The electric potential energy for a system of two point charges of \( 6 \, \mu C \) and \( -3 \, \mu C \) placed at points x = - 9 cm and x = 9 cm, respectively is

A radioactive source is freshly prepared. It is found that it emits radiation of intensity which is 128 times the premissible safe level. The half life of this sample is 3 hours. Find the minimum time after which it would be possible to work safely with this radioactive source.

A galvanometer having a resistance of \(7 \Omega\) is shunted by a resistance of \(3 \Omega\). If the total current is 1 A, the value of current passing through the shunt is

The core of a transformer is laminated, so as to

Choose the correct relation between focal length f and radius of curvature R of a convex mirror from the following:

A current of 15 A flows in a wire of cross-sectional area \( 5 \text{ mm}^2 \) with a drift velocity of \( 3 \times 10^{-3} \text{ m/s} \). The electron density in the wire will be :

The magnifying power of a compound microscope is high, if

Read the passage carefully and answer the questions based on the passage:
Pollen pistil interaction involves all events from the landing of pollen grains on the stigma until the pollen tube enters the embryo sac (when the pollen is compatible). When a pollen tube grows through the style and enters into the ovules, it finally discharges two male gametes in one of the synergids. Syngamy and triple fusion are two fusion events occur in angiosperms. Thus, angiosperms exhibit double fertilization. The products of these fusions are the diploid zygote and triploid primary endosperm nucleus. Zygote develops into embryo and primary endosperm cell forms the endosperm tissue. The developing embryo passes through different stages before maturation.
With reference to reproduction in flowering plants, which one of the following is incorrect?

The nuclear force is:

The average power associated with an ideal capacitor of capacitance \( 5 \ \mu\text{F} \) connected to an alternating emf \( E = 200 \sin 100\pi t \) is:

On 1st April 2024, person ' \(X\) ' purchased a machinery costing ₹ 65000 and spent ₹ 10000 on its installation. The estimated effective life of the machinery is 5 years with a scrap value of ₹ 10000 . The annual depreciation using the straight-line method with the accounting year ending on 31st March 2025 is :

Match List - I with List - II:

List - I (\(\text{K}_\text{H}\) values / \(\text{K bar}\))	List - II (Gas)
A. 145	I. \(\text{CO}_2\)
B. 89	II. \(\text{He}\)
C. 76.5	III. \(\text{N}_2\) (at \(293\text{ K}\))
D. 1.67	IV. \(\text{N}_2\) (at \(303\text{ K}\))

Choose the correct answer from the options given below :

A circular coil of 100 turns and area of cross-section \( 10^{-2} \text{ m}^2 \) is rotated about its vertical diameter at 60 rpm in a uniform horizontal magnetic field of \( 3.5 \times 10^{-2} \text{ T} \). The maximum emf induced in the coil is: