= 122.7