The external diameter of a 5 m long hollow copper tube is 10 cm and the thickness of its wall is 5 mm. If the specific resistance of copper be \( 1.7 \times 10^{-8} \, \Omega\text{-m} \), then its resistance would be approximately

Arrange the following in the increasing order of de-Broglie wavelength:
A. A bullet of mass 0.02 kg travelling at speed of 3.3 km s⁻¹
B. A ball of mass 0.0331 kg moving with speed of 2 m s⁻¹
C. A dust particle of mass \( 2 \times 10^{-10} \text{ kg} \) drifting with a speed of 3.3 m s⁻¹
D. A photon having a momentum of \( 6.63 \times 10^{-26} \text{ kg m s}^{-1} \)
E. An electron accelerated through a potential difference of 100 V
Choose the correct answer from the options given below:

A diverging lens of glass (\( \mu = 1.5 \)) has both surfaces of the same radius of curvature (R). On immersion in a medium of refractive index (\( \mu = 1.8 \)), it will behave as:

The coil of a moving coil galvanometer is wound over a metallic frame

Which of the following statements are true?
(A) Rheostat can be used both as a variable resistance and a potential divider.
(B) An electrical circuit is functional only if all the components of the circuit are connected in proper order, assuming that all circuit components/ devices are in working condition and key is closed.
(C) An open circuit means a break in some part of a circuit which could be deliberate such as a key in open position or a fault such as broken wire or burnt out component(s) or loose connection.
(D) Rheostat as a potential divider gives variable resistance.
Choose the correct answer from the options given below:

Visible light of wavelength 600 nm falls normally on a single slit and diffraction pattern is obtained on a screen. It is found that the second diffraction minima is at \( \frac{\pi}{3} \). If the first minimum is obtained at \( \theta_1 \), then \( \theta_1 \) is:
Given: \( \sin 25^\circ = \frac{\sqrt{3}}{4} \)

The rate of change of current which produces an induced emf of 100 V in an inductor of inductance 10 H is

Which of the following statements are true regarding alternating current:
(A) In an a.c. circuit containing resistance only, a.c. power is expressed in the same form as d.c. power (\( P = I^2 R \)), using a special value of current called root mean square (rms) or effective current, denoted by \( I_{rms} \).
(B) A phasor is a vector.
(C) Resonance phenomenon is exhibited by a circuit even if both L and C are not present in the circuit.
(D) For circuits used for transporting electric power, a low power factor implies less power loss in transmission.
Choose the correct answer from the options given below:

How many haploid cells will be formed after first meiotic division of one primary spermatocyte ?

Number of births during a given period in a population is called as

In hydrogen atom light corresponding to the transition \(n=4\) to \(n=2\) falls on cesium metal. The work function of the metal is 1.9 eV . What is the maximum kinetic energy of the photoelectrons emitted?

According to Einstein's photoelectric equation :

A machine costing ₹1,00,000 has a useful life of 5 years. The estimated scrap value is ₹20,000.
Using straight line method, the annual depreciation is: