$A$ launching vehicle carrying an artificial satellite of mass $m$ is set for launch on the surface of the earth of mass $M$ and radius $R$. If the satellite is intended to move in a circular orbit of radius $7R$,the minimum energy required to be spent by the launching vehicle on the satellite is (Gravitational constant $= G$)
- A$\frac{GMm}{R}$
- B$\frac{13GMm}{14R}$
- C$\frac{GMm}{7R}$
- D$\frac{GMm}{14R}$
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Match the columns.
Column-$I$ Column-$II$ $(a)$ Parturition $(p)$ Attachment of embryo to endometrium $(b)$ Gestation $(q)$ Release of egg from Graafian follicle $(c)$ Ovulation $(r)$ Delivery of Foetus from uterus $(d)$ Implantation $(s)$ Duration between pregnancy and birth $(t)$ Formation of zygote by fusion of egg and sperm
| Column-$I$ | Column-$II$ |
| $(a)$ Parturition | $(p)$ Attachment of embryo to endometrium |
| $(b)$ Gestation | $(q)$ Release of egg from Graafian follicle |
| $(c)$ Ovulation | $(r)$ Delivery of Foetus from uterus |
| $(d)$ Implantation | $(s)$ Duration between pregnancy and birth |
| $(t)$ Formation of zygote by fusion of egg and sperm |
Two solid spheres $A$ and $B$ made of the same material have radii $r_A$ and $r_B$ respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature of $A$ and $B$ is :
If $1, \log_9(3^{1-x} + 2), \log_3(4 \cdot 3^x - 1)$ are in $A.P.$,then $x$ equals
Four thin rods of same mass $M$ and same length $l$ form a square as shown in the figure. The moment of inertia of this system about an axis passing through the centre $O$ and perpendicular to its plane is
Assertion $(A)$: $NaCl$ is less soluble in heavy water than in ordinary water.
Reason $(R)$: Dielectric constant of ordinary water is more than that of heavy water.
The correct answer is
Reason $(R)$: Dielectric constant of ordinary water is more than that of heavy water.
The correct answer is
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