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

An electron of mass \( 9.11 \times 10^{-31} \text{ kg} \) is moving with velocity \( 5.4 \times 10^6 \text{ m/s} \). Its momentum will be

The electric potential due to an electric dipole
(A) depends on r, where r is the magnitude of position vector \( \vec{r} \)
(B) depends on the angle between the position vector \( \vec{r} \) and the dipole moment vector \( \vec{p} \)
(C) falls off at long distances, as \( 1/r^2 \)
(D) does not depend upon the distance separating the charges
Choose the correct answer from the options given below:

igure given below shows variation of photocurrent with anode potential for different intensities of incident radiation. Some of the results obtained from the experiments are described below on the basis of the graph. Identify the correct results:

(A) The photoelectric current is higher for higher intensity of the incident radiation.
(B) The negative potential required to decrease the photocurrent at different intensities to zero is different.
(C) If the positive potential of the anode is increased beyond a certain value, the photocurrent does not increase for a given intensity.
(D) If the potential applied at the anode is zero, then the photocurrent is lower than the maximum value of current for the given intensity.
Choose the correct answer from the options given below:

It is observed that only 25% of a given radioactive sample is left undecayed after 16 days. What is the decay constant of the sample in \(\text{day}^{-1}\)?

A capacitor of capacitance \( C = 10 \text{ } \mu\text{F} \) is charged by connecting it to a battery of emf 12 V. The capacitor is now disconnected and reconnected to the battery with the polarity reversed. The heat developed in the connecting wires will be:

The maximum power drawn out of cell is given by : (E is emf, r is internal resistance)

Which of the following pair of contrasting traits was not studied by Mendel ?

When a charged particle moves in a uniform magnetic field, its kinetic energy:

Let \(A\) and \(B\) be two invertible square matrices of same order, then which of the following is not correct?

Identify the INCORRECT statement(s) in the context of phenomenon of interference.
1. All bright and dark fringes have equal width.
2. All bright fringes have the same intensity.
3. Fringe width depends on the distance of screen from the slits.
4. All dark and bright fringes are not equally spaced.
Choose the correct answer from the options given below:

Monochromatic light of wavelength \( 600 \text{ nm} \) is incident from air onto a water surface. Find the wavelength and speed of light respectively in water. (Given: Refractive index of water \( n = 4/3 \))

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom.
Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon stom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidizing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
The starting compound Y in the following reaction is
\(\text{Y}\) \(\xrightarrow{\text{oxidation}}\) \(\text{aldehyde}\) \(\xrightarrow{\text{oxidation}}\) \(\text{carboxylic acids}\)