For the following questions answer them individually
Identify the correct statements:
A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.
B. When a dielectric mediwn is placed between the charged plates of a capacitor, displacement of charges cannot occurdue to insulation property of dielectric.
C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.
D. For a point charge, concentric spherical shells centered at the location of the charge are equipotential surfaces.
Choose the correct answer from the options given below :
A particle starts moving from time t = 0 and its coordinate is given as $$x(t)=4Tt^{3}-3t$$
A. The particle returns to its original position (origin) 0.866 units later
B. The particle is 1 unit away from origin at its turning point
C. Acceleration of the particle is non-negative
D. The particle is 0.5 units away from origin at its turning point
E. Particle neveT turns back as accelerntion is non-negative
Choose the correct answer from the options given below :
The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young's modulus of the bar material are increased by 0.5% and 1 %, respectively then the speed of the wave is changed approximately to m/ s.
Identify the correct statements :
A. Electrostatic field lines form closed loops .
B. The eleclric field lines point radially outward when charge is greater than zero.
C. The Gauss - Law is valid only for inverse - square force.
D. The workdone in moving a charged particle in a static eleclric field around a closed path is zero.
E. The motion of a particle under Coulomb's force must take place in a plane.
Choose the correct answer from the options given below:
Which one of the following is not a measurable quantity ?
The time period of a simple harmonic oscillator is $$T=2\pi \sqrt{\frac{k}{m}}$$. Measured value of mass (m) of the object is 10 g with an accuracy of 10 mg and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant (k) is________%.
A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is:
A. maximum at either ends of the conductor and minimum at the midpoint
B. maximum at the axis of the conductor
C. minimum at the surface of the conductor
D. minimum at the axis of the conductor
E. same at all points in the cross-section of the conductor
Choose the correct answer from the options given below :
When the position vector $$\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}$$ changes sign as $$-\overrightarrow{r}$$, which one of the following vector will not flip under sign change?
Matd1 List - I with List - II.
List - I List - II
A. Coefficient of viscosity I. $$[ML^{-1}T^{-2}]$$
B. Surface tension II. $$[ML^{2}T^{-2}]$$
C. Pressure III. $$[ML^{0}T^{-2}]$$
D. Surface energy IV. $$[ML^{-1}T^{-1}]$$
Choose the correct answer from the options given below:
A plane electromagnetic wave is moving in free space with velocity $$c=3\times 10^{8} m/s$$ and its eleclric field is given as $$\overrightarrow{E}=54\sin (kz-\omega t)\widehat{j} V/m$$, where $$\widehat{j}$$ is the unit vector along y-axis. The magnetic field vector $$\overrightarrow{B}$$ of the wave is :
