Consider an isolated system of two concentric spherical black bodies. The inner sphere of radius \( R \) is at temperature \( T \), and the outer sphere of radius \( 4R \) is at temperature \( 2T \). The rate of absorption of radiant energy by the outer sphere is:
Match the devices given in List I with their uses given in List II:
A block of mass 2 kg is tied to one end of a 2 m long metal wire of 1.0 mm² area of cross-section and rotated in a vertical circle such that the tension in the wire is zero at the highest point. If the maximum elongation in the wire is 2 mm, the Young's modulus of the metal is:
Young's double slit experiment is performed with monochromatic light of wavelength \( 6000 \text{Ã…} \). If the intensity of light at a point on the screen where the path difference is \( 2000 \text{Ã…} \) is \( I_1 \) and the intensity of light at a point where path difference is \( 1000 \text{Ã…} \) is \( I_2 \), then the ratio \( I_1: I_2 \) is:
An alphabet 'a' made of two similar thin uniform metal plates of each length \( L \) and width \( a \) is placed on a horizontal surface as shown in the figure. If the alphabet is vertically inverted, the shift in the position of its center of mass from the horizontal surface is:
Two capacitors of capacitances \( 1\mu F \) and \( 2\mu F \) can separately withstand potentials of \( 6 \) kV and \( 4 \) kV respectively. The total potential, they together can withstand when they are connected in series is:
A big liquid drop splits into 'n' similar small drops under isothermal conditions, then in this process:
If the excess pressures inside two soap bubbles are in the ratio \( 2:3 \), then the ratio of the volumes of the soap bubbles is:
